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Sample records for math strategy linear

  1. Math Fact Strategies Research Project

    Science.gov (United States)

    Boso, Annie

    2011-01-01

    An action research project was conducted in order to determine effective math fact strategies for first graders. The traditional way of teaching math facts included using timed tests and flashcards, with most students counting on their fingers or a number line. Six new research-based strategies were taught and analyzed to decide which methods…

  2. On the relationship between math anxiety and math achievement in early elementary school: The role of problem solving strategies.

    Science.gov (United States)

    Ramirez, Gerardo; Chang, Hyesang; Maloney, Erin A; Levine, Susan C; Beilock, Sian L

    2016-01-01

    Even at young ages, children self-report experiencing math anxiety, which negatively relates to their math achievement. Leveraging a large dataset of first and second grade students' math achievement scores, math problem solving strategies, and math attitudes, we explored the possibility that children's math anxiety (i.e., a fear or apprehension about math) negatively relates to their use of more advanced problem solving strategies, which in turn relates to their math achievement. Our results confirm our hypothesis and, moreover, demonstrate that the relation between math anxiety and math problem solving strategies is strongest in children with the highest working memory capacity. Ironically, children who have the highest cognitive capacity avoid using advanced problem solving strategies when they are high in math anxiety and, as a result, underperform in math compared with their lower working memory peers. Copyright © 2015 Elsevier Inc. All rights reserved.

  3. Simulations of linear and Hamming codes using SageMath

    Science.gov (United States)

    Timur, Tahta D.; Adzkiya, Dieky; Soleha

    2018-03-01

    Digital data transmission over a noisy channel could distort the message being transmitted. The goal of coding theory is to ensure data integrity, that is, to find out if and where this noise has distorted the message and what the original message was. Data transmission consists of three stages: encoding, transmission, and decoding. Linear and Hamming codes are codes that we discussed in this work, where encoding algorithms are parity check and generator matrix, and decoding algorithms are nearest neighbor and syndrome. We aim to show that we can simulate these processes using SageMath software, which has built-in class of coding theory in general and linear codes in particular. First we consider the message as a binary vector of size k. This message then will be encoded to a vector with size n using given algorithms. And then a noisy channel with particular value of error probability will be created where the transmission will took place. The last task would be decoding, which will correct and revert the received message back to the original message whenever possible, that is, if the number of error occurred is smaller or equal to the correcting radius of the code. In this paper we will use two types of data for simulations, namely vector and text data.

  4. Math in plain english literacy strategies for the mathematics classroom

    CERN Document Server

    Benjamin, Amy

    2013-01-01

    Do word problems and math vocabulary confuse students in your mathematics classes? Do simple keywords like ""value"" and ""portion"" seem to mislead them? Many words that students already know can have a different meaning in mathematics. To grasp that difference, students need to connect English literacy skills to math. Successful students speak, read, write, and listen to each other so they can understand, retain, and apply mathematics concepts. This book explains how to use 10 classroom-ready literacy strategies in concert with your mathematics instruction. You'll learn how to develop stude

  5. Math

    CERN Document Server

    Robertson, William C

    2006-01-01

    Flummoxed by formulas? Queasy about equations? Perturbed by pi? Now you can stop cursing over calculus and start cackling over Math, the newest volume in Bill Robertson's accurate but amusing Stop Faking It! best sellers. As Robertson sees it, too many people view mathematics as a set of rules to be followed, procedures to memorize, and theorems to apply. This book focuses on the reasoning behind the rules, from math basics all the way up to a brief introduction to calculus.

  6. Improving basic math skills through integrated dynamic representation strategies.

    Science.gov (United States)

    González-Castro, Paloma; Cueli, Marisol; Cabeza, Lourdes; Álvarez-García, David; Rodríguez, Celestino

    2014-01-01

    In this paper, we analyze the effectiveness of the Integrated Dynamic Representation strategy (IDR) to develop basic math skills. The study involved 72 students, aged between 6 and 8 years. We compared the development of informal basic skills (numbers, comparison, informal calculation, and informal concepts) and formal (conventionalisms, number facts, formal calculus, and formal concepts) in an experimental group (n = 35) where we applied the IDR strategy and in a Control group (n = 37) in order to identify the impact of the procedure. The experimental group improved significantly in all variables except for number facts and formal calculus. It can therefore be concluded that IDR favors the development of the skills more closely related to applied mathematics than those related to automatic mathematics and mental arithmetic.

  7. Strategies for Reducing Math Anxiety. Information Capsule. Volume 1102

    Science.gov (United States)

    Blazer, Christie

    2011-01-01

    Approximately 93 percent of Americans indicate that they experience some level of math anxiety. Math anxiety is defined as negative emotions that interfere with the solving of mathematical problems. Studies have found that some students who perform poorly on math assessments actually have a full understanding of the concepts being tested; however,…

  8. Self-Regulated Learning Strategies and Pre-University Math Performance of International Students in Malaysia

    Science.gov (United States)

    Loong, Tang Eng

    2012-01-01

    This study is an attempt to compare the use of self-regulated learning strategies and their math performance between home and international students in the Monash University Foundation Year (MUFY) and determine the self-regulated learning strategies that are significantly associated with their math performance. The participants of the study were…

  9. Learning to Love Math: Teaching Strategies that Change Student Attitudes and Get Results

    Science.gov (United States)

    Willis, Judy

    2010-01-01

    Has it ever seemed to you that some students are hardwired to dislike math? If so, then here's a book that explains how negative attitudes toward math get established in the brain and what you can do to turn those attitudes around. Math teacher and neurologist Judy Willis gives you over 50 strategies you can use right away in any grade level to:…

  10. Effectiveness of a Class-Wide Peer-Mediated Elementary Math Differentiation Strategy

    Science.gov (United States)

    Lloyd, Jason D.

    2017-01-01

    Approximately 60% of classroom students have insufficient math skills. Within a Multi-Tiered Systems of Support (MTSS) framework, teachers can implement core differentiation strategies targeted at improving math skills of an entire class of students. Differentiation programs are developed in order to target academic skills of groups of students…

  11. The Impact of Metacognitive Strategies and Self-Regulating Processes of Solving Math Word Problems

    Science.gov (United States)

    Vula, Eda; Avdyli, Rrezarta; Berisha, Valbona; Saqipi, Blerim; Elezi, Shpetim

    2017-01-01

    This empirical study investigates the impact of metacognitive strategies and self-regulating processes in learners' achievement on solving math word problems. It specifically analyzes the impact of the linguistic factor and the number of steps and arithmetical operations that learners need to apply during the process of solving math word problems.…

  12. The Effect of Instructional Strategies on Math Anxiety and Achievement: A Mixed Methods Study of Preservice Elementary Teachers

    Science.gov (United States)

    Lorenzen, Janelle K.

    2017-01-01

    This study addressed how different instructional strategies affected preservice elementary teachers' levels of math anxiety and their achievement in a math content course while considering descriptions of their experiences in the course in relation to their math anxiety and achievement. The instructional strategies used were traditional teaching…

  13. The impact of metacognitive strategies and self-regulating processes of solving math word problems

    OpenAIRE

    Eda Vula; Rrezarta Avdyli; Valbona Berisha; Blerim Saqipi; Shpetim Elezi

    2017-01-01

    This empirical study investigates the impact of metacognitive strategies and self-regulating processes in learners’ achievement on solving math word problems. It specifically analyzes the impact of the linguistic factor and the number of steps and arithmetical operations that learners need to apply during the process of solving math word problems. Two hundred sixty-three learners, of three classes of third graders (N=130) and four classes of fifth ...

  14. Age-Related Differences of Individuals' Arithmetic Strategy Utilization with Different Level of Math Anxiety.

    Science.gov (United States)

    Si, Jiwei; Li, Hongxia; Sun, Yan; Xu, Yanli; Sun, Yu

    2016-01-01

    The present study used the choice/no-choice method to investigate the effect of math anxiety on the strategy used in computational estimation and mental arithmetic tasks and to examine age-related differences in this regard. Fifty-seven fourth graders, 56 sixth graders, and 60 adults were randomly selected to participate in the experiment. Results showed the following: (1) High-anxious individuals were more likely to use a rounding-down strategy in the computational estimation task under the best-choice condition. Additionally, sixth-grade students and adults performed faster than fourth-grade students on the strategy execution parameter. Math anxiety affected response times (RTs) and the accuracy with which strategies were executed. (2) The execution of the partial-decomposition strategy was superior to that of the full-decomposition strategy on the mental arithmetic task. Low-math-anxious persons provided more accurate answers than did high-math-anxious participants under the no-choice condition. This difference was significant for sixth graders. With regard to the strategy selection parameter, the RTs for strategy selection varied with age.

  15. Age-Related Differences of Individuals’ Arithmetic Strategy Utilization with Different Level of Math Anxiety

    Science.gov (United States)

    Si, Jiwei; Li, Hongxia; Sun, Yan; Xu, Yanli; Sun, Yu

    2016-01-01

    The present study used the choice/no-choice method to investigate the effect of math anxiety on the strategy used in computational estimation and mental arithmetic tasks and to examine age-related differences in this regard. Fifty-seven fourth graders, 56 sixth graders, and 60 adults were randomly selected to participate in the experiment. Results showed the following: (1) High-anxious individuals were more likely to use a rounding-down strategy in the computational estimation task under the best-choice condition. Additionally, sixth-grade students and adults performed faster than fourth-grade students on the strategy execution parameter. Math anxiety affected response times (RTs) and the accuracy with which strategies were executed. (2) The execution of the partial-decomposition strategy was superior to that of the full-decomposition strategy on the mental arithmetic task. Low-math-anxious persons provided more accurate answers than did high-math-anxious participants under the no-choice condition. This difference was significant for sixth graders. With regard to the strategy selection parameter, the RTs for strategy selection varied with age. PMID:27803685

  16. Age-related Differences of Individuals’ Arithmetic Strategy Utilization with Different Level of Math Anxiety

    Directory of Open Access Journals (Sweden)

    Jiwei Si

    2016-10-01

    Full Text Available The present study used the choice/no-choice method to investigate the effect of math anxiety on the strategy used in computational estimation and mental arithmetic tasks and to examine age-related differences in this regard. 57 fourth graders, 56 sixth graders, and 60 adults were randomly selected to participate in the experiment. Results showed the following: (1 High-anxious individuals were more likely to use a rounding-down strategy in the computational estimation task under the best-choice condition. Additionally, sixth-grade students and adults performed faster than fourth-grade students on the strategy execution parameter. Math anxiety affected response times (RTs and the accuracy with which strategies were executed. (2 The execution of the partial-decomposition strategy was superior to that of the full-decomposition strategy on the mental arithmetic task. Low-math-anxious persons provided more accurate answers than did high-math-anxious participants under the no-choice condition. This difference was significant for sixth graders. With regard to the strategy selection parameter, the RTs for strategy selection varied with age.

  17. The Effects of the Use of Microsoft Math Tool (Graphical Calculator) Instruction on Students' Performance in Linear Functions

    Science.gov (United States)

    Kissi, Philip Siaw; Opoku, Gyabaah; Boateng, Sampson Kwadwo

    2016-01-01

    The aim of the study was to investigate the effect of Microsoft Math Tool (graphical calculator) on students' achievement in the linear function. The study employed Quasi-experimental research design (Pre-test Post-test two group designs). A total of ninety-eight (98) students were selected for the study from two different Senior High Schools…

  18. Mining EEG with SVM for Understanding Cognitive Underpinnings of Math Problem Solving Strategies.

    Science.gov (United States)

    Bosch, Paul; Herrera, Mauricio; López, Julio; Maldonado, Sebastián

    2018-01-01

    We have developed a new methodology for examining and extracting patterns from brain electric activity by using data mining and machine learning techniques. Data was collected from experiments focused on the study of cognitive processes that might evoke different specific strategies in the resolution of math problems. A binary classification problem was constructed using correlations and phase synchronization between different electroencephalographic channels as characteristics and, as labels or classes, the math performances of individuals participating in specially designed experiments. The proposed methodology is based on using well-established procedures of feature selection, which were used to determine a suitable brain functional network size related to math problem solving strategies and also to discover the most relevant links in this network without including noisy connections or excluding significant connections.

  19. Mining EEG with SVM for Understanding Cognitive Underpinnings of Math Problem Solving Strategies

    Directory of Open Access Journals (Sweden)

    Paul Bosch

    2018-01-01

    Full Text Available We have developed a new methodology for examining and extracting patterns from brain electric activity by using data mining and machine learning techniques. Data was collected from experiments focused on the study of cognitive processes that might evoke different specific strategies in the resolution of math problems. A binary classification problem was constructed using correlations and phase synchronization between different electroencephalographic channels as characteristics and, as labels or classes, the math performances of individuals participating in specially designed experiments. The proposed methodology is based on using well-established procedures of feature selection, which were used to determine a suitable brain functional network size related to math problem solving strategies and also to discover the most relevant links in this network without including noisy connections or excluding significant connections.

  20. Reducing the Impact of Stereotype Threat on Women's Math Performance: Are Two Strategies Better than One?

    Science.gov (United States)

    Jones, Paul R.

    2011-01-01

    Introduction: Two studies examined whether stereotype threat impairs women's math performance and whether concurrent threat reduction strategies can be used to offset this effect. Method: In Study 1, collegiate men and women (N = 100) watched a video purporting that males and females performed equally well ("gender-fair") or males outperformed…

  1. The impact of metacognitive strategies and self-regulating processes of solving math word problems

    Directory of Open Access Journals (Sweden)

    Eda Vula

    2017-09-01

    Full Text Available This empirical study investigates the impact of metacognitive strategies and self-regulating processes in learners’ achievement on solving math word problems. It specifically analyzes the impact of the linguistic factor and the number of steps and arithmetical operations that learners need to apply during the process of solving math word problems. Two hundred sixty-three learners, of three classes of third graders (N=130 and four classes of fifth graders (N=133 of the elementary cycle from two urban schools of Kosovo, participated in the study. Almost half of the total number of the third and fifth-graderswere exposed to metacognitive instruction. The rest of the learners were included in control classes in which they performed tasks without having been given any specific guidance, based exclusively on traditional methods and respective textbooks. All the learners were tested in math word problems twice, before the intervention and after it. Research findings have shown that metacognitive strategies and self-regulating processes that learners use to control their actions, to reason, and to reflect, are one of the main resources that influence their success in solving a math word problem. Although the difference between the pre-test and the post-test resultswas statistically significant solely with the fifth-grade experimental classes, yet an improved performance was observed in third-grade experimental learners’ classes compared to control classes. Theoretical and practical implications of the research are discussed in the end of the study.

  2. Stress, Time Pressure, Strategy Selection and Math Anxiety in Mathematics: A Review of the Literature.

    Science.gov (United States)

    Caviola, Sara; Carey, Emma; Mammarella, Irene C; Szucs, Denes

    2017-01-01

    We review how stress induction, time pressure manipulations and math anxiety can interfere with or modulate selection of problem-solving strategies (henceforth "strategy selection") in arithmetical tasks. Nineteen relevant articles were identified, which contain references to strategy selection and time limit (or time manipulations), with some also discussing emotional aspects in mathematical outcomes. Few of these take cognitive processes such as working memory or executive functions into consideration. We conclude that due to the sparsity of available literature our questions can only be partially answered and currently there is not much evidence of clear associations. We identify major gaps in knowledge and raise a series of open questions to guide further research.

  3. Set size influences the relationship between ANS acuity and math performance: a result of different strategies?

    Science.gov (United States)

    Dietrich, Julia Felicitas; Nuerk, Hans-Christoph; Klein, Elise; Moeller, Korbinian; Huber, Stefan

    2017-08-29

    Previous research has proposed that the approximate number system (ANS) constitutes a building block for later mathematical abilities. Therefore, numerous studies investigated the relationship between ANS acuity and mathematical performance, but results are inconsistent. Properties of the experimental design have been discussed as a potential explanation of these inconsistencies. In the present study, we investigated the influence of set size and presentation duration on the association between non-symbolic magnitude comparison and math performance. Moreover, we focused on strategies reported as an explanation for these inconsistencies. In particular, we employed a non-symbolic magnitude comparison task and asked participants how they solved the task. We observed that set size was a significant moderator of the relationship between non-symbolic magnitude comparison and math performance, whereas presentation duration of the stimuli did not moderate this relationship. This supports the notion that specific design characteristics contribute to the inconsistent results. Moreover, participants reported different strategies including numerosity-based, visual, counting, calculation-based, and subitizing strategies. Frequencies of these strategies differed between different set sizes and presentation durations. However, we found no specific strategy, which alone predicted arithmetic performance, but when considering the frequency of all reported strategies, arithmetic performance could be predicted. Visual strategies made the largest contribution to this prediction. To conclude, the present findings suggest that different design characteristics contribute to the inconsistent findings regarding the relationship between non-symbolic magnitude comparison and mathematical performance by inducing different strategies and additional processes.

  4. Does Cognitive Strategy Training on Word Problems Compensate for Working Memory Capacity in Children with Math Difficulties?

    Science.gov (United States)

    Swanson, H. Lee

    2014-01-01

    Cognitive strategies are important tools for children with math difficulties (MD) in learning to solve word problems. The effectiveness of strategy training, however, depends on working memory capacity (WMC). Thus, children with MD but with relatively higher WMC are more likely to benefit from strategy training, whereas children with lower WMC may…

  5. Cognitive strategy interventions improve word problem solving and working memory in children with math disabilities.

    Science.gov (United States)

    Swanson, H Lee

    2015-01-01

    This study investigated the role of strategy instruction and working memory capacity (WMC) on problem solving solution accuracy in children with and without math disabilities (MD). Children in grade 3 (N = 204) with and without MD subdivided into high and low WMC were randomly assigned to 1 of 4 conditions: verbal strategies (e.g., underlining question sentence), visual strategies (e.g., correctly placing numbers in diagrams), verbal + visual strategies, and an untreated control. The dependent measures for training were problem solving accuracy and two working memory transfer measures (operation span and visual-spatial span). Three major findings emerged: (1) strategy instruction facilitated solution accuracy but the effects of strategy instruction were moderated by WMC, (2) some strategies yielded higher post-test scores than others, but these findings were qualified as to whether children were at risk for MD, and (3) strategy training on problem solving measures facilitated transfer to working memory measures. The main findings were that children with MD, but high WM spans, were more likely to benefit from strategy conditions on target and transfer measures than children with lower WMC. The results suggest that WMC moderates the influence of cognitive strategies on both the targeted and non-targeted measures.

  6. Stress, Time Pressure, Strategy Selection and Math Anxiety in Mathematics: A Review of the Literature

    Directory of Open Access Journals (Sweden)

    Sara Caviola

    2017-09-01

    Full Text Available We review how stress induction, time pressure manipulations and math anxiety can interfere with or modulate selection of problem-solving strategies (henceforth “strategy selection” in arithmetical tasks. Nineteen relevant articles were identified, which contain references to strategy selection and time limit (or time manipulations, with some also discussing emotional aspects in mathematical outcomes. Few of these take cognitive processes such as working memory or executive functions into consideration. We conclude that due to the sparsity of available literature our questions can only be partially answered and currently there is not much evidence of clear associations. We identify major gaps in knowledge and raise a series of open questions to guide further research.

  7. Cognitive Strategies, Working Memory, and Growth in Word Problem Solving in Children With Math Difficulties.

    Science.gov (United States)

    Swanson, H Lee; Lussier, Catherine M; Orosco, Michael J

    2015-01-01

    This study investigated the role of strategy instruction and working memory capacity (WMC) on word problem solving accuracy in children with (n = 100) and without (n = 92) math difficulties (MD). Within classrooms, children in Grades 2 and 3 were randomly assigned to one of four treatment conditions: verbal-only strategies (e.g., underlining question sentence), verbal + visual strategies, visual-only strategies (e.g., correctly placing numbers in diagrams), or untreated control. Strategy interventions included 20 sessions in both Year 1 and Year 2. The intent-to-treat as well as the "as-treated" analyses showed that treatment effects were significantly moderated by WMC. In general, treatment outcomes were higher when WMC was set to a high rather than low level. When set to a relatively high WMC level, children with MD performed significantly better under visual-only strategy conditions and children without MD performed better under verbal + visual conditions when compared to control conditions. © Hammill Institute on Disabilities 2013.

  8. WWC Review of the Report "The Effects of Cognitive Strategy Instruction on Math Problem Solving of Middle School Students of Varying Ability." What Works Clearinghouse Single Study Review

    Science.gov (United States)

    What Works Clearinghouse, 2014

    2014-01-01

    A recent study, "The Effects of Cognitive Strategy Instruction on Math Problem Solving of Middle School Students of Varying Ability," examined the effectiveness of "Solve It!," a program intended to improve the problem-solving skills of seventh-grade math students. During the program, students are taught cognitive strategies of…

  9. The Effects of Cognitive Strategy Instruction on Knowledge of Math Problem-Solving Processes of Middle School Students with Learning Disabilities

    Science.gov (United States)

    Krawec, Jennifer; Huang, Jia; Montague, Marjorie; Kressler, Benikia; de Alba, Amanda Melia

    2013-01-01

    This study investigated the effectiveness of "Solve It!" instruction on students' knowledge of math problem-solving strategies. "Solve It!" is a cognitive strategy intervention designed to improve the math problem solving of middle school students with learning disabilities (LD). Participants included seventh- and eighth-grade…

  10. Pricing Strategy Selection Using Fuzzy Linear Programming

    OpenAIRE

    Elif Alaybeyoğlu; Y. Esra Albayrak

    2013-01-01

    Marketing establishes a communication network between producers and consumers. Nowadays, marketing approach is customer-focused and products are directly oriented to meet customer needs. Marketing, which is a long process, needs organization and management. Therefore strategic marketing planning becomes more and more important in today’s competitive conditions. Main focus of this paper is to evaluate pricing strategies and select the best pricing strategy solution while considering internal a...

  11. Girls' Spatial Skills and Arithmetic Strategies in First Grade as Predictors of Fifth-Grade Analytical Math Reasoning

    Science.gov (United States)

    Casey, Beth M.; Lombardi, Caitlin McPherran; Pollock, Amanda; Fineman, Bonnie; Pezaris, Elizabeth

    2017-01-01

    This study investigated longitudinal pathways leading from early spatial skills in first-grade girls to their fifth-grade analytical math reasoning abilities (N = 138). First-grade assessments included spatial skills, verbal skills, addition/subtraction skills, and frequency of choice of a decomposition or retrieval strategy on the…

  12. Talking Math, Blogging Math

    OpenAIRE

    Mathews, Linda Marie

    2009-01-01

    Talking Math, Blogging Math is a curriculum designed to aid middle school Pre- Algebra students' mathematical problem-solving through the use of academic language instruction, explanatory proofs, and online technology (blogging). Talking Math, Blogging Math was implemented over a period of ten weeks during the 2008 - 2009 school year. The school where the curriculum was implemented is a non-traditional classroom-based charter school. The 7th, 8th and 9th grade students attended class twice a ...

  13. Individualized Learning Through Non-Linear use of Learning Objects: With Examples From Math and Stat

    DEFF Research Database (Denmark)

    Rootzén, Helle

    2015-01-01

    Our aim is to ensure individualized learning that is fun, inspiring and innovative. We believe that when you enjoy, your brain will open up and learning will be easier and more effective. The methods use a non-linear learning environment based on self-contained learning objects which are pieced t...

  14. The Impact of Structured Note Taking Strategies on Math Achievement of Middle School Students

    Science.gov (United States)

    Wilkinson, Gregory Ashley

    2012-01-01

    Student math achievement continues to be a national, state, and local concern. Research suggests that note taking can improve academic achievement, but current research has failed to report how low achievers might benefit from using note taking during math classes. The purpose of this study was to determine if teaching students structured note…

  15. What successful math teachers do, grades 6-12 80 research-based strategies for the common core-aligned classroom

    CERN Document Server

    Posamentier, Alfred S (Steven); Jaye, Daniel I

    2013-01-01

    The math teacher's go-to resource-now updated for the Common Core! What works in math and why has never been the issue; the research is all out there. Where teachers struggle is the "how." That's the big service What Successful Math Teachers Do provides.  It's a powerful portal to what the best research looks like in practice strategy by strategy-now aligned to both the Common Core and the NCTM Standards. For each of the book's 80 strategies, the authors present A brief description A summary of supporting research The corresponding NCTM and Common Core Standards Classroom applications Possible pitfalls Recommended reading and research.

  16. Perfect commuting-operator strategies for linear system games

    Science.gov (United States)

    Cleve, Richard; Liu, Li; Slofstra, William

    2017-01-01

    Linear system games are a generalization of Mermin's magic square game introduced by Cleve and Mittal. They show that perfect strategies for linear system games in the tensor-product model of entanglement correspond to finite-dimensional operator solutions of a certain set of non-commutative equations. We investigate linear system games in the commuting-operator model of entanglement, where Alice and Bob's measurement operators act on a joint Hilbert space, and Alice's operators must commute with Bob's operators. We show that perfect strategies in this model correspond to possibly infinite-dimensional operator solutions of the non-commutative equations. The proof is based around a finitely presented group associated with the linear system which arises from the non-commutative equations.

  17. Number Sense: Strategies for Helping Preschool through Grade 3 Children Develop Math Skills

    Science.gov (United States)

    Witzel, Bradley S.; Ferguson, Christine J.; Mink, Deborah V.

    2012-01-01

    Number sense development in young children has been linked to future math achievement in a manner similar to the way phonological awareness (i.e., children's awareness and use of sounds within a language to make meaning) has been linked to reading achievement (e.g., Kosanovich, Weinstein, & Goldman 2009). That is, they may be indicators of future…

  18. Identifying Maths Anxiety in Student Nurses and Focusing Remedial Work

    Science.gov (United States)

    Bull, Heather

    2009-01-01

    Maths anxiety interferes with maths cognition and thereby increases the risk of maths errors. To initiate strategies for preventing anxiety-related errors progressing into nursing practice, this study explored the hypothesis that student nurses experience high maths anxiety in association with poor maths performance, and that high maths anxiety is…

  19. Barron's SAT math workbook

    CERN Document Server

    Leff MS, Lawrence S

    2016-01-01

    This completely revised edition reflects all of the new questions and question types that will appear on the new SAT, scheduled to be administered in Spring 2016. Includes hundreds of revised math questions and answer explanations, math strategies, test-taking tips, and much more.

  20. GRE math workbook

    CERN Document Server

    Madore, Blair

    2015-01-01

    Reflective of the current GRE, this third edition includes a description of the General Math Exam explaining structure, questions types, and scoring, strategies for problem solving, two full-length math sample sections structured to reflect the actual exam, answers thoroughly explained, and more.

  1. Stability analysis and stabilization strategies for linear supply chains

    Science.gov (United States)

    Nagatani, Takashi; Helbing, Dirk

    2004-04-01

    Due to delays in the adaptation of production or delivery rates, supply chains can be dynamically unstable with respect to perturbations in the consumption rate, which is known as “bull-whip effect”. Here, we study several conceivable production strategies to stabilize supply chains, which is expressed by different specifications of the management function controlling the production speed in dependence of the stock levels. In particular, we will investigate, whether the reaction to stock levels of other producers or suppliers has a stabilizing effect. We will also demonstrate that the anticipation of future stock levels can stabilize the supply system, given the forecast horizon τ is long enough. To show this, we derive linear stability conditions and carry out simulations for different control strategies. The results indicate that the linear stability analysis is a helpful tool for the judgement of the stabilization effect, although unexpected deviations can occur in the non-linear regime. There are also signs of phase transitions and chaotic behavior, but this remains to be investigated more thoroughly in the future.

  2. Addressing Math Anxiety in the Classroom

    Science.gov (United States)

    Finlayson, Maureen

    2014-01-01

    In today's educational systems, students of all levels of education experience math anxiety. Furthermore, math anxiety is frequently linked to poor achievement in mathematics. The purpose of this study is to examine the causes of math anxiety and to explore strategies which pre-service teachers have identified to overcome math anxiety. The…

  3. Non-linear iterative strategy for nem refinement and extension

    International Nuclear Information System (INIS)

    Engrand, P.R.; Maldonado, G.I.; Al-Chalabi, R.; Turinsky, P.J.

    1994-10-01

    The following work is related to the non-linear iterative strategy developed by K. Smith to solve the Nodal Expansion Method (NEM) representation of the neutron diffusion equations. We show how to improve this strategy and how to adapt it to time dependant problems. This work has been done in the NESTLE code, developed at North Carolina State University. When using Smith's strategy, one ends up with a two-node problem which corresponds to a matrix with a fixed structure and a size of 16 x 16 (for a 2 group representation). We show how to reduce this matrix into 2 equivalent systems which sizes are 4 x 4 and 8 x 8. The whole problem needs many of these 2 node problems solution. Therefore the gain in CPU time reaches 45% in the nodal part of the code. To adapt Smith's strategy to time dependent problems, the idea is to get the same structure of the 2 node problem system as in steady-state calculation. To achieve this, one has to approximate the values of the past time-step and of the previous by a second order polynomial and to treat it as a source term. We show here how to make this approximation consistent and accurate. (authors). 1 tab., 2 refs

  4. Flight Software Math Library

    Science.gov (United States)

    McComas, David

    2013-01-01

    The flight software (FSW) math library is a collection of reusable math components that provides typical math utilities required by spacecraft flight software. These utilities are intended to increase flight software quality reusability and maintainability by providing a set of consistent, well-documented, and tested math utilities. This library only has dependencies on ANSI C, so it is easily ported. Prior to this library, each mission typically created its own math utilities using ideas/code from previous missions. Part of the reason for this is that math libraries can be written with different strategies in areas like error handling, parameters orders, naming conventions, etc. Changing the utilities for each mission introduces risks and costs. The obvious risks and costs are that the utilities must be coded and revalidated. The hidden risks and costs arise in miscommunication between engineers. These utilities must be understood by both the flight software engineers and other subsystem engineers (primarily guidance navigation and control). The FSW math library is part of a larger goal to produce a library of reusable Guidance Navigation and Control (GN&C) FSW components. A GN&C FSW library cannot be created unless a standardized math basis is created. This library solves the standardization problem by defining a common feature set and establishing policies for the library s design. This allows the libraries to be maintained with the same strategy used in its initial development, which supports a library of reusable GN&C FSW components. The FSW math library is written for an embedded software environment in C. This places restrictions on the language features that can be used by the library. Another advantage of the FSW math library is that it can be used in the FSW as well as other environments like the GN&C analyst s simulators. This helps communication between the teams because they can use the same utilities with the same feature set and syntax.

  5. Is Math Anxiety Always Bad for Math Learning? The Role of Math Motivation.

    Science.gov (United States)

    Wang, Zhe; Lukowski, Sarah L; Hart, Sara A; Lyons, Ian M; Thompson, Lee A; Kovas, Yulia; Mazzocco, Michèle M M; Plomin, Robert; Petrill, Stephen A

    2015-12-01

    The linear relations between math anxiety and math cognition have been frequently studied. However, the relations between anxiety and performance on complex cognitive tasks have been repeatedly demonstrated to follow a curvilinear fashion. In the current studies, we aimed to address the lack of attention given to the possibility of such complex interplay between emotion and cognition in the math-learning literature by exploring the relations among math anxiety, math motivation, and math cognition. In two samples-young adolescent twins and adult college students-results showed inverted-U relations between math anxiety and math performance in participants with high intrinsic math motivation and modest negative associations between math anxiety and math performance in participants with low intrinsic math motivation. However, this pattern was not observed in tasks assessing participants' nonsymbolic and symbolic number-estimation ability. These findings may help advance the understanding of mathematics-learning processes and provide important insights for treatment programs that target improving mathematics-learning experiences and mathematical skills. © The Author(s) 2015.

  6. PEDAGOGICAL STRATEGIES AND CONTENT KNOWLEDGE IN 92 ENGLISH FOR MATHS LECTURE IN CONTENT-BASED INSTRUCTION TEACHING

    Directory of Open Access Journals (Sweden)

    Ayu Fitrianingsih

    2017-12-01

    Full Text Available This study was intended to find the pedagogical strategies applied by the teacher in the teaching learning process and to know teacher‘s content knowledge, how teacher need to understand the subject matter taught. This study was carried out in English for Math lecture of Mathematics education study program IKIP PGRI Bojonegoro which involved the teacher and the students as the respondent. This study is under qualitative case study. In collecting the data, questionnaire, observation and interview were conducted to get detail information of the issues. The result reveals: 1 the teacher combines some methods such as cooperative learning, problem-based learning and task-based learning to get the students enthusiasm; 2 based on teacher‘s educational background, although the teacher graduated from Bachelor Degree of Mathematics Education but she was able to combine English teaching through mathematics content very well. It can be concluded that Teacher‘s pedagogical strategy and content knowledge is very important in the application of content-based instruction teaching and learning.

  7. Hedge math: Theoretical limits on minimum stockpile size across nuclear hedging strategies

    Energy Technology Data Exchange (ETDEWEB)

    Lafleur, Jarret Marshall [Sandia National Lab. (SNL-CA), Livermore, CA (United States); Roesler, Alexander W. [Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

    2016-09-01

    In June 2013, the Department of Defense published a congressionally mandated, unclassified update on the U.S. Nuclear Employment Strategy. Among the many updates in this document are three key ground rules for guiding the sizing of the non-deployed U.S. nuclear stockpile. Furthermore, these ground rules form an important and objective set of criteria against which potential future stockpile hedging strategies can be evaluated.

  8. An investigation to find strategies to improve student nurses' maths skills.

    Science.gov (United States)

    Wright, Kerri

    Being able to perform drug calculations accurately is an essential skill for nurses. Many studies, however, have demonstrated that nurses need to improve this area of their practice and in particular their mathematical skills. Several strategies have been implemented to develop the drug calculation skills of nurses, with mixed success. This article reports on a study that was carried out to investigate whether strategies implemented within a second-year pre-registration course were perceived by students to be helpful in improving their mathematical skills for drug calculations. The results demonstrated that students felt their mathematics and confidence improved as a result of these strategies. The students' evaluation of the learning strategy that they found most helpful in learning drug calculation gave a mixed result, indicating that students have differing learning styles and needs. The study also indicates that student nurses were able to integrate the mathematical skills into their nursing practice by having different strategies that allowed them to develop conceptual, mathematical and practical skills concurrently. The study recommends the implementation of integrated strategies to address drug calculation skills in student nurses, although further research is still required.

  9. Modern maths

    CERN Multimedia

    Thom,R

    1974-01-01

    Le Prof. R. Thom expose ses vues sur l'enseignement des mathématiques modernes et des mathémathiques de toujours. Il est un grand mathématicien et était professeur à Strasbourg; maintenant il est professeur de hautes études scientifiques et était invité par le Prof. Piaget à Genève

  10. Math Safari.

    Science.gov (United States)

    Nelson, Vaunda; Stanko, Anne

    1992-01-01

    Describes Math Safari, a mathematical, scientific, geographic, informational adventure for fourth grade students. It integrates all curriculum areas and other skills by using information children must find in books to pose math problems about animals. It encourages cooperative learning, critical reading, analysis, and use of research skills. (SM)

  11. Pooling strategies for St Petersburg gamblers

    OpenAIRE

    Csörgö, Sandor; Simons, Gordon

    2006-01-01

    Peter offers to play exactly one St Petersburg game with each of [math] players, Paul [math] , [math] , Paul [math] , whose conceivable pooling strategies are described by all possible probability distributions [math] . Comparing infinite expectations, we characterize among all [math] those admissible strategies for which the pooled winnings, each distributed as [math] , yield a finite added value for each and every one of Paul [math] , [math] , Paul [math] in comparison with their individual...

  12. MATH INSTRUCTIONAL MEDIA DESIGN USING COMPUTER FOR COMPLETION OF TWO-VARIABLES LINEAR EQUATION SYSTEM BY ELIMINATION METHOD

    Directory of Open Access Journals (Sweden)

    Nurbaiti

    2017-03-01

    Full Text Available Science and technology have been rapidly evolved in some fields of knowledge, including mathematics. Such development can contribute to improvements on the learning process that encourage students and teachers to enhance their abilities and performances. In delivering the material on the linear equation system with two variables (SPLDV, the conventional teaching method where teachers become the center of the learning process is still well-practiced. This method would cause the students get bored and have difficulties to understand the concepts they are learning. Therefore, in order to the learning of SPLDV easy, an interesting, interactive media that the students and teachers can apply is necessary. This media is designed using GUI MATLAB and named as students’ electronic worksheets (e-LKS. This program is intended to help students in finding and understanding the SPLDV concepts more easily. This program is also expected to improve students’ motivation and creativity in learning the material. Based on the test using the System Usability Scale (SUS, the design of interactive mathematics learning media of the linear equation system with Two Variables (SPLDV gets grade B (excellent, meaning that this learning media is proper to be used for Junior High School students of grade VIII.

  13. Math Branding in a Community College Library

    Science.gov (United States)

    Brantz, Malcolm; Sadowski, Edward B.

    2010-01-01

    As a strategy to promote the Arapahoe Community College Library's collections and services, the Library undertook to brand itself as a math resource center. In promoting one area of expertise, math was selected to help address the problem of a large portion of high school graduates' inability to work at college-level math. A "Math…

  14. Linear and nonlinear piezoelectric shunting strategies for vibration mitigation

    Directory of Open Access Journals (Sweden)

    Soltani P.

    2014-01-01

    Full Text Available This paper studies linear and nonlinear piezoelectric vibration absorbers that are designed based on the equal-peak method. A comparison between the performance of linear mechanical and electrical tuned vibration absorbers coupled to a linear oscillator is first performed. Nonlinearity is then introduced in the primary oscillator to which a new nonlinear electrical tuned vibration absorber is attached. Despite the frequency-energy dependence of nonlinear oscillations, we show that the nonlinear absorber is capable of effectively mitigating the vibrations of the nonlinear primary system in a large range of forcing amplitudes.

  15. Is Mathematical Anxiety Always Bad for Math Learning: The Role of Math Motivation

    Science.gov (United States)

    Wang, Zhe; Lukowski, Sarah L.; Hart, Sara Ann; Lyons, Ian M.; Thompson, Lee A.; Kovas, Yulia; Mazzocco, Michèle M.; Plomin, Robert; Petrill, Stephen A.

    2015-01-01

    The linear relations between math anxiety and math cognition have been frequently studied. However, the relations between anxiety and performance on complex cognitive tasks have been repeatedly demonstrated to follow a curvilinear fashion. Given the lack of attention to the possibility of such complex interplay between emotion and cognition in the math learning literature, the current study aimed to address this gap via exploring the relations between math anxiety, math motivation, and math cognition. The current study consisted of two samples. One sample included 262 pairs of young adolescent twins and the other included 237 adult college students. Participants self-reported their math anxiety and math motivation. Math cognition was assessed using a comprehensive battery of mathematics tasks. In both samples, results showed inverted-U relations between math anxiety and math performance in students with high intrinsic math motivation, and modest negative associations between math anxiety and math performance in students with low intrinsic math motivation. However, this pattern was not observed in tasks assessing student’s nonsymbolic and symbolic number estimation. These findings may help advance our understanding of mathematics learning processes and may provide important insights for treatment programs that target improving mathematics learning experiences and mathematical skills. PMID:26518438

  16. Math Stuff

    CERN Document Server

    Pappas, Theoni

    2002-01-01

    Whether it's stuff in your kitchen or garden, stuff that powers your car or your body, stuff that helps you work, communicate or play, or stuff that you've never heard of you can bet that mathematics is there. MATH STUFF brings it all in the open in the Pappas style. Not many people think of mathematics as fascinating, exciting and invaluable. Yet Pappas writes about math ideas in such a way that conveys its often overlooked fascination, excitement, and worth. MATH STUFF deals with 38 topics in an non-threatening way that piques our curiosities. Open the book at random, and learn about such to

  17. Culture and math.

    Science.gov (United States)

    Tcheang, Lili

    2014-01-01

    Cultural differences have been shown across a number of different cognitive domains from vision, language, and music. Mathematical cognition is another domain that is an integral part of modern society and because there are a fixed number of ways in which many math operations can be performed, it is also an apposite tool for cultural comparisons. This discussion examines the literature on mathematical processing in accordance with culture, summarizing the brain regions involved across various mathematical tasks. In doing so, we provide a clear picture of the anatomical similarities and differences between cultures when performing different math tasks. This information is useful to explore the possibility of enhancement of mathematical skills, where different strategies may be applicable in accordance with culture. It also contributes to the evolutionary development of different math skills and the growing theory that anatomical and behavioral studies must account for the cultural identity of their sample.

  18. Validation of optimization strategies using the linear structured production chains

    Science.gov (United States)

    Kusiak, Jan; Morkisz, Paweł; Oprocha, Piotr; Pietrucha, Wojciech; Sztangret, Łukasz

    2017-06-01

    Different optimization strategies applied to sequence of several stages of production chains were validated in this paper. Two benchmark problems described by ordinary differential equations (ODEs) were considered. A water tank and a passive CR-RC filter were used as the exemplary objects described by the first and the second order differential equations, respectively. Considered in the work optimization problems serve as the validators of strategies elaborated by the Authors. However, the main goal of research is selection of the best strategy for optimization of two real metallurgical processes which will be investigated in an on-going projects. The first problem will be the oxidizing roasting process of zinc sulphide concentrate where the sulphur from the input concentrate should be eliminated and the minimal concentration of sulphide sulphur in the roasted products has to be achieved. Second problem will be the lead refining process consisting of three stages: roasting to the oxide, oxide reduction to metal and the oxidizing refining. Strategies, which appear the most effective in considered benchmark problems will be candidates for optimization of the mentioned above industrial processes.

  19. The Teachers' Perspectives on Effective Strategies for African American Students Embedded in the GO Math Program

    Science.gov (United States)

    Sumter, Jeremiah, Jr.

    2016-01-01

    Research and history has demonstrated the overwhelming disparity and gap of mathematical achievement between African Americans and their White counterparts. According to the National Assessment of Educational Progress (NAEP), the achievement gap on a national level is prevalent. The USA jurisdiction has Black 8th grade math students results at 12%…

  20. Visual, Algebraic and Mixed Strategies in Visually Presented Linear Programming Problems.

    Science.gov (United States)

    Shama, Gilli; Dreyfus, Tommy

    1994-01-01

    Identified and classified solution strategies of (n=49) 10th-grade students who were presented with linear programming problems in a predominantly visual setting in the form of a computerized game. Visual strategies were developed more frequently than either algebraic or mixed strategies. Appendix includes questionnaires. (Contains 11 references.)…

  1. Power supply and pulsing strategies for the future linear colliders

    International Nuclear Information System (INIS)

    Brogna, A S; Weber, M; Göttlicher, P

    2012-01-01

    The concept of the power delivery systems of the future linear colliders exploits the pulsed bunch structure of the beam in order to minimize the average current in the cables and the electronics and thus to reduce the material budget and heat dissipation. Although modern integrated circuit technologies are already available to design a low-power system, the concepts on how to pulse the front-end electronics and further reduce the power are not yet well understood. We propose a possible implementation of a power pulsing system based on a DC/DC converter and we choose the Analog Hadron Calorimeter as a specific example. The model features large switching currents of electronic modules in short time intervals to stimulate the inductive components along the cables and interconnections.

  2. Talking Maths

    Science.gov (United States)

    Murray, Jenny

    2006-01-01

    Discussion in maths lessons has always been something encouraged by ATM but can be difficult to initiate for non-specialist and inexperienced teachers who may feel they need material in books to get them going. In this article, the author describes resources aimed at encouraging discussion among primary mathematicians. These resources include: (1)…

  3. Penguin Math

    Science.gov (United States)

    Green, Daniel; Kearney, Thomas

    2015-01-01

    Emperor penguins, the largest of all the penguin species, attain heights of nearly four feet and weigh up to 99 pounds. Many students are not motivated to learn mathematics when textbook examples contain largely nonexistent contexts or when the math is not used to solve significant problems found in real life. This article's project explores how…

  4. Tangible Math

    Science.gov (United States)

    Scarlatos, Lori L.

    2006-01-01

    Educators recognize that group work and physical involvement with learning materials can greatly enhance the understanding and retention of difficult concepts. As a result, math manipulatives--such as pattern blocks and number lines--have increasingly been making their way into classrooms and children's museums. Yet without the constant guidance…

  5. Math Problem

    Science.gov (United States)

    Oguntoyinbo, Lekan

    2012-01-01

    Many experts give the nation's schools a poor grade for their approach to teaching mathematics and for their preparation of mathematics teachers. While many policymakers make much of data that suggest children in the United States lag behind many other advanced countries in math, many experts call for a change in mathematics education,…

  6. Working memory, math performance, and math anxiety.

    Science.gov (United States)

    Ashcraft, Mark H; Krause, Jeremy A

    2007-04-01

    The cognitive literature now shows how critically math performance depends on working memory, for any form of arithmetic and math that involves processes beyond simple memory retrieval. The psychometric literature is also very clear on the global consequences of mathematics anxiety. People who are highly math anxious avoid math: They avoid elective coursework in math, both in high school and college, they avoid college majors that emphasize math, and they avoid career paths that involve math. We go beyond these psychometric relationships to examine the cognitive consequences of math anxiety. We show how performance on a standardized math achievement test varies as a function of math anxiety, and that math anxiety compromises the functioning of working memory. High math anxiety works much like a dual task setting: Preoccupation with one's math fears and anxieties functions like a resource-demanding secondary task. We comment on developmental and educational factors related to math and working memory, and on factors that may contribute to the development of math anxiety.

  7. Counseling the Math Anxious

    Science.gov (United States)

    Tobias, Sheila; Donady, Bonnie

    1977-01-01

    Describes the rationale and mode of operations for a Math Clinic at Wellesley University and Wesleyan College where counselors and math specialists work together to combat "math anxiety," particularly in female students. (HMV)

  8. Supporting English Language Learners in Math Class, Grades 6-8

    Science.gov (United States)

    Melanese, Kathy; Chung, Luz; Forbes, Cheryl

    2011-01-01

    This new addition to Math Solutions "Supporting English Language Learners in Math Class series" offers a wealth of lessons and strategies for modifying grades 6-8 instruction. Section I presents an overview of teaching math to English learners: the research, the challenges, the linguistic demands of a math lesson, and specific strategies and…

  9. Optimal Control Strategies in a Two Dimensional Differential Game Using Linear Equation under a Perturbed System

    Directory of Open Access Journals (Sweden)

    Musa Danjuma SHEHU

    2008-06-01

    Full Text Available This paper lays emphasis on formulation of two dimensional differential games via optimal control theory and consideration of control systems whose dynamics is described by a system of Ordinary Differential equation in the form of linear equation under the influence of two controls U(. and V(.. Base on this, strategies were constructed. Hence we determine the optimal strategy for a control say U(. under a perturbation generated by the second control V(. within a given manifold M.

  10. Decreasing Math Anxiety in College Students

    Science.gov (United States)

    Perry, Andrew B.

    2004-01-01

    This paper examines the phenomenon of mathematics anxiety in contemporary college and university students. Forms of math anxiety range from moderate test anxiety to extreme anxiety including physiological symptoms such as nausea. For each of several types of math anxiety, one or more case studies is analyzed. Selected strategies for coping with…

  11. Taking Math Anxiety out of Math Instruction

    Science.gov (United States)

    Shields, Darla J.

    2007-01-01

    To take math anxiety out of math instruction, teachers need to first know how to easily diagnose it in their students and second, how to analyze causes. Results of a recent study revealed that while students believed that their math anxiety was largely related to a lack of mathematical understanding, they often blamed their teachers for causing…

  12. Investigating Validity of Math 105 as Prerequisite to Math 201 among Undergraduate Students, Nigeria

    Science.gov (United States)

    Zakariya, Yusuf F.

    2016-01-01

    In this study, the author examined the validity of MATH 105 as a prerequisite to MATH 201. The data for this study was extracted directly from the examination results logic of the university. Descriptive statistics in form of correlations and linear regressions were used to analyze the obtained data. Three research questions were formulated and…

  13. A Free-Piston Linear Generator Control Strategy for Improving Output Power

    Directory of Open Access Journals (Sweden)

    Chi Zhang

    2018-01-01

    Full Text Available This paper presents a control strategy to improve the output power for a single-cylinder two-stroke free-piston linear generator (FPLG. The comprehensive simulation model of this FPLG is established and the operation principle is introduced. The factors that affect the output power are analyzed theoretically. The characteristics of the piston motion are studied. Considering the different features of the piston motion respectively in acceleration and deceleration phases, a ladder-like electromagnetic force control strategy is proposed. According to the status of the linear electric machine, the reference profile of the electromagnetic force is divided into four ladder-like stages during one motion cycle. The piston motions, especially the dead center errors, are controlled by regulating the profile of the electromagnetic force. The feasibility and advantage of the proposed control strategy are verified through comparison analyses with two conventional control strategies via MatLab/Simulink. The results state that the proposed control strategy can improve the output power by around 7–10% with the same fuel cycle mass.

  14. Response to intervention in math

    CERN Document Server

    Riccomini, Paul J

    2010-01-01

    Boost academic achievement for all students in your mathematics classroom! This timely resource leads the way in applying RTI to mathematics instruction. The authors describe how the three tiers can be implemented in specific math areas and illustrate RTI procedures through case studies. Aligned with the NMAP final report and IES practice guide, this book includes: Intervention strategies for number sense, fractions, problem solving, and more Procedures for teaching math using systematic and explicit instruction for assessment, instructional planning, and evaluation Essential components to con

  15. Self-Regulated Strategy Development Instruction for Teaching Multi-Step Equations to Middle School Students Struggling in Math

    Science.gov (United States)

    Cuenca-Carlino, Yojanna; Freeman-Green, Shaqwana; Stephenson, Grant W.; Hauth, Clara

    2016-01-01

    Six middle school students identified as having a specific learning disability or at risk for mathematical difficulties were taught how to solve multi-step equations by using the self-regulated strategy development (SRSD) model of instruction. A multiple-probe-across-pairs design was used to evaluate instructional effects. Instruction was provided…

  16. Optimal offering and operating strategies for wind-storage systems with linear decision rules

    DEFF Research Database (Denmark)

    Ding, Huajie; Pinson, Pierre; Hu, Zechun

    2016-01-01

    The participation of wind farm-energy storage systems (WF-ESS) in electricity markets calls for an integrated view of day-ahead offering strategies and real-time operation policies. Such an integrated strategy is proposed here by co-optimizing offering at the day-ahead stage and operation policy...... to be used at the balancing stage. Linear decision rules are seen as a natural approach to model and optimize the real-time operation policy. These allow enhancing profits from balancing markets based on updated information on prices and wind power generation. Our integrated strategies for WF...

  17. Short-cut math

    CERN Document Server

    Kelly, Gerard W

    1984-01-01

    Clear, concise compendium of about 150 time-saving math short-cuts features faster, easier ways to add, subtract, multiply, and divide. Each problem includes an explanation of the method. No special math ability needed.

  18. Assessment of combating-desertification strategies using the linear assignment method

    Science.gov (United States)

    Hassan Sadeghravesh, Mohammad; Khosravi, Hassan; Ghasemian, Soudeh

    2016-04-01

    Nowadays desertification, as a global problem, affects many countries in the world, especially developing countries like Iran. With respect to increasing importance of desertification and its complexity, the necessity of attention to the optimal combating-desertification alternatives is essential. Selecting appropriate strategies according to all effective criteria to combat the desertification process can be useful in rehabilitating degraded lands and avoiding degradation in vulnerable fields. This study provides systematic and optimal strategies of combating desertification by use of a group decision-making model. To this end, the preferences of indexes were obtained through using the Delphi model, within the framework of multi-attribute decision making (MADM). Then, priorities of strategies were evaluated by using linear assignment (LA) method. According to the results, the strategies to prevent improper change of land use (A18), development and reclamation of plant cover (A23), and control overcharging of groundwater resources (A31) were identified as the most important strategies for combating desertification in this study area. Therefore, it is suggested that the aforementioned ranking results be considered in projects which control and reduce the effects of desertification and rehabilitate degraded lands.

  19. Parent-child math anxiety and math-gender stereotypes predict adolescents' math education outcomes

    OpenAIRE

    Casad, Bettina J.; Hale, Patricia; Wachs, Faye L.

    2015-01-01

    Two studies examined social determinants of adolescents’ math anxiety including parents’ own math anxiety and children’s endorsement of math-gender stereotypes. In study 1, parent-child dyads were surveyed and the interaction between parent and child math anxiety was examined, with an eye to same- and other-gender dyads. Results indicate that parent’s math anxiety interacts with daughters’ and sons’ anxiety to predict math self-efficacy, GPA, behavioral intentions, math attitudes, and math de...

  20. Advanced Math Equals Career Readiness. Math Works

    Science.gov (United States)

    Achieve, Inc., 2013

    2013-01-01

    The equation is simple: No matter their background, students who take challenging math courses in high school get better jobs and earn more money throughout their entire lives. This paper stresses that: (1) Higher-level math opens doors for any and all postsecondary programs and keeps it open for advancement beyond entry-level jobs; and (2)…

  1. Teaching Math Their Way.

    Science.gov (United States)

    Tankersley, Karen

    1993-01-01

    Teachers at a K-8 urban school in Phoenix, Arizona, worked to develop an effective math program that generated student interest and positive self-esteem. They eventually set aside classroom and large enclosed porch area to house math manipulative lab, where children could learn new concepts at concrete level. Results are excitement about math and…

  2. Solving America's Math Problem

    Science.gov (United States)

    Vigdor, Jacob

    2013-01-01

    Concern about students' math achievement is nothing new, and debates about the mathematical training of the nation's youth date back a century or more. In the early 20th century, American high-school students were starkly divided, with rigorous math courses restricted to a college-bound elite. At midcentury, the "new math" movement sought,…

  3. Chromaticity correction strategy which improves the linear lattice of the TRISTAN e+-e- collider

    International Nuclear Information System (INIS)

    Chin, Yongho.

    1984-08-01

    Described is a strategy of chromaticity correction for large storage rings. Starting with an optimization of the linear lattice in phase advances, based on the W-correction, the sextupole strengths are calculated by the program HARMON. For the TRISTAN e + -e - collider with the mini-β insertion, the correction results show that motions of particles with an initial transverse amplitude of 10 σsub(x,y) and with a synchrotron oscillation amplitude of up to 8 σsub(epsilon) remain stable. (author)

  4. Maths in Prison

    Directory of Open Access Journals (Sweden)

    Catherine Patricia Byrne

    2015-08-01

    Full Text Available I teach maths to all levels in an adult male remand prison in Ireland and am also studying for a PhD in maths in prison education in Dublin Institute of Technology (DIT. This paper describes recent initiatives piloted by maths teachers and school management to increase attendance, engagement and certification in maths. It assesses the effects of the initiatives and looks at future potential in this setting and in others. To set the paper in context, I begin by describing a typical day as a prison maths teacher.

  5. College Math Assessment: SAT Scores vs. College Math Placement Scores

    Science.gov (United States)

    Foley-Peres, Kathleen; Poirier, Dawn

    2008-01-01

    Many colleges and university's use SAT math scores or math placement tests to place students in the appropriate math course. This study compares the use of math placement scores and SAT scores for 188 freshman students. The student's grades and faculty observations were analyzed to determine if the SAT scores and/or college math assessment scores…

  6. Female teachers' math anxiety affects girls' math achievement.

    Science.gov (United States)

    Beilock, Sian L; Gunderson, Elizabeth A; Ramirez, Gerardo; Levine, Susan C

    2010-02-02

    People's fear and anxiety about doing math--over and above actual math ability--can be an impediment to their math achievement. We show that when the math-anxious individuals are female elementary school teachers, their math anxiety carries negative consequences for the math achievement of their female students. Early elementary school teachers in the United States are almost exclusively female (>90%), and we provide evidence that these female teachers' anxieties relate to girls' math achievement via girls' beliefs about who is good at math. First- and second-grade female teachers completed measures of math anxiety. The math achievement of the students in these teachers' classrooms was also assessed. There was no relation between a teacher's math anxiety and her students' math achievement at the beginning of the school year. By the school year's end, however, the more anxious teachers were about math, the more likely girls (but not boys) were to endorse the commonly held stereotype that "boys are good at math, and girls are good at reading" and the lower these girls' math achievement. Indeed, by the end of the school year, girls who endorsed this stereotype had significantly worse math achievement than girls who did not and than boys overall. In early elementary school, where the teachers are almost all female, teachers' math anxiety carries consequences for girls' math achievement by influencing girls' beliefs about who is good at math.

  7. Evaluation of different operating strategies to integrate storage in a linear Fresnel ORC power plant

    Science.gov (United States)

    Zoschke, Theda; Seubert, Bernhard; Fluri, Thomas

    2017-06-01

    An existing linear Fresnel power plant with ORC process located in Ben Guerir, Morocco, is retrofitted with a thermal energy storage system and additional collector loops. Two different plant configurations are investigated in this paper. In the first configuration two separate solar fields are built and only the minor one can charge the storage. In the second configuration, there is only one large solar field which offers more flexibility. Two different control strategies are assessed by comparing simulation results. It shows that the simulations of the systems with two solar fields results in higher energy yields throughout the year, but the power production of the system with one solar field is much more flexible and demand oriented. Also it offers great potential for improvement when it comes to weather forecasting.

  8. Solution strategies for linear and nonlinear instability phenomena for arbitrarily thin shell structures

    International Nuclear Information System (INIS)

    Eckstein, U.; Harte, R.; Kraetzig, W.B.; Wittek, U.

    1983-01-01

    In order to describe nonlinear response and instability behaviour the paper starts with the total potential energy considering the basic kinematic equations of a consistent nonlinear shell theory for large displacements and moderate rotations. The material behaviour is assumed to be hyperelastic and isotropic. The incrementation and discretization of the total potential energy leads to the tangent stiffness relation, which is the central equation of computational algorithms based on combined incremental and iterative techniques. Here a symmetrized form of the RIKS/WEMPNER-algorithm for positive and negative load incrementation represents the basis of the nonlinear solution technique. To detect secondary equilibrium branches at points of neutral equilibrium within nonlinear primary paths a quadratic eigenvalue-problem has to be solved. In order to follow those complicated nonlinear response phenomena the RIKS/WEMPNER incrementation/iteration process is combined with a simultaneous solution of the linearized quadratic eigenvalue-problem. Additionally the essentials of a recently derived family of arbitrarily curved shell elements for linear (LACS) and geometrically nonlinear (NACS) shell problems are presented. The main advantage of these elements is the exact description of all geometric properties as well as the energy-equivalent representation of the applied loads in combination with an efficient algorithm to form the stiffness submatrices. Especially the NACS-elements are designed to improve the accuracy of the solution in the deep postbuckling range including moderate rotations. The derived finite elements and solution strategies are applied to a certain number of typical shell problems to prove the precision of the shell elements and to demonstrate the possibilities of tracing linear and nonlinear bifurcation problems as well as snap-through phenomena with and without secondary bifurcation branches. (orig.)

  9. Maths in Prison

    OpenAIRE

    Catherine Patricia Byrne

    2015-01-01

    I teach maths to all levels in an adult male remand prison in Ireland and am also studying for a PhD in maths in prison education in Dublin Institute of Technology (DIT). This paper describes recent initiatives piloted by maths teachers and school management to increase attendance, engagement and certification in maths. It assesses the effects of the initiatives and looks at future potential in this setting and in others. To set the paper in context, I begin by describing a typical day as a ...

  10. Maths in Prison

    OpenAIRE

    Byrne, Catherine; Carr, Michael

    2015-01-01

    I teach maths to all levels in an adult male remand prison in Ireland and am also studying for a PhD in maths in prison education in Dublin Institute of Technology (DIT). This paper describes recent initiatives piloted by maths teachers and school management to increase attendance, engagement and certification in maths. It assesses the effects of the initiatives and looks at future potential in this setting and in others. To set the paper in context, I begin by describing a typical day as a p...

  11. Getting Manipulative about Math.

    Science.gov (United States)

    Scheer, Janet K.; And Others

    1984-01-01

    Math manipulatives that are made from inexpensive, common items help students understand basic mathematics concepts. Learning activities using Cheerios, jellybeans, and clay as teaching materials are suggested. (DF)

  12. GRE math tests

    CERN Document Server

    Kolby, Jeff

    2014-01-01

    Twenty-three GRE Math Tests! The GRE math section is not easy. There is no quick fix that will allow you to ""beat"" the section. But GRE math is very learnable. If you study hard and master the techniques in this book, your math score will improve--significantly! The GRE cannot be ""beaten."" But it can be mastered--through hard work, analytical thought, and by training yourself to think like a test writer. Many of the problems in this book are designed to prompt you to think like a test writer. For example, you will find ""Duals."" These are pairs of similar problems in which only one prop

  13. A Linear Programming Approach to the Development of Contrail Reduction Strategies Satisfying Operationally Feasible Constraints

    Science.gov (United States)

    Wei, Peng; Sridhar, Banavar; Chen, Neil Yi-Nan; Sun, Dengfent

    2012-01-01

    A class of strategies has been proposed to reduce contrail formation in the United States airspace. A 3D grid based on weather data and the cruising altitude level of aircraft is adjusted to avoid the persistent contrail potential area with the consideration to fuel-efficiency. In this paper, the authors introduce a contrail avoidance strategy on 3D grid by considering additional operationally feasible constraints from an air traffic controller's aspect. First, shifting too many aircraft to the same cruising level will make the miles-in-trail at this level smaller than the safety separation threshold. Furthermore, the high density of aircraft at one cruising level may exceed the workload for the traffic controller. Therefore, in our new model we restrict the number of total aircraft at each level. Second, the aircraft count variation for successive intervals cannot be too drastic since the workload to manage climbing/descending aircraft is much larger than managing cruising aircraft. The contrail reduction is formulated as an integer-programming problem and the problem is shown to have the property of total unimodularity. Solving the corresponding relaxed linear programming with the simplex method provides an optimal and integral solution to the problem. Simulation results are provided to illustrate the methodology.

  14. Dr Math at your service

    CSIR Research Space (South Africa)

    Butgereit, L

    2012-10-01

    Full Text Available In this presentation the author explains how the Dr Math service works; how tutors are recruited to act as Dr Math; and how school pupils can reach Dr Math for help with their mathematics homework....

  15. Parent-child math anxiety and math-gender stereotypes predict adolescents' math education outcomes

    Science.gov (United States)

    Casad, Bettina J.; Hale, Patricia; Wachs, Faye L.

    2015-01-01

    Two studies examined social determinants of adolescents' math anxiety including parents' own math anxiety and children's endorsement of math-gender stereotypes. In Study 1, parent-child dyads were surveyed and the interaction between parent and child math anxiety was examined, with an eye to same- and other-gender dyads. Results indicate that parent's math anxiety interacts with daughters' and sons' anxiety to predict math self-efficacy, GPA, behavioral intentions, math attitudes, and math devaluing. Parents with lower math anxiety showed a positive relationship to children's math outcomes when children also had lower anxiety. The strongest relationships were found with same-gender dyads, particularly Mother-Daughter dyads. Study 2 showed that endorsement of math-gender stereotypes predicts math anxiety (and not vice versa) for performance beliefs and outcomes (self-efficacy and GPA). Further, math anxiety fully mediated the relationship between gender stereotypes and math self-efficacy for girls and boys, and for boys with GPA. These findings address gaps in the literature on the role of parents' math anxiety in the effects of children's math anxiety and math anxiety as a mechanism affecting performance. Results have implications for interventions on parents' math anxiety and dispelling gender stereotypes in math classrooms. PMID:26579000

  16. Parent-Child Math Anxiety and Math-Gender Stereotypes Predict Adolescents’ Math Education Outcomes

    Directory of Open Access Journals (Sweden)

    Bettina J Casad

    2015-11-01

    Full Text Available Two studies examined social determinants of adolescents’ math anxiety including parents’ own math anxiety and children’s endorsement of math-gender stereotypes. In study 1, parent-child dyads were surveyed and the interaction between parent and child math anxiety was examined, with an eye to same- and other-gender dyads. Results indicate that parent’s math anxiety interacts with daughters’ and sons’ anxiety to predict math self-efficacy, GPA, behavioral intentions, math attitudes, and math devaluing. Parents with lower math anxiety showed a positive relationship to children’s math outcomes when children also had lower anxiety. The strongest relationships were found with same-gender dyads, particularly Mother-Daughter dyads. Study 2 showed that endorsement of math-gender stereotypes predicts math anxiety (and not vice versa for performance beliefs and outcomes (self-efficacy and GPA. Further, math anxiety fully mediated the relationship between gender stereotypes and math self-efficacy for girls and for boys, and for boys with GPA. These findings address gaps in the literature on the role of parents’ math anxiety in the effects of children’s math anxiety and math anxiety as a mechanism affecting performance. Results have implications for interventions on parents’ math anxiety and dispelling gender stereotypes in math classrooms.

  17. Parent-child math anxiety and math-gender stereotypes predict adolescents' math education outcomes.

    Science.gov (United States)

    Casad, Bettina J; Hale, Patricia; Wachs, Faye L

    2015-01-01

    Two studies examined social determinants of adolescents' math anxiety including parents' own math anxiety and children's endorsement of math-gender stereotypes. In Study 1, parent-child dyads were surveyed and the interaction between parent and child math anxiety was examined, with an eye to same- and other-gender dyads. Results indicate that parent's math anxiety interacts with daughters' and sons' anxiety to predict math self-efficacy, GPA, behavioral intentions, math attitudes, and math devaluing. Parents with lower math anxiety showed a positive relationship to children's math outcomes when children also had lower anxiety. The strongest relationships were found with same-gender dyads, particularly Mother-Daughter dyads. Study 2 showed that endorsement of math-gender stereotypes predicts math anxiety (and not vice versa) for performance beliefs and outcomes (self-efficacy and GPA). Further, math anxiety fully mediated the relationship between gender stereotypes and math self-efficacy for girls and boys, and for boys with GPA. These findings address gaps in the literature on the role of parents' math anxiety in the effects of children's math anxiety and math anxiety as a mechanism affecting performance. Results have implications for interventions on parents' math anxiety and dispelling gender stereotypes in math classrooms.

  18. The influence of experiencing success in math on math anxiety, perceived math competence, and math performance

    NARCIS (Netherlands)

    Jansen, B.R.J.; Louwerse, J.; Straatemeier, M.; van der Ven, S.H.G.; Klinkenberg, S.; van der Maas, H.L.J.

    2013-01-01

    It was investigated whether children would experience less math anxiety and feel more competent when they, independent of ability level, experienced high success rates in math. Comparable success rates were achieved by adapting problem difficulty to individuals' ability levels with a

  19. String Math 2017

    CERN Document Server

    The series of String-Math conferences has developed into a central event on the interface between mathematics and physics related to string theory, quantum field theory and neighboring subjects. The conference will take place from July 24-28 in the main building of Hamburg university. The String-Math conference is organised by the University of Hamburg jointly with DESY Hamburg.

  20. The Influence of Experiencing Success in Math on Math Anxiety, Perceived Math Competence, and Math Performance

    Science.gov (United States)

    Jansen, Brenda R. J.; Louwerse, Jolien; Straatemeier, Marthe; Van der Ven, Sanne H. G.; Klinkenberg, Sharon; Van der Maas, Han L. J.

    2013-01-01

    It was investigated whether children would experience less math anxiety and feel more competent when they, independent of ability level, experienced high success rates in math. Comparable success rates were achieved by adapting problem difficulty to individuals' ability levels with a computer-adaptive program. A total of 207 children (grades 3-6)…

  1. Motivation and Math Anxiety for Ability Grouped College Math Students

    Science.gov (United States)

    Helming, Luralyn

    2013-01-01

    The author studied how math anxiety, motivation, and ability group interact to affect performance in college math courses. This clarified the effects of math anxiety and ability grouping on performance. It clarified the interrelationships between math anxiety, motivation, and ability grouping by considering them in a single analysis. It introduces…

  2. The Effects of Math Anxiety

    Science.gov (United States)

    Andrews, Amanda; Brown, Jennifer

    2015-01-01

    Math anxiety is a reoccurring problem for many students, and the effects of this anxiety on college students are increasing. The purpose of this study was to examine the association between pre-enrollment math anxiety, standardized test scores, math placement scores, and academic success during freshman math coursework (i.e., pre-algebra, college…

  3. SAT math prep course

    CERN Document Server

    Kolby, Jeff

    2011-01-01

    Comprehensive Prep for SAT Math Every year, students pay 1,000 and more to test prep companies to prepare for the math section of the new SAT. Now you can get the same preparation in a book. Features: * Comprehensive Review: Twenty-three chapters provide complete review of SAT math. * Practice: Includes 164 examples and more than 500 exercises! Arranged from easy to medium to hard to very hard. * Diagnostic Test: The diagnostic test measures your strengths and weaknesses and directs you to areas you need to study more. * Performance: If your target is a 700+ score, this is the book!

  4. More math into Latex

    CERN Document Server

    Grätzer, George

    2007-01-01

    For close to two decades, Math into Latex has been the standard introduction and complete reference for writing articles and books containing mathematical formulas. In this fourth edition, the reader is provided with important updates on articles and books. An important new topic is discussed: transparencies (computer projections). Key features of More Math into Latex, 4th edition: Installation instructions for PC and Mac users; An example-based, visual approach and a gentle introduction with the Short Course; A detailed exposition of multiline math formulas with a Visual Guide; A unified appr

  5. Principals in Partnership with Math Coaches

    Science.gov (United States)

    Grant, Catherine Miles; Davenport, Linda Ruiz

    2009-01-01

    One of the most promising developments in math education is the fact that many districts are hiring math coaches--also called math resource teachers, math facilitators, math lead teachers, or math specialists--to assist elementary-level teachers with math instruction. What must not be lost, however, is that principals play an essential role in…

  6. Quantifying the gantry sag on linear accelerators and introducing an MLC-based compensation strategy

    Energy Technology Data Exchange (ETDEWEB)

    Du Weiliang; Gao Song; Wang Xiaochun; Kudchadker, Rajat J. [Department of Radiation Physics, University of Texas MD Anderson Cancer Center, Houston, Texas 77030 (United States)

    2012-04-15

    Purpose: Gantry sag is one of the well-known sources of mechanical imperfections that compromise the spatial accuracy of radiation dose delivery. The objectives of this study were to quantify the gantry sag on multiple linear accelerators (linacs), to investigate a multileaf collimator (MLC)-based strategy to compensate for gantry sag, and to verify the gantry sag and its compensation with film measurements. Methods: The authors used the Winston-Lutz method to measure gantry sag on three Varian linacs. A ball bearing phantom was imaged with megavolt radiation fields at 10 deg. gantry angle intervals. The images recorded with an electronic portal imaging device were analyzed to derive the radiation isocenter and the gantry sag, that is, the superior-inferior wobble of the radiation field center, as a function of the gantry angle. The authors then attempted to compensate for the gantry sag by applying a gantry angle-specific correction to the MLC leaf positions. The gantry sag and its compensation were independently verified using film measurements. Results: Gantry sag was reproducible over a six-month measurement period. The maximum gantry sag was found to vary from 0.7 to 1.0 mm, depending on the linac and the collimator angle. The radiation field center moved inferiorly (i.e., away from the gantry) when the gantry was rotated from 0 deg. to 180 deg. After the MLC leaf position compensation was applied at 90 deg. collimator angle, the maximum gantry sag was reduced to <0.2 mm. The film measurements at gantry angles of 0 deg. and 180 deg. verified the inferior shift of the radiation fields and the effectiveness of MLC compensation. Conclusions: The results indicate that gantry sag on a linac can be quantitatively measured using a simple phantom and an electronic portal imaging device. Reduction of gantry sag is feasible by applying a gantry angle-specific correction to MLC leaf positions at 90 deg. collimator angle.

  7. A Study of Perceptions of Math Mindset, Math Anxiety, and View of Math by Young Adults

    Science.gov (United States)

    Hocker, Tami

    2017-01-01

    This study's purpose was to determine whether instruction in growth math mindset led to change in perceptions of 18-22-year-old at-risk students in math mindset, math anxiety, and view of math. The experimental curriculum was created by the researcher with the guidance of experts in mathematics and education and focused on the impact of brain…

  8. A descriptive study of high school Latino and Caucasian students' values about math, perceived math achievement and STEM career choice

    Science.gov (United States)

    Rodriguez Flecha, Samuel

    The purpose of this study was to examine high school students' math values, perceived math achievement, and STEM career choice. Participants (N=515) were rural high school students from the U.S. Northwest. Data was collected by administering the "To Do or Not to Do:" STEM pilot survey. Most participants (n=294) were Latinos, followed by Caucasians (n=142). Fifty-three percent of the students rated their math achievement as C or below. Of high math students, 57% were male. Females were 53% of low math students. Caucasians (61%) rated themselves as high in math in a greater proportion than Latinos (39%). Latinos (58%) rated themselves as low in math in a greater proportion than Caucasians (39%). Math Values play a significant role in students' perceived math achievement. Internal math values (r =.68, R2 =.46, p =.001) influenced perceived math achievement regardless of gender (males: r =.70, R2 =.49, p =.001; females: r =.65, R2 =.43, p =.001), for Latinos (r =.66, R2 =.44, p =.001), and Caucasians (r =.72, R2 =.51, p =.001). External math values (r =.53, R2 =.28, p =.001) influenced perceived math achievement regardless of gender (males: r =.54, R2 =.30, p =.001; females: r =.49, R2 =.24, p =.001), for Latinos (r =.47, R2 =.22, p =.001), and Caucasians (r =.58, R2 =.33, p =.001). Most high-math students indicated an awareness of being good at math at around 11 years old. Low-math students said that they realized that math was difficult for them at approximately 13 years of age. The influence of parents, teachers, and peers may vary at different academic stages. Approximately half of the participants said there was not a person who had significantly impacted their career choice; only a minority said their parents and teachers were influencing them to a STEM career. Parents and teachers are the most influential relationships in students' career choice. More exposure to STEM role models and in a variety of professions is needed. Possible strategies to impact students

  9. The "Parrot Math" Attack on Memorization

    Directory of Open Access Journals (Sweden)

    Bill Quirk

    2013-01-01

    Full Text Available Constructivist math educators regularly cite Parrot Math by Thomas C. O'Brien. Although this paper promotes constructivist "activity-based" learning over direct instruction, it's primary claim to fame is the open hostility to memorization. Professor O'Brien rejects "memorization and parrot-like drill " in favor of "children's invented strategies." He references a paper by Kamii and Dominick as evidence of "considerable research" showing that mastery of the standard algorithms of arithmetic is harmful for children. [See The Bogus Research in Kamii and Dominick's Harmful Algorithms Papers

  10. Implementation of Push Recovery Strategy Using Triple Linear Inverted Pendulum Model in “T-FloW” Humanoid Robot

    Science.gov (United States)

    Dimas Pristovani, R.; Raden Sanggar, D.; Dadet, Pramadihanto.

    2018-04-01

    Push recovery is one of humanbehaviorwhich is a strategy to defend the body from anexternal force in any environment. This paper describes push recovery strategy which usesMIMO decoupled control system method. The dynamics system uses aquasi-dynamic system based on triple linear inverted pendulum model (TLIPM). The analysis of TLIPMuses zero moment point (ZMP) calculation from ZMP simplification in last research. By using this simplification of dynamics system, the control design can be simplified into 3 serial SISOwith known and uncertain disturbance models in each inverted pendulum. Each pendulum has different plan to damp the external force effect. In this experiment, PID controller (closed- loop)is used to arrange the damp characteristic.The experiment result shows thatwhen using push recovery control strategy (closed-loop control) is about 85.71% whilewithout using push recovery control strategy (open-loop control) it is about 28.57%.

  11. Math Anxiety and Math Ability in Early Primary School Years

    Science.gov (United States)

    Krinzinger, Helga; Kaufmann, Liane; Willmes, Klaus

    2010-01-01

    Mathematical learning disabilities (MLDs) are often associated with math anxiety, yet until now, very little is known about the causal relations between calculation ability and math anxiety during early primary school years. The main aim of this study was to longitudinally investigate the relationship between calculation ability, self-reported evaluation of mathematics, and math anxiety in 140 primary school children between the end of first grade and the middle of third grade. Structural equation modeling revealed a strong influence of calculation ability and math anxiety on the evaluation of mathematics but no effect of math anxiety on calculation ability or vice versa—contrasting with the frequent clinical reports of math anxiety even in very young MLD children. To summarize, our study is a first step toward a better understanding of the link between math anxiety and math performance in early primary school years performance during typical and atypical courses of development. PMID:20401159

  12. Effects of methylphenidate on acute math performance in children with attention-deficit hyperactivity disorder.

    Science.gov (United States)

    Grizenko, Natalie; Cai, Emmy; Jolicoeur, Claude; Ter-Stepanian, Mariam; Joober, Ridha

    2013-11-01

    Examine the short-term (acute) effects of methylphenidate (MPH) on math performance in children with attention-deficit hyperactivity disorder (ADHD) and what factors predict improvement in math performance. One hundred ninety-eight children with ADHD participated in a double-blind, placebo-controlled, randomized crossover MPH trial. Math response to MPH was determined through administration of math problems adjusted to their academic level during the Restricted Academic Situation Scale (RASS). Student t tests were conducted to assess change in math performance with psychostimulants. Correlation between change on the RASS and change on the math performance was also examined. Linear regression was performed to determine predictor variables. Children with ADHD improved significantly in their math with MPH (P math performance on MPH was highly correlated. A child's age at baseline and Wechsler Individual Achievement Test (WIAT)-Numerical Operations standard scores at baseline accounted for 15% of variances for acute math improvement. MPH improves acute math performance in children with ADHD. Younger children with lower math scores (as assessed by the WIAT) improved most on math scores when given psychostimulants. NCT00483106.

  13. A simplified multi-particle model for lithium ion batteries via a predictor-corrector strategy and quasi-linearization

    International Nuclear Information System (INIS)

    Li, Xiaoyu; Fan, Guodong; Rizzoni, Giorgio; Canova, Marcello; Zhu, Chunbo; Wei, Guo

    2016-01-01

    The design of a simplified yet accurate physics-based battery model enables researchers to accelerate the processes of the battery design, aging analysis and remaining useful life prediction. In order to reduce the computational complexity of the Pseudo Two-Dimensional mathematical model without sacrificing the accuracy, this paper proposes a simplified multi-particle model via a predictor-corrector strategy and quasi-linearization. In this model, a predictor-corrector strategy is used for updating two internal states, especially used for solving the electrolyte concentration approximation to reduce the computational complexity and reserve a high accuracy of the approximation. Quasi-linearization is applied to the approximations of the Butler-Volmer kinetics equation and the pore wall flux distribution to predict the non-uniform electrochemical reaction effects without using any nonlinear iterative solver. Simulation and experimental results show that the isothermal model and the model coupled with thermal behavior are greatly improve the computational efficiency with almost no loss of accuracy. - Highlights: • A simplified multi-particle model with high accuracy and computation efficiency is proposed. • The electrolyte concentration is solved based on a predictor-corrector strategy. • The non-uniform electrochemical reaction is solved based on quasi-linearization. • The model is verified by simulations and experiments at various operating conditions.

  14. Math in Action. Hands-On, Minds-On Math.

    Science.gov (United States)

    Waite-Stupiansky, Sandra; Stupiansky, Nicholas G.

    1998-01-01

    Hands-on math must also involve students' minds in creative thinking. Math manipulatives must be used for uncovering, not just discovering. This paper presents guidelines for planning hands-on, minds-on math for elementary students. Suggestions include dialoging, questioning, integrating manipulatives and other tools, writing, and evaluating. (SM)

  15. An Annotated Math Lab Inventory.

    Science.gov (United States)

    Schussheim, Joan Yares

    1980-01-01

    A listing of mathematics laboratory material is organized as follows: learning kits, tape programs, manipulative learning materials, publications, math games, math lab library, and an alphabetized listing of publishers and/or companies offering materials. (MP)

  16. Business math for dummies

    CERN Document Server

    Sterling, Mary Jane

    2008-01-01

    Now, it is easier than ever before to understand complex mathematical concepts and formulas and how they relate to real-world business situations. All you have to do it apply the handy information you will find in Business Math For Dummies. Featuring practical practice problems to help you expand your skills, this book covers topics like using percents to calculate increases and decreases, applying basic algebra to solve proportions, and working with basic statistics to analyze raw data. Find solutions for finance and payroll applications, including reading financial statements, calculating wages and commissions, and strategic salary planning. Navigate fractions, decimals, and percents in business and real estate transactions, and take fancy math skills to work. You'll be able to read graphs and tables and apply statistics and data analysis. You'll discover ways you can use math in finance and payroll investments, banking and payroll, goods and services, and business facilities and operations. You'll learn ho...

  17. When math hurts: math anxiety predicts pain network activation in anticipation of doing math.

    Directory of Open Access Journals (Sweden)

    Ian M Lyons

    Full Text Available Math can be difficult, and for those with high levels of mathematics-anxiety (HMAs, math is associated with tension, apprehension, and fear. But what underlies the feelings of dread effected by math anxiety? Are HMAs' feelings about math merely psychological epiphenomena, or is their anxiety grounded in simulation of a concrete, visceral sensation - such as pain - about which they have every right to feel anxious? We show that, when anticipating an upcoming math-task, the higher one's math anxiety, the more one increases activity in regions associated with visceral threat detection, and often the experience of pain itself (bilateral dorso-posterior insula. Interestingly, this relation was not seen during math performance, suggesting that it is not that math itself hurts; rather, the anticipation of math is painful. Our data suggest that pain network activation underlies the intuition that simply anticipating a dreaded event can feel painful. These results may also provide a potential neural mechanism to explain why HMAs tend to avoid math and math-related situations, which in turn can bias HMAs away from taking math classes or even entire math-related career paths.

  18. When Math Hurts: Math Anxiety Predicts Pain Network Activation in Anticipation of Doing Math

    Science.gov (United States)

    Lyons, Ian M.; Beilock, Sian L.

    2012-01-01

    Math can be difficult, and for those with high levels of mathematics-anxiety (HMAs), math is associated with tension, apprehension, and fear. But what underlies the feelings of dread effected by math anxiety? Are HMAs’ feelings about math merely psychological epiphenomena, or is their anxiety grounded in simulation of a concrete, visceral sensation – such as pain – about which they have every right to feel anxious? We show that, when anticipating an upcoming math-task, the higher one’s math anxiety, the more one increases activity in regions associated with visceral threat detection, and often the experience of pain itself (bilateral dorso-posterior insula). Interestingly, this relation was not seen during math performance, suggesting that it is not that math itself hurts; rather, the anticipation of math is painful. Our data suggest that pain network activation underlies the intuition that simply anticipating a dreaded event can feel painful. These results may also provide a potential neural mechanism to explain why HMAs tend to avoid math and math-related situations, which in turn can bias HMAs away from taking math classes or even entire math-related career paths. PMID:23118929

  19. When math hurts: math anxiety predicts pain network activation in anticipation of doing math.

    Science.gov (United States)

    Lyons, Ian M; Beilock, Sian L

    2012-01-01

    Math can be difficult, and for those with high levels of mathematics-anxiety (HMAs), math is associated with tension, apprehension, and fear. But what underlies the feelings of dread effected by math anxiety? Are HMAs' feelings about math merely psychological epiphenomena, or is their anxiety grounded in simulation of a concrete, visceral sensation - such as pain - about which they have every right to feel anxious? We show that, when anticipating an upcoming math-task, the higher one's math anxiety, the more one increases activity in regions associated with visceral threat detection, and often the experience of pain itself (bilateral dorso-posterior insula). Interestingly, this relation was not seen during math performance, suggesting that it is not that math itself hurts; rather, the anticipation of math is painful. Our data suggest that pain network activation underlies the intuition that simply anticipating a dreaded event can feel painful. These results may also provide a potential neural mechanism to explain why HMAs tend to avoid math and math-related situations, which in turn can bias HMAs away from taking math classes or even entire math-related career paths.

  20. Does school mobility place elementary school children at risk for lower math achievement? The mediating role of cognitive dysregulation.

    Science.gov (United States)

    Friedman-Krauss, Allison H; Raver, C Cybele

    2015-12-01

    Children growing up in poverty have a higher likelihood of exposure to multiple forms of adversity that jeopardize their chances of academic success. The current paper identifies school mobility, or changing schools, as 1 such poverty-related risk. Using a sample of low-income, predominantly ethnic-minority children (n = 381) in Chicago, this study tests the hypothesis that repeatedly changing schools during the 5-year period between Head Start (preschool) and third grade is a potent predictor of children's math achievement in fourth grade and that children's cognitive dysregulation serves as a mechanism through which school mobility may negatively affect children's math achievement. Hierarchical linear models controlling for baseline child and family characteristics (including children's early math and dysregulation measured during Head Start) revealed an inverse relation between the number of times low-income children changed schools between preschool and third grade and children's math achievement on state standardized tests in fourth grade. Furthermore, frequently changing schools (3 or 4 school changes over the same time period) was positively associated with teacher-reported cognitive dysregulation in third grade and negatively associated with children's math achievement in fourth grade. Evidence for the role of children's cognitive dysregulation as a partial statistical mediator was found for the relation between frequently changing schools and math achievement, even after accounting for baseline risk. Results are discussed in terms of school policies, practices, and intervention strategies to prevent the disruptive and potentially stressful experiences of school mobility for young, low-income children. (c) 2015 APA, all rights reserved).

  1. Does School Mobility Place Elementary School Children at Risk for Lower Math Achievement? The Mediating Role of Cognitive Dysregulation

    Science.gov (United States)

    Friedman-Krauss, Allison H.; Raver, C. Cybele

    2015-01-01

    Children growing up in poverty have a higher likelihood of exposure to multiple forms of adversity that jeopardize their chances of academic success. The current paper identifies school mobility, or changing schools, as 1 such poverty-related risk. Using a sample of low-income, predominantly ethnic-minority children (n = 381) in Chicago, this study tests the hypothesis that repeatedly changing schools during the 5-year period between Head Start (preschool) and third grade is a potent predictor of children’s math achievement in fourth grade and that children’s cognitive dysregulation serves as a mechanism through which school mobility may negatively affect children’s math achievement. Hierarchical linear models controlling for baseline child and family characteristics (including children’s early math and dysregulation measured during Head Start) revealed an inverse relation between the number of times low-income children changed schools between preschool and third grade and children’s math achievement on state standardized tests in fourth grade. Furthermore, frequently changing schools (3 or 4 school changes over the same time period) was positively associated with teacher-reported cognitive dysregulation in third grade and negatively associated with children’s math achievement in fourth grade. Evidence for the role of children’s cognitive dysregulation as a partial statistical mediator was found for the relation between frequently changing schools and math achievement, even after accounting for baseline risk. Results are discussed in terms of school policies, practices, and intervention strategies to prevent the disruptive and potentially stressful experiences of school mobility for young, low-income children. PMID:26436870

  2. Group Activities for Math Enthusiasts

    Science.gov (United States)

    Holdener, J.; Milnikel, R.

    2016-01-01

    In this article we present three group activities designed for math students: a balloon-twisting workshop, a group proof of the irrationality of p, and a game of Math Bingo. These activities have been particularly successful in building enthusiasm for mathematics and camaraderie among math faculty and students at Kenyon College.

  3. Business Math without Tears.

    Science.gov (United States)

    Merchant, Ronald

    1980-01-01

    Describes a new course at Spokane Falls Community College which builds on and reviews basic business math and electronic calculator skills. Material is self-paced and includes work with metrics. Discusses student evaluation of the course and type of equipment used. (CT)

  4. Where's the Math?

    Science.gov (United States)

    Texas Child Care, 2003

    2003-01-01

    Offers examples of materials and activities that promote and guide math-learning opportunities in all areas of the classroom. Materials and activities relate to: (1) art center; (2) science and discovery center; (3) blocks; (4) library and writing centers; (5) music and movement; (6) manipulatives; (7) dramatic play; (8) outdoor play; and (9)…

  5. Understand electrical and electronics maths

    CERN Document Server

    Bishop, Owen

    1993-01-01

    Understand Electrical and Electronics Maths covers elementary maths and the aspects of electronics. The book discusses basic maths including quotients, algebraic fractions, logarithms, types of equations and balancing of equations. The text also describes the main features and functions of graphs and the solutions to simpler types of electronics problems. The book then tackles the applications of polar coordinates in electronics, limits, differentiation and integration, and the applications of maths of rates of change in electronics. The activities of an electronic circuit; techniques of math

  6. Multi-strategy based quantum cost reduction of linear nearest-neighbor quantum circuit

    Science.gov (United States)

    Tan, Ying-ying; Cheng, Xue-yun; Guan, Zhi-jin; Liu, Yang; Ma, Haiying

    2018-03-01

    With the development of reversible and quantum computing, study of reversible and quantum circuits has also developed rapidly. Due to physical constraints, most quantum circuits require quantum gates to interact on adjacent quantum bits. However, many existing quantum circuits nearest-neighbor have large quantum cost. Therefore, how to effectively reduce quantum cost is becoming a popular research topic. In this paper, we proposed multiple optimization strategies to reduce the quantum cost of the circuit, that is, we reduce quantum cost from MCT gates decomposition, nearest neighbor and circuit simplification, respectively. The experimental results show that the proposed strategies can effectively reduce the quantum cost, and the maximum optimization rate is 30.61% compared to the corresponding results.

  7. A Quasi-Dynamic Optimal Control Strategy for Non-Linear Multivariable Processes Based upon Non-Quadratic Objective Functions

    Directory of Open Access Journals (Sweden)

    Jens G. Balchen

    1984-10-01

    Full Text Available The problem of systematic derivation of a quasi-dynamic optimal control strategy for a non-linear dynamic process based upon a non-quadratic objective function is investigated. The wellknown LQG-control algorithm does not lead to an optimal solution when the process disturbances have non-zero mean. The relationships between the proposed control algorithm and LQG-control are presented. The problem of how to constrain process variables by means of 'penalty' - terms in the objective function is dealt with separately.

  8. Metacognitive awareness and math anxiety in gifted students

    Directory of Open Access Journals (Sweden)

    Hakan Sarıcam

    2015-12-01

    Full Text Available The basic purpose of this study has been to examine the relationships between metacognitive awareness and maths anxiety in gifted students. The second aim was to compare with gifted and non-gifted students’ metacognitive awareness and maths anxiety levels. The participants were 300 (150 gifted, 150 non-gifted volunteer secondary school students in Turkey. The mean age of the participants was 12.56 years ranging from 12 to 13 years. For gathering data, the Maths Anxiety Scale for Elementary School Students and The Metacognitive Awareness Inventory for Children were used. For analysing the data, Spearman correlation analysis, the Mann Whitney U test, and linear regression analysis were used. According to the findings: firstly, gifted students’ metacognitive awareness scores were higher than those of non-gifted students. On the other hand, non-gifted students’ maths anxiety levels were higher than those of gifted students. Secondly, there was negative correlation between metacognitive awareness and math anxiety. Finally, the findings of linear regression analysis indicated that metacognitive awareness is explained by 48% total variance of maths anxiety in gifted students.

  9. Linear programming optimization of nuclear energy strategy with sodium-cooled fast reactors

    International Nuclear Information System (INIS)

    Lee, Je Whan; Jeong, Yong Hoon; Chang, Yoon Il; Chang, Soon Heung

    2011-01-01

    Nuclear power has become an essential part of electricity generation to meet the continuous growth of electricity demand. A Sodium-cooled Fast Reactor (SFR) was developed to extend uranium resource utilization under a growing nuclear energy scenario while concomitantly providing a nuclear waste management solution. Key questions in this scenario are when to introduce SFRs and how many reactors should be introduced. In this study, a methodology using Linear Programming is employed in order to quantify an optimized growth pattern of a nuclear energy system comprising light water reactors and SFRs. The optimization involves tradeoffs between SFR capital cost premiums and the total system U3O8 price premiums. Optimum nuclear growth patterns for several scenarios are presented, as well as sensitivity analyses of important input parameters

  10. Strategies and approaches in plasmidome studies—uncovering plasmid diversity disregarding of linear elements?

    Science.gov (United States)

    Dib, Julián R.; Wagenknecht, Martin; Farías, María E.; Meinhardt, Friedhelm

    2015-01-01

    The term plasmid was originally coined for circular, extrachromosomal genetic elements. Today, plasmids are widely recognized not only as important factors facilitating genome restructuring but also as vehicles for the dissemination of beneficial characters within bacterial communities. Plasmid diversity has been uncovered by means of culture-dependent or -independent approaches, such as endogenous or exogenous plasmid isolation as well as PCR-based detection or transposon-aided capture, respectively. High-throughput-sequencing made possible to cover total plasmid populations in a given environment, i.e., the plasmidome, and allowed to address the quality and significance of self-replicating genetic elements. Since such efforts were and still are rather restricted to circular molecules, here we put equal emphasis on the linear plasmids which—despite their frequent occurrence in a large number of bacteria—are largely neglected in prevalent plasmidome conceptions. PMID:26074886

  11. Attentional Bias in Math Anxiety

    Directory of Open Access Journals (Sweden)

    Orly eRubinsten

    2015-10-01

    Full Text Available Cognitive theory from the field of general anxiety suggests that the tendency to display attentional bias toward negative information results in anxiety. Accordingly, the current study aims to investigate whether attentional bias is involved in math anxiety as well (i.e., a persistent negative reaction to math. Twenty seven participants (14 with high levels of math anxiety and 13 with low levels of math anxiety were presented with a novel computerized numerical version of the well established dot probe task. One of 6 types of prime stimuli, either math related or typically neutral, were presented on one side of a computer screen. The prime was preceded by a probe (either one or two asterisks that appeared in either the prime or the opposite location. Participants had to discriminate probe identity (one or two asterisks. Math anxious individuals reacted faster when the probe was at the location of the numerical related stimuli. This suggests the existence of attentional bias in math anxiety. That is, for math anxious individuals, the cognitive system selectively favored the processing of emotionally negative information (i.e., math related words. These findings suggest that attentional bias is linked to unduly intense math anxiety symptoms.

  12. Regression modeling strategies with applications to linear models, logistic and ordinal regression, and survival analysis

    CERN Document Server

    Harrell , Jr , Frank E

    2015-01-01

    This highly anticipated second edition features new chapters and sections, 225 new references, and comprehensive R software. In keeping with the previous edition, this book is about the art and science of data analysis and predictive modeling, which entails choosing and using multiple tools. Instead of presenting isolated techniques, this text emphasizes problem solving strategies that address the many issues arising when developing multivariable models using real data and not standard textbook examples. It includes imputation methods for dealing with missing data effectively, methods for fitting nonlinear relationships and for making the estimation of transformations a formal part of the modeling process, methods for dealing with "too many variables to analyze and not enough observations," and powerful model validation techniques based on the bootstrap.  The reader will gain a keen understanding of predictive accuracy, and the harm of categorizing continuous predictors or outcomes.  This text realistically...

  13. String-math 2012

    CERN Document Server

    Katz, Sheldon; Klemm, Albrecht; Morrison, David R

    2015-01-01

    This volume contains the proceedings of the conference String-Math 2012, which was held July 16-21, 2012, at the Hausdorff Center for Mathematics, Universitat Bonn. This was the second in a series of annual large meetings devoted to the interface of mathematics and string theory. These meetings have rapidly become the flagship conferences in the field. Topics include super Riemann surfaces and their super moduli, generalized moonshine and K3 surfaces, the latest developments in supersymmetric and topological field theory, localization techniques, applications to knot theory, and many more. The contributors include many leaders in the field, such as Sergio Cecotti, Matthias Gaberdiel, Rahul Pandharipande, Albert Schwarz, Anne Taormina, Johannes Walcher, Katrin Wendland, and Edward Witten. This book will be essential reading for researchers and students in this area and for all mathematicians and string theorists who want to update themselves on developments in the math-string interface.

  14. Technical Math For Dummies

    CERN Document Server

    Schoenborn, Barry

    2010-01-01

    Technical Math For Dummies is your one-stop, hands-on guide to acing the math courses you’ll encounter as you work toward getting your degree, certifacation, or�license in the skilled trades. You’ll get easy-to-follow, plain-English guidance on mathematical formulas and methods that professionals use every day in the automotive, health, construction, licensed trades, maintenance, and other trades. You’ll learn how to apply concepts of algebra, geometry, and trigonometry and their formulas related to occupational areas of study. Plus, you’ll find out how to perform basic arithmetic

  15. Contact dynamics math model

    Science.gov (United States)

    Glaese, John R.; Tobbe, Patrick A.

    1986-01-01

    The Space Station Mechanism Test Bed consists of a hydraulically driven, computer controlled six degree of freedom (DOF) motion system with which docking, berthing, and other mechanisms can be evaluated. Measured contact forces and moments are provided to the simulation host computer to enable representation of orbital contact dynamics. This report describes the development of a generalized math model which represents the relative motion between two rigid orbiting vehicles. The model allows motion in six DOF for each body, with no vehicle size limitation. The rotational and translational equations of motion are derived. The method used to transform the forces and moments from the sensor location to the vehicles' centers of mass is also explained. Two math models of docking mechanisms, a simple translational spring and the Remote Manipulator System end effector, are presented along with simulation results. The translational spring model is used in an attempt to verify the simulation with compensated hardware in the loop results.

  16. All Students Need Advanced Mathematics. Math Works

    Science.gov (United States)

    Achieve, Inc., 2013

    2013-01-01

    This fact sheet explains that to thrive in today's world, all students will need to graduate with very strong math skills. That can only mean one thing: advanced math courses are now essential math courses. Highlights of this paper include: (1) Advanced math equals college success; (2) Advanced math equals career opportunity; and (3) Advanced math…

  17. Financial Statement Math

    OpenAIRE

    2007-01-01

    game tool Game Tool Interactive Media Element The purpose of this interactive exercise is to help you understand the math in the income statement and balance sheet., Give the proper mathematical computations in order to correctly prepare the income statement and the balance sheet.The exercise is divided into 3 parts: The income Statement, The Balance Sheet - Assets, The Balance Sheet - Liabilities, GB3050 Financial Reporting and Analysis

  18. MathSci

    OpenAIRE

    De Robbio, Antonella

    1997-01-01

    This paper shows the prestigious mathematics database MathSci, produced by American Mathematical Society (AMS). It is an indexing resource that deals with the whole literature about mathematics. The subject involved in referred to mathematical sciences and others relating such as Statistics, Information science, Operative research and Mathematics Physics. Moreover it indexes sciences related to applied mathematics such as Astronomy, Astrophysics, Biology, Compartmental Sciences, Thermodyn...

  19. Detecting math problem solving strategies: an investigation into the use of retrospective self-reports, latency and fMRI data.

    Science.gov (United States)

    Tenison, Caitlin; Fincham, Jon M; Anderson, John R

    2014-02-01

    This research explores how to determine when mathematical problems are solved by retrieval versus computation strategies. Past research has indicated that verbal reports, solution latencies, and neural imaging all provide imperfect indicators of this distinction. Participants in the current study solved mathematical problems involving two distinct problem types, called 'Pyramid' and 'Formula' problems. Participants were given extensive training solving 3 select Pyramid and 3 select Formula problems. Trained problems were highly practiced, whereas untrained problems were not. The distinction between untrained and trained problems was observed in the data. Untrained problems took longer to solve, more often used procedural strategies and showed a greater activation in the horizontal intraparietal sulcus (HIPS) when compared to trained problems. A classifier fit to the neural distinction between trained-untrained problems successfully predicted training within and between the two problem types. We employed this classifier to generate a prediction of strategy use. By combining evidence from the classifier, problem solving latencies, and retrospective reports, we predicted the strategy used to solve each problem in the scanner and gained unexpected insight into the distinction between different strategies. Copyright © 2013 Elsevier Ltd. All rights reserved.

  20. The role of self-math overlap in understanding math anxiety and the relation between math anxiety and performance.

    Science.gov (United States)

    Necka, Elizabeth A; Sokolowski, H Moriah; Lyons, Ian M

    2015-01-01

    Recent work has demonstrated that math anxiety is more than just the product of poor math skills. Psychosocial factors may play a key role in understanding what it means to be math anxious, and hence may aid in attempts to sever the link between math anxiety and poor math performance. One such factor may be the extent to which individuals integrate math into their sense of self. We adapted a well-established measure of this degree of integration (i.e., self-other overlap) to assess individuals' self-math overlap. This non-verbal single-item measure showed that identifying oneself with math (having higher self-math overlap) was strongly associated with lower math anxiety (r = -0.610). We also expected that having higher self-math overlap would leave one especially susceptible to the threat of poor math performance to the self. We identified two competing hypotheses regarding how this plays out in terms of math anxiety. Those higher in self-math overlap might be more likely to worry about poor math performance, exacerbating the negative relation between math anxiety and math ability. Alternatively, those higher in self-math overlap might exhibit self-serving biases regarding their math ability, which would instead predict a decoupling of the relation between their perceived and actual math ability, and in turn the relation between their math ability and math anxiety. Results clearly favored the latter hypothesis: those higher in self-math overlap exhibited almost no relation between math anxiety and math ability, whereas those lower in self-math overlap showed a strong negative relation between math anxiety and math ability. This was partially explained by greater self-serving biases among those higher in self-math overlap. In sum, these results reveal that the degree to which one integrates math into one's self - self-math overlap - may provide insight into how the pernicious negative relation between math anxiety and math ability may be ameliorated.

  1. The role of self-math overlap in understanding math anxiety and the relation between math anxiety and performance

    Science.gov (United States)

    Necka, Elizabeth A.; Sokolowski, H. Moriah; Lyons, Ian M.

    2015-01-01

    Recent work has demonstrated that math anxiety is more than just the product of poor math skills. Psychosocial factors may play a key role in understanding what it means to be math anxious, and hence may aid in attempts to sever the link between math anxiety and poor math performance. One such factor may be the extent to which individuals integrate math into their sense of self. We adapted a well-established measure of this degree of integration (i.e., self-other overlap) to assess individuals’ self-math overlap. This non-verbal single-item measure showed that identifying oneself with math (having higher self-math overlap) was strongly associated with lower math anxiety (r = -0.610). We also expected that having higher self-math overlap would leave one especially susceptible to the threat of poor math performance to the self. We identified two competing hypotheses regarding how this plays out in terms of math anxiety. Those higher in self-math overlap might be more likely to worry about poor math performance, exacerbating the negative relation between math anxiety and math ability. Alternatively, those higher in self-math overlap might exhibit self-serving biases regarding their math ability, which would instead predict a decoupling of the relation between their perceived and actual math ability, and in turn the relation between their math ability and math anxiety. Results clearly favored the latter hypothesis: those higher in self-math overlap exhibited almost no relation between math anxiety and math ability, whereas those lower in self-math overlap showed a strong negative relation between math anxiety and math ability. This was partially explained by greater self-serving biases among those higher in self-math overlap. In sum, these results reveal that the degree to which one integrates math into one’s self – self-math overlap – may provide insight into how the pernicious negative relation between math anxiety and math ability may be ameliorated. PMID

  2. The role of self-math overlap in understanding math anxiety and the relation between math anxiety and performance

    Directory of Open Access Journals (Sweden)

    Elizabeth A Necka

    2015-10-01

    Full Text Available Recent work has demonstrated that math anxiety is more than just the product of poor math skills. Psychosocial factors may play a key role in understanding what it means to be math anxious, and hence may aid in attempts to sever the link between math anxiety and poor math performance. One such factor may be the extent to which individuals integrate math into their sense of self. We adapted a well-established measure of this degree of integration (i.e., self-other overlap to assess individuals’ self-math overlap. This nonverbal single-item measure showed that identifying oneself with math (having higher self-math overlap was strongly associated with lower math anxiety (r=-.610. We also expected that having higher self-math overlap would leave one especially susceptible to the threat of poor math performance to the self. We identified two competing hypotheses regarding how this plays out in terms of math anxiety. Those higher in self-math overlap might be more likely to worry about poor math performance, exacerbating the negative relation between math anxiety and math ability. Alternatively, those higher in self-math overlap might exhibit self-serving biases regarding their math ability, which would instead predict a decoupling of the relation between their perceived and actual math ability, and in turn the relation between their math ability and math anxiety. Results clearly favored the latter hypothesis: those higher in self-math overlap exhibited almost no relation between math anxiety and math ability, whereas those lower in self-math overlap showed a strong negative relation between math anxiety and math ability. This was partially explained by greater self-serving biases among those higher in self-math overlap. In sum, these results reveal that the degree to which one integrates math into one’s self – self-math overlap – may provide insight into how the pernicious negative relation between math anxiety and math ability may be

  3. Addressing Challenges in Urban Teaching, Learning and Math Using Model-Strategy-Application with Reasoning Approach in Lingustically and Culturally Diverse Classrooms

    Science.gov (United States)

    Wu, Zhonghe; An, Shuhua

    2016-01-01

    This study examined the effects of using the Model-Strategy-Application with Reasoning Approach (MSAR) in teaching and learning mathematics in linguistically and culturally diverse elementary classrooms. Through learning mathematics via the MSAR, students from different language ability groups gained an understanding of mathematics from creating…

  4. Advanced Math: Closing the Equity Gap. Math Works

    Science.gov (United States)

    Achieve, Inc., 2013

    2013-01-01

    Minority and low-income students are less likely to have access to, enroll in and succeed in higher-level math courses in high school than their more advantaged peers. Under these circumstances, higher-level math courses function not as the intellectual and practical boost they should be, but as a filter that screens students out of the pathway to…

  5. Early Math Interest and the Development of Math Skills

    Science.gov (United States)

    Fisher, Paige H.; Dobbs-Oates, Jennifer; Doctoroff, Greta L.; Arnold, David H.

    2012-01-01

    Prior models suggest that math attitudes and ability might strengthen each other over time in a reciprocal fashion (Ma, 1997). The current study investigated the relationship between math interest and skill both concurrently and over time in a preschool sample. Analyses of concurrent relationships indicated that high levels of interest were…

  6. Math Anxiety and Math Ability in Early Primary School Years

    Science.gov (United States)

    Krinzinger, Helga; Kaufmann, Liane; Willmes, Klaus

    2009-01-01

    Mathematical learning disabilities (MLDs) are often associated with math anxiety, yet until now, very little is known about the causal relations between calculation ability and math anxiety during early primary school years. The main aim of this study was to longitudinally investigate the relationship between calculation ability, self-reported…

  7. Math primer for engineers

    CERN Document Server

    Cryer, CW

    2014-01-01

    Mathematics and engineering are inevitably interrelated, and this interaction will steadily increase as the use of mathematical modelling grows. Although mathematicians and engineers often misunderstand one another, their basic approach is quite similar, as is the historical development of their respective disciplines. The purpose of this Math Primer is to provide a brief introduction to those parts of mathematics which are, or could be, useful in engineering, especially bioengineering. The aim is to summarize the ideas covered in each subject area without going into exhaustive detail. Formula

  8. Math Education at a Crossroads

    DEFF Research Database (Denmark)

    Markvorsen, Steen

    With an enrollment of 550 students once a year the first year course Math1 at the Technical University of Denmark is one of the largest courses at university level in Denmark. Since its re-formation 6 years ago a number of interesting valuable assets concerning undergraduate math education...

  9. Math Learning Begins at Home

    Science.gov (United States)

    Eason, Sarah H.; Levine, Susan C.

    2017-01-01

    Children demonstrate gaps in the math knowledge that they possess by the time they begin school, and these gaps have been found to predict long-term outcomes not only in math but also in reading. Consequently, it is important to identify what accounts for these early differences and how they can be addressed to ensure that all children enter…

  10. From Mxit to Dr Math

    CSIR Research Space (South Africa)

    Botha, Adèle

    2013-02-01

    Full Text Available In 2007, Laurie Butgereit, a researcher at the CSIR Meraka Institute, started to use Mxit as a communication channel to tutor her son in mathematics. Her son and a number of his friends logged in, and Dr Math was born. At the inception of Dr Math...

  11. What Math Teachers Need Most

    Science.gov (United States)

    Nelson, Barbara Scott; Sassi, Annette

    2007-01-01

    The combination of new instructional methods and new accountability pressures puts many in a quandary in evaluating math instruction. There is much for principals to learn about how and under what conditions new instructional methods work in math classrooms, how to support teachers as they develop new instructional skills, and how to integrate a…

  12. "Math Anxiety" Explored in Studies

    Science.gov (United States)

    Sparks, Sarah D.

    2011-01-01

    Math problems make more than a few students--and even teachers--sweat, but new brain research is providing insights into the earliest causes of the anxiety so often associated with mathematics. Experts argue that "math anxiety" can bring about widespread, intergenerational discomfort with the subject, which could lead to anything from fewer…

  13. Optimal Bidding Strategy of Generation Companies (GenCos in Energy and Spinning Reserve Markets Using Linear Programming

    Directory of Open Access Journals (Sweden)

    Hassan Barati

    2011-10-01

    Full Text Available In this paper a new bidding strategy become modeling to day-ahead markets. The proposed algorithm is related to the point of view of a generation company (Genco that its end is maximized its benefit as a participant in sale markets of active power and spinning reserve. In this method, hourly forecasted energy price (FEP and forecasted reserve price (FRP is used as a reference to model the possible and probable price strategies of Gencos. A bi-level optimization problem That first level, is used to maximize the individual Genco’s payoffs for obtaining the optimal offered quantity of Gencos. The second one, uses the results of the upper sub-problem and minimizes the consumer’s payment with regard to the technical and network constraints, which leads to the awarded generation of the Gencos. In this paper use of the game theory in exist optimization model. The paper proposes a linear programming approach. A six bus system is employed to illustrate the application of the proposed method and to show its high precision and capabilities.

  14. Contextualizing Developmental Math Content into Introduction to Sociology in Community Colleges

    Science.gov (United States)

    Parker, Stuart; Traver, Amy E.; Cornick, Jonathan

    2018-01-01

    Across community colleges in the United States, most students place into a developmental math course that they never pass. This can leave them without the math skills necessary to make informed decisions in major areas of social life and the college credential required for participation in growing sectors of our economy. One strategy for improving…

  15. Teachers and Counselors: Building Math Confidence in Schools

    Directory of Open Access Journals (Sweden)

    Joseph M. Furner

    2017-08-01

    Full Text Available Mathematics teachers need to take on the role of counselors in addressing the math anxious in today's math classrooms. This paper looks at the impact math anxiety has on the future of young adults in our high-tech society. Teachers and professional school counselors are encouraged to work together to prevent and reduce math anxiety. It is important that all students feel confident in their ability to do mathematics in an age that relies so heavily on problem solving, technology, science, and mathematics. It really is a school's obligation to see that their students value and feel confident in their ability to do math, because ultimately a child's life: all decisions they will make and careers choices may be determined based on their disposition toward mathematics. This paper raises some interesting questions and provides some strategies (See Appendix A for teachers and counselors for addressing the issue of math anxiety while discussing the importance of developing mathematically confident young people for a high-tech world of STEM.

  16. The Influence of Math Anxiety, Math Performance, Worry, and Test Anxiety on the Iowa Gambling Task and Balloon Analogue Risk Task.

    Science.gov (United States)

    Buelow, Melissa T; Barnhart, Wesley R

    2017-01-01

    Multiple studies have shown that performance on behavioral decision-making tasks, such as the Iowa Gambling Task (IGT) and Balloon Analogue Risk Task (BART), is influenced by external factors, such as mood. However, the research regarding the influence of worry is mixed, and no research has examined the effect of math or test anxiety on these tasks. The present study investigated the effects of anxiety (including math anxiety) and math performance on the IGT and BART in a sample of 137 undergraduate students. Math performance and worry were not correlated with performance on the IGT, and no variables were correlated with BART performance. Linear regressions indicated math anxiety, physiological anxiety, social concerns/stress, and test anxiety significantly predicted disadvantageous selections on the IGT during the transition from decision making under ambiguity to decision making under risk. Implications for clinical evaluation of decision making are discussed. © The Author(s) 2015.

  17. The math excellence workshop

    International Nuclear Information System (INIS)

    Lasser, Susan J.S.; Snelsire, Robert W.

    1992-01-01

    This paper describes the first two years of the Clemson University College of Engineering's Math Excellence Workshop, a program administered by Westinghouse Electric Corporation, Savannah River Site, and funded by the Department of Energy. The objective of the program is to prepare minority students for technical/scientific study, with the goal of increasing minority retention in the College of Engineering, Twenty-three African American students, all of whom had been accepted into the College of Engineering Fall 1990 freshman class, took part in the first year of the program. The contract paid for room, board, tuition, fees, books, and supplies for the students to live on campus and take a precalculus math course. In addition, the students attended a special honors workshop designed to prepare them to study technical material effectively. Twenty of the 23 students earned As or Bs in the precalculus class. All participants indicated that they felt confident of their ability to succeed academically at Clemson. At the end of the session, twenty of the students were still planning to major in engineering. The program was repeated the following summer with 24 students from the 1991 freshman class. Twelve of the students earned A's or B's in the precalculus class. (author)

  18. The math excellence workshop

    Energy Technology Data Exchange (ETDEWEB)

    Lasser, Susan J.S.; Snelsire, Robert W [College of Engineering, Clemson University, Clemson, SC (United States)

    1992-07-01

    This paper describes the first two years of the Clemson University College of Engineering's Math Excellence Workshop, a program administered by Westinghouse Electric Corporation, Savannah River Site, and funded by the Department of Energy. The objective of the program is to prepare minority students for technical/scientific study, with the goal of increasing minority retention in the College of Engineering, Twenty-three African American students, all of whom had been accepted into the College of Engineering Fall 1990 freshman class, took part in the first year of the program. The contract paid for room, board, tuition, fees, books, and supplies for the students to live on campus and take a precalculus math course. In addition, the students attended a special honors workshop designed to prepare them to study technical material effectively. Twenty of the 23 students earned As or Bs in the precalculus class. All participants indicated that they felt confident of their ability to succeed academically at Clemson. At the end of the session, twenty of the students were still planning to major in engineering. The program was repeated the following summer with 24 students from the 1991 freshman class. Twelve of the students earned A's or B's in the precalculus class. (author)

  19. The Role of Parental Math Anxiety and Math Attitude in Their Children's Math Achievement

    Science.gov (United States)

    Soni, Akanksha; Kumari, Santha

    2017-01-01

    The present study investigated the antecedents and consequences of children's math anxiety and math attitude. A total of 595 students aged 10 to 15 years (5th to 10th grades) and 1 parent of each (mother or father) participated in the study. The study was conducted in India, with the study sample drawn from schools in South-West Punjab. Math…

  20. Math anxiety and math performance in children: The mediating roles of working memory and math self-concept.

    Science.gov (United States)

    Justicia-Galiano, M José; Martín-Puga, M Eva; Linares, Rocío; Pelegrina, Santiago

    2017-12-01

    Numerous studies, most of them involving adolescents and adults, have evidenced a moderate negative relationship between math anxiety and math performance. There are, however, a limited number of studies that have addressed the mechanisms underlying this relation. This study aimed to investigate the role of two possible mediational mechanisms between math anxiety and math performance. Specifically, we sought to test the simultaneous mediating role of working memory and math self-concept. A total of 167 children aged 8-12 years participated in this study. Children completed a set of questionnaires used to assess math and trait anxiety, math self-concept as well as measures of math fluency and math problem-solving. Teachers were asked to rate each student's math achievement. As measures of working memory, two backward span tasks were administered to the children. A series of multiple mediation analyses were conducted. Results indicated that both mediators (working memory and math self-concept) contributed to explaining the relationship between math anxiety and math achievement. Results suggest that working memory and self-concept could be worth considering when designing interventions aimed at helping students with math anxiety. Longitudinal designs could also be used to better understand the mediational mechanisms that may explain the relationship between math anxiety and math performance. © 2017 The British Psychological Society.

  1. Enhancing Mathematical Communication for Virtual Math Teams

    Science.gov (United States)

    Stahl, Gerry; Çakir, Murat Perit; Weimar, Stephen; Weusijana, Baba Kofi; Ou, Jimmy Xiantong

    2010-01-01

    The Math Forum is an online resource center for pre-algebra, algebra, geometry and pre-calculus. Its Virtual Math Teams (VMT) service provides an integrated web-based environment for small teams of people to discuss math and to work collaboratively on math problems or explore interesting mathematical micro-worlds together. The VMT Project studies…

  2. Helping Students Get Past Math Anxiety

    Science.gov (United States)

    Scarpello, Gary

    2007-01-01

    Math anxiety can begin as early as the fourth grade and peaks in middle school and high school. It can be caused by past classroom experiences, parental influences, and remembering poor past math performance. Math anxiety can cause students to avoid challenging math courses and may limit their career choices. It is important for teachers, parents…

  3. String-Math 2015

    CERN Document Server

    2015-01-01

    Welcome to String-Math 2015 at Sanya. The conference will be opened in December 31, 2015- January 4, 2016. String theory plays a central role in theoretical physics as a candidate for the quantum theory unifying gravity with other interactions. It has profound connections with broad branches of modern mathematics ever since the birth. In the last decades, the prosperous interaction, built upon the joint efforts from both mathematicians and physicists, has given rise to marvelous deep results in supersymmetric gauge theory, topological string, M-theory and duality on the physics side as well as in algebraic geometry, differential geometry, algebraic topology, representation theory and number theory on the mathematics side. The interplay is two-fold. The mathematics has provided powerful tools to fulfill the physical interconnection of ideas and clarify physical structures to understand the nature of string theory. On the other hand, ideas from string theory and quantum field theory have been a source of sign...

  4. Mathe Kompakt fur Dummies

    CERN Document Server

    Zegarelli, Mark

    2015-01-01

    Der schnelle Überblick für Schüler und jeden, den es sonst noch interessiert Müssen Sie sich in der Schule oder im Beruf mit Mathematik beschäftigen und es hapert schon an den Grundlagen? Frei nach dem Motto »Einst gelernt, doch längst vergessen« bereiten oft gerade die einfachen Fragestellungen Probleme. Wie viel Prozent sind das nochmal? Wie war das doch gleich mit der Bruchrechnung und wie berechnet man eigentlich den Flächeninhalt eines Dreiecks? Keine Sorge, Mark Zegarelli erklärt es Ihnen einfach, aber zugleich amüsant, und hilft Ihnen so, Ihre Wissenslücken zu schließen. Damit ist Mathe

  5. A linear concatenation strategy to construct 5'-enriched amplified cDNA libraries using multiple displacement amplification.

    Science.gov (United States)

    Gadkar, Vijay J; Filion, Martin

    2013-06-01

    In various experimental systems, limiting available amounts of RNA may prevent a researcher from performing large-scale analyses of gene transcripts. One way to circumvent this is to 'pre-amplify' the starting RNA/cDNA, so that sufficient amounts are available for any downstream analysis. In the present study, we report the development of a novel protocol for constructing amplified cDNA libraries using the Phi29 DNA polymerase based multiple displacement amplification (MDA) system. Using as little as 200 ng of total RNA, we developed a linear concatenation strategy to make the single-stranded cDNA template amenable for MDA. The concatenation, made possible by the template switching property of the reverse transcriptase enzyme, resulted in the amplified cDNA library with intact 5' ends. MDA generated micrograms of template, allowing large-scale polymerase chain reaction analyses or other large-scale downstream applications. As the amplified cDNA library contains intact 5' ends, it is also compatible with 5' RACE analyses of specific gene transcripts. Empirical validation of this protocol is demonstrated on a highly characterized (tomato) and an uncharacterized (corn gromwell) experimental system.

  6. The relation between math self-concept, test and math anxiety, achievement motivation and math achievement in 12 to 14-year-old typically developing adolescents

    OpenAIRE

    Timmerman, H.L.; Toll, S.W.M.; van Luit, J.E.H.

    2017-01-01

    :This study examines the relation between math self-concept, test and math anxiety, achievement motivation, and math achievement in typically developing 12 to 14-year-old adolescents (N = 108) from a school for secondary education in the Netherlands. Data was obtained using a math speed test, achievement motivation test, and the math experience questionnaire. A significant positive correlation was found between math self-concept and math achievement in all four math domains (measurement, rela...

  7. Math CAMMP: A Constructivist Summer Camp for Teachers and Students

    Science.gov (United States)

    Green, Michael; Piel, John A.

    2012-01-01

    A summer session, math methods course for elementary teachers incorporates 30 hours of instruction that emphasizes (1) developmentally appropriate instructional strategies, (2) hierarchical levels of increasingly abstract manipulatives, (3) ongoing assessment of student learning, (4) integrated thematic instructional modules, (5) team planning and…

  8. Learning Math at Home. Making the Parent Connection! Leader Guide.

    Science.gov (United States)

    Moke, Susan, Ed.; Shermis, Michael, Ed.

    This manual is a resource book for organizers and leaders and parent groups who want to explore specific strategies to use to encourage children to view math as a "user-friendly" subject. The guide contains material necessary to conduct a 1- or 1.5-hour session to help parents see the importance of: showing their children how problem-solving math…

  9. Students as Math Level Designers

    DEFF Research Database (Denmark)

    Jensen, Erik Ottar; Hanghøj, Thorkild; Schoenau-Fog, Henrik

    The short paper presents preliminary findings from a pilot study on how students become motivated through design of learning games in math. The research is carried out in a Danish public school with two classes of 5th graders (N = 42 students). Over the course of two weeks, the students work...... with a design template for a runner game in the Unity 3D game design engine. The students are introduced to the concept of “flow” (Csikszentmihalyi, 1991) as a game design principle and are asked to design levels for a math runner game, which are both engaging as well as a meaningful way of learning math....... In this way, the students are positioned as “math level designers”, which means that they both have to redesign the difficulty of the runner game as well as the difficulty of the mathematical questions and possible answers....

  10. Parents' Beliefs about Children's Math Development and Children's Participation in Math Activities

    OpenAIRE

    Susan Sonnenschein; Claudia Galindo; Shari R. Metzger; Joy A. Thompson; Hui Chih Huang; Heather Lewis

    2012-01-01

    This study explored associations between parents’ beliefs about children’s development and children’s reported math activities at home. Seventy-three parents were interviewed about the frequency of their children’s participation in a broad array of math activities, the importance of children doing math activities at home, how children learn math, parents’ role in their children’s math learning, and parents’ own math skills. Although the sample consisted of African Americans, Chinese, Latino, ...

  11. Math Anxiety Is Related to Some, but Not All, Experiences with Math

    OpenAIRE

    Krystle O'Leary; Cheryll L. Fitzpatrick; Darcy Hallett

    2017-01-01

    Math anxiety has been defined as unpleasant feelings of tension and anxiety that hinder the ability to deal with numbers and math in a variety of situations. Although many studies have looked at situational and demographic factors associated with math anxiety, little research has looked at the self-reported experiences with math that are associated with math anxiety. The present study used a mixed-methods design and surveyed 131 undergraduate students about their experiences with math through...

  12. Universals and Specifics of Math Self-Concept, Math Self-Efficacy, and Math Anxiety across 41 PISA 2003 Participating Countries

    Science.gov (United States)

    Lee, Jihyun

    2009-01-01

    The overarching goal of the present study is to investigate the factorial structure of three closely related constructs: math self-concept, math self-efficacy, and math anxiety. The factorial structure consisting of three factors, each representing math self-concept, math self-efficacy, and math anxiety, is supported in all 41 countries employed…

  13. Attentional bias in math anxiety.

    Science.gov (United States)

    Rubinsten, Orly; Eidlin, Hili; Wohl, Hadas; Akibli, Orly

    2015-01-01

    Cognitive theory from the field of general anxiety suggests that the tendency to display attentional bias toward negative information results in anxiety. Accordingly, the current study aims to investigate whether attentional bias is involved in math anxiety (MA) as well (i.e., a persistent negative reaction to math). Twenty seven participants (14 with high levels of MA and 13 with low levels of MA) were presented with a novel computerized numerical version of the well established dot probe task. One of six types of prime stimuli, either math related or typically neutral, was presented on one side of a computer screen. The prime was preceded by a probe (either one or two asterisks) that appeared in either the prime or the opposite location. Participants had to discriminate probe identity (one or two asterisks). Math anxious individuals reacted faster when the probe was at the location of the numerical related stimuli. This suggests the existence of attentional bias in MA. That is, for math anxious individuals, the cognitive system selectively favored the processing of emotionally negative information (i.e., math related words). These findings suggest that attentional bias is linked to unduly intense MA symptoms.

  14. Intergenerational Effects of Parents' Math Anxiety on Children's Math Achievement and Anxiety.

    Science.gov (United States)

    Maloney, Erin A; Ramirez, Gerardo; Gunderson, Elizabeth A; Levine, Susan C; Beilock, Sian L

    2015-09-01

    A large field study of children in first and second grade explored how parents' anxiety about math relates to their children's math achievement. The goal of the study was to better understand why some students perform worse in math than others. We tested whether parents' math anxiety predicts their children's math achievement across the school year. We found that when parents are more math anxious, their children learn significantly less math over the school year and have more math anxiety by the school year's end-but only if math-anxious parents report providing frequent help with math homework. Notably, when parents reported helping with math homework less often, children's math achievement and attitudes were not related to parents' math anxiety. Parents' math anxiety did not predict children's reading achievement, which suggests that the effects of parents' math anxiety are specific to children's math achievement. These findings provide evidence of a mechanism for intergenerational transmission of low math achievement and high math anxiety. © The Author(s) 2015.

  15. The Effects of the Concrete-Representational-Abstract Integration Strategy on the Ability of Students with Learning Disabilities to Multiply Linear Expressions within Area Problems

    Science.gov (United States)

    Strickland, Tricia K.; Maccini, Paula

    2013-01-01

    We examined the effects of the Concrete-Representational-Abstract Integration strategy on the ability of secondary students with learning disabilities to multiply linear algebraic expressions embedded within contextualized area problems. A multiple-probe design across three participants was used. Results indicated that the integration of the…

  16. The role of self-math overlap in understanding math anxiety and the relation between math anxiety and performance

    OpenAIRE

    Necka, Elizabeth A.; Sokolowski, H. Moriah; Lyons, Ian M.

    2015-01-01

    Recent work has demonstrated that math anxiety is more than just the product of poor math skills. Psychosocial factors may play a key role in understanding what it means to be math anxious, and hence may aid in attempts to sever the link between math anxiety and poor math performance. One such factor may be the extent to which individuals integrate math into their sense of self. We adapted a well-established measure of this degree of integration (i.e., self-other overlap) to assess individual...

  17. Comparing computer adaptive and curriculum-based measures of math in progress monitoring.

    Science.gov (United States)

    Shapiro, Edward S; Dennis, Minyi Shih; Fu, Qiong

    2015-12-01

    The purpose of the study was to compare the use of a Computer Adaptive Test and Curriculum-Based Measurement in the assessment of mathematics. This study also investigated the degree to which slope or rate of change predicted student outcomes on the annual state assessment of mathematics above and beyond scores of single point screening assessments (i.e., the computer adaptive test or the CBM assessment just before the administration of the state assessment). Repeated measurement of mathematics once per month across a 7-month period using a Computer Adaptive Test (STAR-Math) and Curriculum-Based Measurement (CBM, AIMSweb Math Computation, AIMSweb Math Concepts/Applications) was collected for a maximum total of 250 third, fourth, and fifth grade students. Results showed STAR-Math in all 3 grades and AIMSweb Math Concepts/Applications in the third and fifth grades had primarily linear growth patterns in mathematics. AIMSweb Math Computation in all grades and AIMSweb Math Concepts/Applications in Grade 4 had decelerating positive trends. Predictive validity evidence showed the strongest relationships were between STAR-Math and outcomes for third and fourth grade students. The blockwise multiple regression by grade revealed that slopes accounted for only a very small proportion of additional variance above and beyond what was explained by the scores obtained on a single point of assessment just prior to the administration of the state assessment. (c) 2015 APA, all rights reserved).

  18. The Math-Biology Values Instrument: Development of a Tool to Measure Life Science Majors' Task Values of Using Math in the Context of Biology.

    Science.gov (United States)

    Andrews, Sarah E; Runyon, Christopher; Aikens, Melissa L

    2017-01-01

    In response to calls to improve the quantitative training of undergraduate biology students, there have been increased efforts to better integrate math into biology curricula. One challenge of such efforts is negative student attitudes toward math, which are thought to be particularly prevalent among biology students. According to theory, students' personal values toward using math in a biological context will influence their achievement and behavioral outcomes, but a validated instrument is needed to determine this empirically. We developed the Math-Biology Values Instrument (MBVI), an 11-item college-level self--report instrument grounded in expectancy-value theory, to measure life science students' interest in using math to understand biology, the perceived usefulness of math to their life science career, and the cost of using math in biology courses. We used a process that integrates multiple forms of validity evidence to show that scores from the MBVI can be used as a valid measure of a student's value of math in the context of biology. The MBVI can be used by instructors and researchers to help identify instructional strategies that influence math-biology values and understand how math-biology values are related to students' achievement and decisions to pursue more advanced quantitative-based courses. © 2017 S. E. Andrews et al. CBE—Life Sciences Education © 2017 The American Society for Cell Biology. This article is distributed by The American Society for Cell Biology under license from the author(s). It is available to the public under an Attribution–Noncommercial–Share Alike 3.0 Unported Creative Commons License (http://creativecommons.org/licenses/by-nc-sa/3.0).

  19. Linear algebra done right

    CERN Document Server

    Axler, Sheldon

    2015-01-01

    This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the ...

  20. When approximate number acuity predicts math performance: The moderating role of math anxiety

    Science.gov (United States)

    Libertus, Melissa E.

    2018-01-01

    Separate lines of research suggest that people who are better at estimating numerical quantities using the approximate number system (ANS) have better math performance, and that people with high levels of math anxiety have worse math performance. Only a handful of studies have examined both ANS acuity and math anxiety in the same participants and those studies report contradictory results. To address these inconsistencies, in the current study 87 undergraduate students completed assessments of ANS acuity, math anxiety, and three different measures of math. We considered moderation models to examine the interplay of ANS acuity and math anxiety on different aspects of math performance. Math anxiety and ANS acuity were both unique significant predictors of the ability to automatically recall basic number facts. ANS acuity was also a unique significant predictor of the ability to solve applied math problems, and this relation was further qualified by a significant interaction with math anxiety: the positive association between ANS acuity and applied problem solving was only present in students with high math anxiety. Our findings suggest that ANS acuity and math anxiety are differentially related to various aspects of math and should be considered together when examining their respective influences on math ability. Our findings also raise the possibility that good ANS acuity serves as a protective factor for highly math-anxious students on certain types of math assessments. PMID:29718939

  1. Measurement of math beliefs and their associations with math behaviors in college students.

    Science.gov (United States)

    Hendy, Helen M; Schorschinsky, Nancy; Wade, Barbara

    2014-12-01

    Our purpose in the present study was to expand understanding of math beliefs in college students by developing 3 new psychometrically tested scales as guided by expectancy-value theory, self-efficacy theory, and health belief model. Additionally, we identified which math beliefs (and which theory) best explained variance in math behaviors and performance by college students and which students were most likely to have problematic math beliefs. Study participants included 368 college math students who completed questionnaires to report math behaviors (attending class, doing homework, reading textbooks, asking for help) and used a 5-point rating scale to indicate a variety of math beliefs. For a subset of 84 students, math professors provided final math grades. Factor analyses produced a 10-item Math Value Scale with 2 subscales (Class Devaluation, No Future Value), a 7-item single-dimension Math Confidence Scale, and an 11-item Math Barriers Scale with 2 subscales (Math Anxiety, Discouraging Words). Hierarchical multiple regression revealed that high levels of the newly discovered class devaluation belief (guided by expectancy-value theory) were most consistently associated with poor math behaviors in college students, with high math anxiety (guided by health belief model) and low math confidence (guided by self-efficacy theory) also found to be significant. Analyses of covariance revealed that younger and male students were at increased risk for class devaluation and older students were at increased risk for poor math confidence. (c) 2014 APA, all rights reserved.

  2. When approximate number acuity predicts math performance: The moderating role of math anxiety.

    Science.gov (United States)

    Braham, Emily J; Libertus, Melissa E

    2018-01-01

    Separate lines of research suggest that people who are better at estimating numerical quantities using the approximate number system (ANS) have better math performance, and that people with high levels of math anxiety have worse math performance. Only a handful of studies have examined both ANS acuity and math anxiety in the same participants and those studies report contradictory results. To address these inconsistencies, in the current study 87 undergraduate students completed assessments of ANS acuity, math anxiety, and three different measures of math. We considered moderation models to examine the interplay of ANS acuity and math anxiety on different aspects of math performance. Math anxiety and ANS acuity were both unique significant predictors of the ability to automatically recall basic number facts. ANS acuity was also a unique significant predictor of the ability to solve applied math problems, and this relation was further qualified by a significant interaction with math anxiety: the positive association between ANS acuity and applied problem solving was only present in students with high math anxiety. Our findings suggest that ANS acuity and math anxiety are differentially related to various aspects of math and should be considered together when examining their respective influences on math ability. Our findings also raise the possibility that good ANS acuity serves as a protective factor for highly math-anxious students on certain types of math assessments.

  3. When approximate number acuity predicts math performance: The moderating role of math anxiety.

    Directory of Open Access Journals (Sweden)

    Emily J Braham

    Full Text Available Separate lines of research suggest that people who are better at estimating numerical quantities using the approximate number system (ANS have better math performance, and that people with high levels of math anxiety have worse math performance. Only a handful of studies have examined both ANS acuity and math anxiety in the same participants and those studies report contradictory results. To address these inconsistencies, in the current study 87 undergraduate students completed assessments of ANS acuity, math anxiety, and three different measures of math. We considered moderation models to examine the interplay of ANS acuity and math anxiety on different aspects of math performance. Math anxiety and ANS acuity were both unique significant predictors of the ability to automatically recall basic number facts. ANS acuity was also a unique significant predictor of the ability to solve applied math problems, and this relation was further qualified by a significant interaction with math anxiety: the positive association between ANS acuity and applied problem solving was only present in students with high math anxiety. Our findings suggest that ANS acuity and math anxiety are differentially related to various aspects of math and should be considered together when examining their respective influences on math ability. Our findings also raise the possibility that good ANS acuity serves as a protective factor for highly math-anxious students on certain types of math assessments.

  4. A Motivational Technique for Business Math

    Science.gov (United States)

    Voelker, Pamela

    1977-01-01

    The author suggests the use of simulation and role playing as a method of motivating students in business math. Examples of career-oriented business math simulation games are counting change, banking, payrolls, selling, and shopping. (MF)

  5. Math Anxiety, Working Memory, and Math Achievement in Early Elementary School

    Science.gov (United States)

    Ramirez, Gerardo; Gunderson, Elizabeth A.; Levine, Susan C.; Beilock, Sian L.

    2013-01-01

    Although math anxiety is associated with poor mathematical knowledge and low course grades (Ashcraft & Krause, 2007), research establishing a connection between math anxiety and math achievement has generally been conducted with young adults, ignoring the emergence of math anxiety in young children. In the current study, we explored whether…

  6. A Latent Profile Analysis of Math Achievement, Numerosity, and Math Anxiety in Twins

    Science.gov (United States)

    Hart, Sara A.; Logan, Jessica A. R.; Thompson, Lee; Kovas, Yulia; McLoughlin, Gráinne; Petrill, Stephen A.

    2016-01-01

    Underperformance in math is a problem with increasing prevalence, complex etiology, and severe repercussions. This study examined the etiological heterogeneity of math performance in a sample of 264 pairs of 12-year-old twins assessed on measures of math achievement, numerosity, and math anxiety. Latent profile analysis indicated 5 groupings of…

  7. Reciprocal Relations among Motivational Frameworks, Math Anxiety, and Math Achievement in Early Elementary School

    Science.gov (United States)

    Gunderson, Elizabeth A.; Park, Daeun; Maloney, Erin A.; Beilock, Sian L.; Levine, Susan C.

    2018-01-01

    School-entry math achievement is a strong predictor of math achievement through high school. We asked whether reciprocal relations among math achievement, math anxiety, and entity motivational frameworks (believing that ability is fixed and a focus on performance) can help explain these persistent individual differences. We assessed 1st and 2nd…

  8. Math word problems for dummies

    CERN Document Server

    Sterling, Mary Jane

    2008-01-01

    Covers percentages, probability, proportions, and moreGet a grip on all types of word problems by applying them to real lifeAre you mystified by math word problems? This easy-to-understand guide shows you how to conquer these tricky questions with a step-by-step plan for finding the right solution each and every time, no matter the kind or level of problem. From learning math lingo and performing operations to calculating formulas and writing equations, you''ll get all the skills you need to succeed!Discover how to: * Translate word problems into plain English* Brush up on basic math skills* Plug in the right operation or formula* Tackle algebraic and geometric problems* Check your answers to see if they work

  9. Assessing the Effectiveness of a Learning Community Course Design to Improve the Math Performance of First-Year Students

    Science.gov (United States)

    Hansen, Michele J.; Meshulam, Susan; Parker, Brooke

    2013-01-01

    National attention is focused on the persistent high failure rates for students enrolled in math courses, and the search for strategies to change these outcomes is on. This study used a mixed-method research design to assess the effectiveness of a learning community course designed to improve the math performance levels of firstyear students.…

  10. The Effects of the Elevate Math Summer Program on Math Achievement and Algebra Readiness. REL 2015-096

    Science.gov (United States)

    Snipes, Jason; Huang, Chun-Wei; Jaquet, Karina; Finkelstein, Neal

    2015-01-01

    The Effects of the Elevate Math summer program on math achievement and algebra readiness: This randomized trial examined the effects of the Elevate Math summer program on math achievement and algebra readiness, as well as math interest and self-efficacy, among rising 8th grade students in California's Silicon Valley. The Elevate Math summer math…

  11. Saxon Math. What Works Clearinghouse Intervention Report

    Science.gov (United States)

    What Works Clearinghouse, 2017

    2017-01-01

    "Saxon Math" is a curriculum for students in grades K-12. The amount of new math content students receive each day is limited and students practice concepts every day. New concepts are developed, reviewed, and practiced cumulatively rather than in discrete chapters or units. This review focuses on studies of "Saxon Math"'s…

  12. Math Game(s) - an alternative (approach) to teaching math?

    NARCIS (Netherlands)

    Ruttkay, Z.M.; Eliens, A.P.W.; Breitlauch, L.

    2009-01-01

    Getting students to read, digest and practice material is difficult in any discipline, but even more so for math, since many students have to cope with motivational problems and feelings of inadequacy, often due to prior unsuccesful training and teaching methods. In this paper we look at the

  13. Taking Math Outside of the Classroom: Math in the City

    Science.gov (United States)

    Radu, Petronela

    2013-01-01

    Math in the City is an interdisciplinary mathematics course offered at University of Nebraska-Lincoln in which students engage in a real-world experience to understand current major societal issues of local and national interest. The course is run in collaboration with local businesses, research centers, and government organizations, that provide…

  14. Americans Need Advanced Math to Stay Globally Competitive. Math Works

    Science.gov (United States)

    Achieve, Inc., 2013

    2013-01-01

    No student who hopes to compete in today's rapidly evolving global economy and job market can afford to graduate from high school with weak mathematical skills, which include the ability to use logic, reason, and solve problems. The benefits associated with improving the math performance of American students also extend to the larger U.S. economy.…

  15. The efficacy of laparoscopic intracorporeal linear suture technique as a strategy for reducing recurrences in pediatric inguinal hernia.

    Science.gov (United States)

    Lee, S R; Choi, S B

    2017-06-01

    Pediatric laparoscopic herniorrhaphy has rare complications, but recurrence might occur. The purpose of this manuscript is to evaluate the efficacy of linear suture technique of laparoscopic pediatric herniorrhaphy in reducing recurrences. Laparoscopic surgery was performed on 2223 pediatric patients (under 10 years old) from September 2012 to December 2014 in Damsoyu Hospital, Seoul, Republic of Korea. The causes of recurrence were investigated case by case. The patients were categorized into two groups according to the suture method used in closing the hernia orifice: Group 1 (purse-string suture, 1009 patients) and Group 2 (linear suture, 1214 patients). There were 1413 (63.6%) male and 810 (36.4%) female patients. Mean age was 30.5 ± 29.2 months. A significantly higher proportion of male patients, contralateral patent processus vaginalis, and less proportion of recurrence were observed in Group 2. There were ten cases of recurrence in Group 1 because the internal ring suture could not endure the tension. One recurrence occurred in Group 2. The suture technique and age were found to be a significant risk factor for recurrence. Linear suture technique had a lower recurrence rate (odds ratio = 0.07, with 95% confidence interval 0.01-0.53, and p = 0.004). Purse-string suture technique causes significantly higher occurrence of hernia recurrences than linear suture technique. Linear suture technique can reduce recurrence by increasing the endurance to tension around the internal ring by distributing pressure to a wider area along the linear suture line. Linear suture technique can effectively reduce recurrence in pediatric inguinal herniorrhaphy.

  16. Understanding the Home Math Environment and Its Role in Predicting Parent Report of Children's Math Skills.

    Science.gov (United States)

    Hart, Sara A; Ganley, Colleen M; Purpura, David J

    2016-01-01

    There is a growing literature concerning the role of the home math environment in children's math development. In this study, we examined the relation between these constructs by specifically addressing three goals. The first goal was to identify the measurement structure of the home math environment through a series of confirmatory factor analyses. The second goal was to examine the role of the home math environment in predicting parent report of children's math skills. The third goal was to test a series of potential alternative explanations for the relation between the home math environment and parent report of children's skills, specifically the direct and indirect role of household income, parent math anxiety, and parent math ability as measured by their approximate number system performance. A final sample of 339 parents of children aged 3 through 8 drawn from Mechanical Turk answered a questionnaire online. The best fitting model of the home math environment was a bifactor model with a general factor representing the general home math environment, and three specific factors representing the direct numeracy environment, the indirect numeracy environment, and the spatial environment. When examining the association of the home math environment factors to parent report of child skills, the general home math environment factor and the spatial environment were the only significant predictors. Parents who reported doing more general math activities in the home reported having children with higher math skills, whereas parents who reported doing more spatial activities reported having children with lower math skills.

  17. Understanding the Home Math Environment and Its Role in Predicting Parent Report of Children's Math Skills.

    Directory of Open Access Journals (Sweden)

    Sara A Hart

    Full Text Available There is a growing literature concerning the role of the home math environment in children's math development. In this study, we examined the relation between these constructs by specifically addressing three goals. The first goal was to identify the measurement structure of the home math environment through a series of confirmatory factor analyses. The second goal was to examine the role of the home math environment in predicting parent report of children's math skills. The third goal was to test a series of potential alternative explanations for the relation between the home math environment and parent report of children's skills, specifically the direct and indirect role of household income, parent math anxiety, and parent math ability as measured by their approximate number system performance. A final sample of 339 parents of children aged 3 through 8 drawn from Mechanical Turk answered a questionnaire online. The best fitting model of the home math environment was a bifactor model with a general factor representing the general home math environment, and three specific factors representing the direct numeracy environment, the indirect numeracy environment, and the spatial environment. When examining the association of the home math environment factors to parent report of child skills, the general home math environment factor and the spatial environment were the only significant predictors. Parents who reported doing more general math activities in the home reported having children with higher math skills, whereas parents who reported doing more spatial activities reported having children with lower math skills.

  18. All you need in Maths!

    NARCIS (Netherlands)

    van de Craats, J.; Bosch, R.

    2014-01-01

    All You Need in Maths! covers the basic mathematics you need to successfully embark on a university or college career in technology, natural sciences, computer and information science, economics, business and management studies, and related disciplines. By basic mathematics we mean elementary

  19. Meeting a Math Achievement Crisis

    Science.gov (United States)

    Jennings, Lenora; Likis, Lori

    2005-01-01

    An urban community spotlighted declining mathematics achievement and took some measures, in which the students' performance increased substantially. The Benjamin Banneker Charter Public School in Cambridge, Massachusetts, engaged the entire community and launched the campaign called "Math Everywhere", which changed Benjamin Banneker's…

  20. Teaching Math to the Talented

    Science.gov (United States)

    Hanushek, Eric A.; Peterson, Paul E.; Woessmann, Ludger

    2011-01-01

    Maintaining America's productivity as a nation depends importantly on developing a highly qualified cadre of scientists, engineers, entrepreneurs, and other professionals. To realize that objective requires a system of schooling that produces students with advanced math and science skills. To see how well schools in the United States do at…

  1. Big Math for Little Kids

    Science.gov (United States)

    Greenes, Carole; Ginsburg, Herbert P.; Balfanz, Robert

    2004-01-01

    "Big Math for Little Kids," a comprehensive program for 4- and 5-year-olds, develops and expands on the mathematics that children know and are capable of doing. The program uses activities and stories to develop ideas about number, shape, pattern, logical reasoning, measurement, operations on numbers, and space. The activities introduce the…

  2. Basic Maths Practice Problems For Dummies

    CERN Document Server

    Beveridge, Colin

    2012-01-01

    Fun, friendly coaching and all the practice you need to tackle maths problems with confidence and ease In his popular Basic Maths For Dummies, professional maths tutor Colin Beveridge proved that he could turn anyone - even the most maths-phobic person - into a natural-born number cruncher. In this book he supplies more of his unique brand of maths-made- easy coaching, plus 2,000 practice problems to help you master what you learn. Whether you're prepping for a numeracy test or an employability exam, thinking of returning to school, or you'd just like to be one of those know-it-alls who says

  3. Training in Influencing Skills from Neuro-Linguistic Programming (Modelled from Hypnosis and Family Therapy), in Combination with Innovative Maths Pedagogy, Raises Maths Attainment in Adult Numeracy Learners

    Science.gov (United States)

    Allan, F.; Bourne, J.; Bouch, D.; Churches, R.; Dennison, J.; Evans, J.; Fowler, J.; Jeffers, A.; Prior, E.; Rhodes, L.

    2012-01-01

    Case study research suggests that NLP [neuro-linguistic programming] influencing strategies benefit teacher effectiveness. Maths pedagogy involving higher-order questioning, challenge, problem solving and collaborative working may be a way of improving attainment in adult numeracy learning, however, such strategies may be less effective if the…

  4. A ligand exchange strategy for one-pot sequential synthesis of (hyperbranched polyethylene)-b-(linear polyketone) block polymers.

    Science.gov (United States)

    Zhang, Zhichao; Ye, Zhibin

    2012-08-18

    Upon the addition of an equimolar amount of 2,2'-bipyridine, a cationic Pd-diimine complex capable of facilitating "living" ethylene polymerization is switched to catalyze "living" alternating copolymerization of 4-tertbutylstyrene and CO. This unique chemistry is thus employed to synthesize a range of well-defined treelike (hyperbranched polyethylene)-b-(linear polyketone) block polymers.

  5. Three brief assessments of math achievement.

    Science.gov (United States)

    Steiner, Eric T; Ashcraft, Mark H

    2012-12-01

    Because of wide disparities in college students' math knowledge-that is, their math achievement-studies of cognitive processing in math tasks also need to assess their individual level of math achievement. For many research settings, however, using existing math achievement tests is either too costly or too time consuming. To solve this dilemma, we present three brief tests of math achievement here, two drawn from the Wide Range Achievement Test and one composed of noncopyrighted items. All three correlated substantially with the full achievement test and with math anxiety, our original focus, and all show acceptable to excellent reliability. When lengthy testing is not feasible, one of these brief tests can be substituted.

  6. Math for computer applications

    CERN Document Server

    REA, The Editors of

    2013-01-01

    REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Topics include logic, set theory, relations and functions, vectors and matrices, graph theory, counting and binomial theorem, probability, Boolean algebra, and linear programming and

  7. Affective and Motivational Factors Mediate the Relation between Math Skills and Use of Math in Everyday Life

    Science.gov (United States)

    Jansen, Brenda R. J.; Schmitz, Eva A.; van der Maas, Han L. J.

    2016-01-01

    This study focused on the use of math in everyday life (the propensity to recognize and solve quantitative issues in real life situations). Data from a Dutch nation-wide research on math among adults (N = 521) were used to investigate the question whether math anxiety and perceived math competence mediated the relationship between math skills and use of math in everyday life, taken gender differences into account. Results showed that women reported higher math anxiety, lower perceived math competence, and lower use of math in everyday life, compared to men. Women's skills were estimated at a lower level than men's. For both women and men, higher skills were associated with higher perceived math competence, which in turn was associated with more use of math in everyday life. Only for women, math anxiety also mediated the relation between math skills and use of math in everyday life. PMID:27148122

  8. Affective and motivational factors mediate the relation between math skills and use of math in everyday life

    Directory of Open Access Journals (Sweden)

    Brenda RJ Jansen

    2016-04-01

    Full Text Available This study focused on the use of math in everyday life (the propensity to recognize and solve quantitative issues in real life situations. Data from a Dutch nation-wide research on math among adults (N = 521 were used to investigate the question whether math anxiety and perceived math competence mediated the relationship between math skills and use of math in everyday life, taken gender differences into account. Results showed that women reported higher math anxiety, lower perceived math competence, and lower use of math in everyday life, compared to men. Women's skills were estimated at a lower level than men's. For both women and men, higher skills were associated with higher perceived math competence, which in turn was associated with more use of math in everyday life. Only for women, math anxiety also mediated the relation between math skills and use of math in everyday life.

  9. Transforming wealth: using the inverse hyperbolic sine (IHS) and splines to predict youth's math achievement.

    Science.gov (United States)

    Friedline, Terri; Masa, Rainier D; Chowa, Gina A N

    2015-01-01

    The natural log and categorical transformations commonly applied to wealth for meeting the statistical assumptions of research may not always be appropriate for adjusting for skewness given wealth's unique properties. Finding and applying appropriate transformations is becoming increasingly important as researchers consider wealth as a predictor of well-being. We present an alternative transformation-the inverse hyperbolic sine (IHS)-for simultaneously dealing with skewness and accounting for wealth's unique properties. Using the relationship between household wealth and youth's math achievement as an example, we apply the IHS transformation to wealth data from US and Ghanaian households. We also explore non-linearity and accumulation thresholds by combining IHS transformed wealth with splines. IHS transformed wealth relates to youth's math achievement similarly when compared to categorical and natural log transformations, indicating that it is a viable alternative to other transformations commonly used in research. Non-linear relationships and accumulation thresholds emerge that predict youth's math achievement when splines are incorporated. In US households, accumulating debt relates to decreases in math achievement whereas accumulating assets relates to increases in math achievement. In Ghanaian households, accumulating assets between the 25th and 50th percentiles relates to increases in youth's math achievement. Copyright © 2014 Elsevier Inc. All rights reserved.

  10. Speed Math for Kids Helping Children Achieve Their Full Potential

    CERN Document Server

    Handley, Bill

    2012-01-01

    Popular Australian author and inspirational teacher, Bill Handley, has developed and, over the years, refined methods of teaching mathematics and learning strategies that have achieved amazing results. His best-selling book, Speed Mathematics convinced readers that people who excel at maths use better strategies and are not necessarily more intelligent.This book contains additional methods and applications based on the strategies taught in Speed Mathematics that make the principles clearer, encourage creative thought, and are just plain fun. The book was written for young people but people of

  11. Matlab linear algebra

    CERN Document Server

    Lopez, Cesar

    2014-01-01

    MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Linear Algebra introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. In addition to giving an introduction to

  12. Strengthening maths learning dispositions through ‘math clubs’

    OpenAIRE

    Mellony Graven

    2016-01-01

    In this paper, I argue that the establishment of after-school mathematics clubs in early grades holds rich potential for supporting the development of increasingly participatory and sense-making maths learning dispositions. Within the South African Numeracy Chair project, lead by the author, multiple after-school mathematics clubs have been set up for learners in Grades 3-6 across Eastern Cape schools. These clubs are a complementary initiative to teacher development, aimed at improving low l...

  13. Math Game(s) - an alternative (approach) to teaching math?

    OpenAIRE

    Ruttkay, Z.M.; Eliens, A.P.W.; Breitlauch, L.

    2009-01-01

    Getting students to read, digest and practice material is difficult in any discipline, but even more so for math, since many students have to cope with motivational problems and feelings of inadequacy, often due to prior unsuccesful training and teaching methods. In this paper we look at the opportunities offered by computer graphics, visual programming and game design as an alternative for traditional methods of teaching mathemathics. In particular, games may be deployed both as intruments to d...

  14. Multiple Problem-Solving Strategies Provide Insight into Students' Understanding of Open-Ended Linear Programming Problems

    Science.gov (United States)

    Sole, Marla A.

    2016-01-01

    Open-ended questions that can be solved using different strategies help students learn and integrate content, and provide teachers with greater insights into students' unique capabilities and levels of understanding. This article provides a problem that was modified to allow for multiple approaches. Students tended to employ high-powered, complex,…

  15. The Math teachers know

    CERN Document Server

    Davis, Brent

    2013-01-01

    What sorts of mathematics competencies must teachers have in order to teach the discipline well? This book offers a novel take on the question. Most research is focused on explicit knowledge-that is, on the sorts of insights that might be specified, catalogued, taught, and tested. In contrast, this book focuses on the tacit dimensions of teachers' mathematics knowledge that precede and enable their competencies with formal mathematics. It highlights the complexity of this knowledge and offers strategies to uncover it, analyze it, and re-synthesize it in ways that will make it more available

  16. Nurses' maths: researching a practical approach.

    Science.gov (United States)

    Wilson, Ann

    To compare a new practical maths test with a written maths test. The tests were undertaken by qualified nurses training for intravenous drug administration, a skill dependent on maths accuracy. The literature showed that the higher education institutes (HEIs) that provide nurse training use traditional maths tests, a practical way of testing maths had not been described. Fifty five nurses undertook two maths tests based on intravenous drug calculations. One was a traditional written test. The second was a new type of test using a simulated clinical environment. All participants were also interviewed one week later to ascertain their thoughts and feelings about the tests. There was a significant improvement in maths test scores for those nurses who took the practical maths test first. It is suggested that this is because it improved their conceptualisation skills and thus helped them to achieve accuracy in their calculations. Written maths tests are not the best way to help and support nurses in acquiring and improving their maths skills and should be replaced by a more practical approach.

  17. A new preconditioner update strategy for the solution of sequences of linear systems in structural mechanics: application to saddle point problems in elasticity

    Science.gov (United States)

    Mercier, Sylvain; Gratton, Serge; Tardieu, Nicolas; Vasseur, Xavier

    2017-12-01

    Many applications in structural mechanics require the numerical solution of sequences of linear systems typically issued from a finite element discretization of the governing equations on fine meshes. The method of Lagrange multipliers is often used to take into account mechanical constraints. The resulting matrices then exhibit a saddle point structure and the iterative solution of such preconditioned linear systems is considered as challenging. A popular strategy is then to combine preconditioning and deflation to yield an efficient method. We propose an alternative that is applicable to the general case and not only to matrices with a saddle point structure. In this approach, we consider to update an existing algebraic or application-based preconditioner, using specific available information exploiting the knowledge of an approximate invariant subspace or of matrix-vector products. The resulting preconditioner has the form of a limited memory quasi-Newton matrix and requires a small number of linearly independent vectors. Numerical experiments performed on three large-scale applications in elasticity highlight the relevance of the new approach. We show that the proposed method outperforms the deflation method when considering sequences of linear systems with varying matrices.

  18. Online math education (MUMIE) for numerical analysis and linear algebra

    NARCIS (Netherlands)

    Vuik, K.; Daalderop, F.; Wilders, P.; Daudt, J.; Van Kints, R.; Koolstra, K.; Van den Oever, J.; Lobbezoo, B.

    2013-01-01

    This report gives an overview of the work done on MUMIE [2] at TU Delft for the academic year 2012 - 2013. Reports from previous years can be found on our relevant support website [3]. In October 2012 there was a kick-off meeting at TU Berlin regarding the S3M2 project [1]. During this meeting,

  19. Study of the Injection Control Strategies of a Compression Ignition Free Piston Engine Linear Generator in a One-Stroke Starting Process

    Directory of Open Access Journals (Sweden)

    Huihua Feng

    2016-06-01

    Full Text Available For a compression ignition (CI free piston engine linear generator (FPLG, injection timing is one of the most important parameters that affect its performance, especially for the one-stroke starting operation mode. In this paper, two injection control strategies are proposed using piston position and velocity signals. It was found experimentally that the injection timing’s influence on the compression ratio, the peak in-cylinder gas pressure and the indicated work (IW is different from that of traditional reciprocating CI engines. The maximum IW of the ignition starting cylinder, say left cylinder (LC and the right cylinder (RC are 132.7 J and 138.1 J, respectively. The thermal-dynamic model for simulating the working processes of the FPLG are built and verified by experimental results. The numerical simulation results show that the running instability and imbalance between LC and RC are the obvious characters when adopting the injection strategy of the velocity feedback. These could be solved by setting different triggering velocity thresholds for the two cylinders. The IW output from the FPLG under this strategy is higher than that of adopting the position feedback strategy, and the maximum IW of the RC could reach 162.3 J. Under this strategy, the prototype is able to achieve better starting conditions and could operate continuously for dozens of cycles.

  20. Family Maths and Complexity Theory

    OpenAIRE

    Webb, Paul; Austin, Pam

    2012-01-01

    The importance of family involvement is highlighted by findings that parents’ behaviours, beliefs and attitudes affect children’s behaviour in a major way. The Family Maths programme, which is the focus of this study, provides support for the transformative education practices targeted by the South African Department of Education by offering an intervention which includes teachers, learners and their families in an affirming learning community. In this study participating parents were intervi...

  1. Greg Tang: Making Math Count

    Science.gov (United States)

    Pierpont, Katherine

    2006-01-01

    Greg Tang has a resume that could get his foot in the door to a lot of places. A graduate of Harvard with both a B.A. and M.A. in economics, Tang has found success as a business executive, a speechwriter, a software designer and owner of a Tae Kwon Do school. After the publication of his first best-selling book for children, "The Grapes of Math"…

  2. New non-linear control strategy for non-isolated DC/DC converter with high voltage ratio

    International Nuclear Information System (INIS)

    Shahin, A.; Huang, B.; Martin, J.P.; Pierfederici, S.; Davat, B.

    2010-01-01

    In this paper, a non-isolated DC/DC converter with high voltage ratio is proposed to allow the interface between a low voltage power source like fuel cell and a high voltage DC bus. To take into account the low voltage-high density characteristics of power sources, a cascaded structure composed of two sub-converters has been chosen and allows obtaining a high voltage ratio. The choice of each sub-converter is based on the requirements of the source and its performances. Consequently, we have chosen a three-interleaved boost converter as the 1st sub-converter whereas the 2nd sub-converter is a three-level boost converter. The control of the whole system is realized thanks to energetic trajectories planning based on flatness properties of the system. The control of both the current and the balance of voltage across the output serial capacitors of the three-level boost converter is ensured by non-linear controllers based on a new non-linear model. Experimental results allow validating the proposed power architecture and its associated control.

  3. New non-linear control strategy for non-isolated DC/DC converter with high voltage ratio

    Energy Technology Data Exchange (ETDEWEB)

    Shahin, A.; Huang, B.; Martin, J.P.; Pierfederici, S.; Davat, B. [Groupe de Recherche en Electronique et en Electrotechnique de Nancy - INPL - Nancy Universite, 2, Avenue de la Foret de Haye, 54516 Vandoeuvre-les-Nancy Cedex (France)

    2010-01-15

    In this paper, a non-isolated DC/DC converter with high voltage ratio is proposed to allow the interface between a low voltage power source like fuel cell and a high voltage DC bus. To take into account the low voltage-high density characteristics of power sources, a cascaded structure composed of two sub-converters has been chosen and allows obtaining a high voltage ratio. The choice of each sub-converter is based on the requirements of the source and its performances. Consequently, we have chosen a three-interleaved boost converter as the 1st sub-converter whereas the 2nd sub-converter is a three-level boost converter. The control of the whole system is realized thanks to energetic trajectories planning based on flatness properties of the system. The control of both the current and the balance of voltage across the output serial capacitors of the three-level boost converter is ensured by non-linear controllers based on a new non-linear model. Experimental results allow validating the proposed power architecture and its associated control. (author)

  4. Maths4Stats: Educating teachers

    Directory of Open Access Journals (Sweden)

    Renette J. Blignaut

    2013-02-01

    Full Text Available The inadequate nature of the education infrastructure in South Africa has led to poor academic performance at public schools. Problems within schools such as under-qualified teachers and poor teacher performance arise due to the poorly constructed education system in our country. The implementation in 2012 of the Curriculum and Assessment Policy Statement (CAPS at public schools in South Africa saw the further crippling of some teachers, as they were unfamiliar with parts of the CAPS subject content. The Statistics and Population Studies department at the University of the Western Cape was asked to join the Maths4Stats project in 2012. This project was launched by Statistics South Africa in an effort to assist in training the teachers in statistical content within the CAPS Mathematics curricula. The University of the Western Cape’s team would like to share their experience of being part of the Maths4Stats training in the Western Cape. This article focuses on how the training sessions were planned and what the outcomes were. With the knowledge gained from our first Maths4Stats experience, it is recommended that future interventions are still needed to ensure that mathematics teachers become well-informed and confident to teach topics such as data handling, probability and regression analysis.

  5. Productive failure in learning math.

    Science.gov (United States)

    Kapur, Manu

    2014-06-01

    When learning a new math concept, should learners be first taught the concept and its associated procedures and then solve problems, or solve problems first even if it leads to failure and then be taught the concept and the procedures? Two randomized-controlled studies found that both methods lead to high levels of procedural knowledge. However, students who engaged in problem solving before being taught demonstrated significantly greater conceptual understanding and ability to transfer to novel problems than those who were taught first. The second study further showed that when given an opportunity to learn from the failed problem-solving attempts of their peers, students outperformed those who were taught first, but not those who engaged in problem solving first. Process findings showed that the number of student-generated solutions significantly predicted learning outcomes. These results challenge the conventional practice of direct instruction to teach new math concepts and procedures, and propose the possibility of learning from one's own failed problem-solving attempts or those of others before receiving instruction as alternatives for better math learning. © 2014 Cognitive Science Society, Inc.

  6. Maths anxiety and medication dosage calculation errors: A scoping review.

    Science.gov (United States)

    Williams, Brett; Davis, Samantha

    2016-09-01

    A student's accuracy on drug calculation tests may be influenced by maths anxiety, which can impede one's ability to understand and complete mathematic problems. It is important for healthcare students to overcome this barrier when calculating drug dosages in order to avoid administering the incorrect dose to a patient when in the clinical setting. The aim of this study was to examine the effects of maths anxiety on healthcare students' ability to accurately calculate drug dosages by performing a scoping review of the existing literature. This review utilised a six-stage methodology using the following databases; CINAHL, Embase, Medline, Scopus, PsycINFO, Google Scholar, Trip database (http://www.tripdatabase.com/) and Grey Literature report (http://www.greylit.org/). After an initial title/abstract review of relevant papers, and then full text review of the remaining papers, six articles were selected for inclusion in this study. Of the six articles included, there were three experimental studies, two quantitative studies and one mixed method study. All studies addressed nursing students and the presence of maths anxiety. No relevant studies from other disciplines were identified in the existing literature. Three studies took place in the U.S, the remainder in Canada, Australia and United Kingdom. Upon analysis of these studies, four factors including maths anxiety were identified as having an influence on a student's drug dosage calculation abilities. Ultimately, the results from this review suggest more research is required in nursing and other relevant healthcare disciplines regarding the effects of maths anxiety on drug dosage calculations. This additional knowledge will be important to further inform development of strategies to decrease the potentially serious effects of errors in drug dosage calculation to patient safety. Copyright © 2016 Elsevier Ltd. All rights reserved.

  7. Development of brain systems for nonsymbolic numerosity and the relationship to formal math academic achievement.

    Science.gov (United States)

    Haist, Frank; Wazny, Jarnet H; Toomarian, Elizabeth; Adamo, Maha

    2015-02-01

    A central question in cognitive and educational neuroscience is whether brain operations supporting nonlinguistic intuitive number sense (numerosity) predict individual acquisition and academic achievement for symbolic or "formal" math knowledge. Here, we conducted a developmental functional magnetic resonance imaging (MRI) study of nonsymbolic numerosity task performance in 44 participants including 14 school age children (6-12 years old), 14 adolescents (13-17 years old), and 16 adults and compared a brain activity measure of numerosity precision to scores from the Woodcock-Johnson III Broad Math index of math academic achievement. Accuracy and reaction time from the numerosity task did not reliably predict formal math achievement. We found a significant positive developmental trend for improved numerosity precision in the parietal cortex and intraparietal sulcus specifically. Controlling for age and overall cognitive ability, we found a reliable positive relationship between individual math achievement scores and parietal lobe activity only in children. In addition, children showed robust positive relationships between math achievement and numerosity precision within ventral stream processing areas bilaterally. The pattern of results suggests a dynamic developmental trajectory for visual discrimination strategies that predict the acquisition of formal math knowledge. In adults, the efficiency of visual discrimination marked by numerosity acuity in ventral occipital-temporal cortex and hippocampus differentiated individuals with better or worse formal math achievement, respectively. Overall, these results suggest that two different brain systems for nonsymbolic numerosity acuity may contribute to individual differences in math achievement and that the contribution of these systems differs across development. © 2014 Wiley Periodicals, Inc.

  8. One-pot synthesis of linear- and three-arm star-tetrablock quarterpolymers via sequential metal-free ring-opening polymerization using a "catalyst switch" strategy

    KAUST Repository

    Zhao, Junpeng; Pahovnik, David; Gnanou, Yves; Hadjichristidis, Nikolaos

    2014-01-01

    A "catalyst switch" strategy has been used to sequentially polymerize four different heterocyclic monomers. In the first step, epoxides (1,2-butylene oxide and ethylene oxide) were successively polymerized from a monohydroxy or trihydroxy initiator in the presence of a strong phosphazene base promoter (t-BuP4). Then, an excess of diphenyl phosphate (DPP) was introduced, followed by addition and polymerization of a cyclic carbonate (trimethylene carbonate) and a cyclic ester (δ-valerolactone or ε-caprolactone). DPP acted as both neutralizer of the phosphazenium alkoxide (polyether chain end) and activator of the cyclic carbonate/ester. Using this method, linear- and star-tetrablock quarterpolymers were prepared in one pot. This work is emphasizing the strength of the previously developed catalyst switch strategy for the facile metal-free synthesis of complex macromolecular architectures. © 2014 Wiley Periodicals, Inc.

  9. One-pot synthesis of linear- and three-arm star-tetrablock quarterpolymers via sequential metal-free ring-opening polymerization using a "catalyst switch" strategy

    KAUST Repository

    Zhao, Junpeng

    2014-08-06

    A "catalyst switch" strategy has been used to sequentially polymerize four different heterocyclic monomers. In the first step, epoxides (1,2-butylene oxide and ethylene oxide) were successively polymerized from a monohydroxy or trihydroxy initiator in the presence of a strong phosphazene base promoter (t-BuP4). Then, an excess of diphenyl phosphate (DPP) was introduced, followed by addition and polymerization of a cyclic carbonate (trimethylene carbonate) and a cyclic ester (δ-valerolactone or ε-caprolactone). DPP acted as both neutralizer of the phosphazenium alkoxide (polyether chain end) and activator of the cyclic carbonate/ester. Using this method, linear- and star-tetrablock quarterpolymers were prepared in one pot. This work is emphasizing the strength of the previously developed catalyst switch strategy for the facile metal-free synthesis of complex macromolecular architectures. © 2014 Wiley Periodicals, Inc.

  10. The Myth That Only Brilliant People Are Good at Math and Its Implications for Diversity

    Directory of Open Access Journals (Sweden)

    Eleanor K. Chestnut

    2018-05-01

    Full Text Available A common misconception about math is that it requires raw intellectual talent or “brilliance.” Only students who possess this sort of brilliance are assumed to be capable of success in math-related subjects. This harmful myth has far-reaching consequences for the success of girls and children from ethnic-minority backgrounds in these subjects. Because women and minorities are stereotyped as lacking brilliance, the myth that success in math requires this trait is a barrier that students from these groups have to overcome. In the first part of this paper, we detail the pervasiveness of this myth and explore its relation to gender and race gaps in math and beyond. In the second part, we highlight some potential sources of this myth in children’s everyday experiences and offer some strategies for debunking it.

  11. Development, Validation and Summative Evaluation of Card Pairing Games for Selected Math 8 Topics

    Directory of Open Access Journals (Sweden)

    Ronald O. Ocampo

    2015-12-01

    Full Text Available Traditional classroom situation where students are taught predominantly of lecture-discussion method put the classroom in a mathophobic atmosphere. Oftentimes, students exposed to this classroom atmosphere lead to math anxiety and eventually hate the subject and the teacher. Addressing this, varied interactive strategies to create an atmosphere of discourse has been developed and promoted. The use of instructional games has been viewed as one strategy that promotes active learning inside the classroom. Instructional games support constructivist learning and social learning. This study is aimed at developing, validating and evaluating card pairing games for specific topics in Math 8. The Research and Development model ( R& D was used. The card pairing games was validated by subject experts and experts in developing games. In evaluating the card pairing games, the Quasi-Experimental Pretest-Posttest design was used. There are six card pairing games developed for specific topics in Math 8; the card pairing game is highly valid based on the result of the validation; Students exposed to card pairing game become more intact (homogeneous; Students exposed to card games enhance academic performance. It is recommended to test the effectiveness of card pairing games to other group of students; Encourage math teachers to use the developed math card pairing games for classroom instruction; Develop other card pairing game for specific topics in math.

  12. Changes in Math Prerequisites and Student Performance in Business Statistics: Do Math Prerequisites Really Matter?

    OpenAIRE

    Jeffrey J. Green; Courtenay C. Stone; Abera Zegeye; Thomas A. Charles

    2007-01-01

    We use a binary probit model to assess the impact of several changes in math prerequisites on student performance in an undergraduate business statistics course. While the initial prerequisites did not necessarily provide students with the necessary math skills, our study, the first to examine the effect of math prerequisite changes, shows that these changes were deleterious to student performance. Our results helped convince the College of Business to change the math prerequisite again begin...

  13. Inhibition Performance in Children with Math Disabilities

    OpenAIRE

    Winegar, Kathryn Lileth

    2013-01-01

    This study examined the inhibition deficit hypothesis in children with math disabilities (MD). Children with and without MD were compared on two inhibition tasks that included the random generation of numbers and letters. The results addressed three hypotheses. Weak support was found for the first hypothesis which stated difficulties related to inhibition are significantly related to math performance. I found partial support for this hypothesis in that inhibition was related to math problem s...

  14. Briefing paper for universities on Core Maths

    OpenAIRE

    Glaister, Paul

    2015-01-01

    This briefing paper outlines the rationale for and development of the new Core Maths qualifications, the characteristics of Core Maths, and why Core Maths is important for higher education. It is part of a communication to university vice-chancellors from the Department for Business, Innovation and Skills (BIS) comprising this paper and a joint Ministerial letter from Jo Johnson, Minister of State for Universities and Science in BIS, and Nick Gibb, Minister of State for Schools in the Departm...

  15. Teachers’ ability in using math learning media

    Science.gov (United States)

    Masniladevi; Prahmana, R. C. I.; Helsa, Y.; Dalais, M.

    2017-12-01

    The studies aim to enhance teachers’ knowledge and skill in making math instructional media, develop math instructional media, train and assist the use of instructional media in learning math in the classroom. The method used in the activities adopted the pattern of preventive implementation, planning stage, program implementation, observation and evaluation and reflection. The research results show that the evaluation of teachers’ ability is still in average category. The result required more intensive training.

  16. The numerical assessment of motion strategies for integrated linear motor during starting of a free-piston engine generator

    Science.gov (United States)

    Razali Hanipah, M.; Razul Razali, Akhtar

    2017-10-01

    Free-piston engine generator (FPEG) provides a novel method for electrical power generation in hybrid electric vehicle applications with scarcely reported prototype development and testing. This paper is looking into the motion control strategy for motoring the FPEG during starting. There are two motion profiles investigated namely, trapezoidal velocity and Scurve velocity. Both motion profiles were investigated numerically and the results have shown that the S-curve motion can only achieve 80% of the stroke when operated at the proposed motoring speed of 10Hz.

  17. A Novel Strategy of Ambiguity Correction for the Improved Faraday Rotation Estimator in Linearly Full-Polarimetric SAR Data

    Directory of Open Access Journals (Sweden)

    Jinhui Li

    2018-04-01

    Full Text Available Spaceborne synthetic aperture radar (SAR missions operating at low frequencies, such as L-band or P-band, are significantly influenced by the ionosphere. As one of the serious ionosphere effects, Faraday rotation (FR is a remarkable distortion source for the polarimetric SAR (PolSAR application. Various published FR estimators along with an improved one have been introduced to solve this issue, all of which are implemented by processing a set of PolSAR real data. The improved estimator exhibits optimal robustness based on performance analysis, especially in term of the system noise. However, all published estimators, including the improved estimator, suffer from a potential FR angle (FRA ambiguity. A novel strategy of the ambiguity correction for those FR estimators is proposed and shown as a flow process, which is divided into pixel-level and image-level correction. The former is not yet recognized and thus is considered in particular. Finally, the validation experiments show a prominent performance of the proposed strategy.

  18. A Novel Strategy of Ambiguity Correction for the Improved Faraday Rotation Estimator in Linearly Full-Polarimetric SAR Data.

    Science.gov (United States)

    Li, Jinhui; Ji, Yifei; Zhang, Yongsheng; Zhang, Qilei; Huang, Haifeng; Dong, Zhen

    2018-04-10

    Spaceborne synthetic aperture radar (SAR) missions operating at low frequencies, such as L-band or P-band, are significantly influenced by the ionosphere. As one of the serious ionosphere effects, Faraday rotation (FR) is a remarkable distortion source for the polarimetric SAR (PolSAR) application. Various published FR estimators along with an improved one have been introduced to solve this issue, all of which are implemented by processing a set of PolSAR real data. The improved estimator exhibits optimal robustness based on performance analysis, especially in term of the system noise. However, all published estimators, including the improved estimator, suffer from a potential FR angle (FRA) ambiguity. A novel strategy of the ambiguity correction for those FR estimators is proposed and shown as a flow process, which is divided into pixel-level and image-level correction. The former is not yet recognized and thus is considered in particular. Finally, the validation experiments show a prominent performance of the proposed strategy.

  19. Numbers and other math ideas come alive

    CERN Document Server

    Pappas, Theoni

    2012-01-01

    Most people don't think about numbers, or take them for granted. For the average person numbers are looked upon as cold, clinical, inanimate objects. Math ideas are viewed as something to get a job done or a problem solved. Get ready for a big surprise with Numbers and Other Math Ideas Come Alive. Pappas explores mathematical ideas by looking behind the scenes of what numbers, points, lines, and other concepts are saying and thinking. In each story, properties and characteristics of math ideas are entertainingly uncovered and explained through the dialogues and actions of its math

  20. The Impact of MOVE IT Math(TM) and Traditional Textbook Instruction on Math Achievement Scores

    Science.gov (United States)

    Bennett, Angela Stephens

    2010-01-01

    One recommendation of government, education, and business leaders is an increased emphasis on math and science instruction in public schools. The purpose of this quantitative study using a posttest, quasi-experimental design was to determine if the Math Opportunities, Valuable Experiences, and Innovative Teaching (MOVE IT Math(TM)) program…

  1. The Effectiveness of Using STAR Math to Improve PSSA Math Scores

    Science.gov (United States)

    Holub, Sherry L.

    2017-01-01

    This is a quantitative study examining whether STAR Math, a student monitoring system, can improve PSSA Math scores. The experimental school used STAR Math during the 2015-2016 school year in grouping students for remediation and intervention. The control school used traditional curriculum measures to group students for remediation and…

  2. Using Brief Guided Imagery to Reduce Math Anxiety and Improve Math Performance: A Pilot Study

    Science.gov (United States)

    Henslee, Amber M.; Klein, Brandi A.

    2017-01-01

    The objective of this study was to investigate whether brief guided imagery could provide a short-term reduction in math anxiety and improve math performance. Undergraduates (N = 581) were screened for math anxiety, and the highest and lowest quartiles were recruited to participate in a lab-based study. Participants were assigned to a brief guided…

  3. Advanced Math Course Taking: Effects on Math Achievement and College Enrollment

    Science.gov (United States)

    Byun, Soo-yong; Irvin, Matthew J.; Bell, Bethany A.

    2015-01-01

    Using data from the Educational Longitudinal Study of 2002-2006, the authors investigated the effects of advanced math course taking on math achievement and college enrollment and how such effects varied by socioeconomic status and race/ethnicity. Results from propensity score matching and sensitivity analyses showed that advanced math course…

  4. Using an Intelligent Tutor and Math Fluency Training to Improve Math Performance

    Science.gov (United States)

    Arroyo, Ivon; Royer, James M.; Woolf, Beverly P.

    2011-01-01

    This article integrates research in intelligent tutors with psychology studies of memory and math fluency (the speed to retrieve or calculate answers to basic math operations). It describes the impact of computer software designed to improve either strategic behavior or math fluency. Both competencies are key to improved performance and both…

  5. Math Performance as a Function of Math Anxiety and Arousal Performance Theory

    Science.gov (United States)

    Farnsworth, Donald M., Jr.

    2009-01-01

    While research continues to link increased math anxiety with reduced working memory, the exact nature of the relationship remains elusive. In addition, research regarding the extent of the impact math anxiety has on working memory is contradictory. This research clarifies the directional nature of math anxiety as it pertains to working memory, and…

  6. Math Anxiety and Math Performance in Children: The Mediating Roles of Working Memory and Math Self-Concept

    Science.gov (United States)

    Justicia-Galiano, M. José; Martín-Puga, M. Eva; Linares, Rocío; Pelegrina, Santiago

    2017-01-01

    Background: Numerous studies, most of them involving adolescents and adults, have evidenced a moderate negative relationship between math anxiety and math performance. There are, however, a limited number of studies that have addressed the mechanisms underlying this relation. Aims: This study aimed to investigate the role of two possible…

  7. The relation between math self-concept, test and math anxiety, achievement motivation and math achievement in 12 to 14-year-old typically developing adolescents

    NARCIS (Netherlands)

    Timmerman, H.L.; Toll, S.W.M.; van Luit, J.E.H.

    2017-01-01

    :This study examines the relation between math self-concept, test and math anxiety, achievement motivation, and math achievement in typically developing 12 to 14-year-old adolescents (N = 108) from a school for secondary education in the Netherlands. Data was obtained using a math speed test,

  8. Mathematics anxiety: separating the math from the anxiety.

    Science.gov (United States)

    Lyons, Ian M; Beilock, Sian L

    2012-09-01

    Anxiety about math is tied to low math grades and standardized test scores, yet not all math-anxious individuals perform equally poorly in math. We used functional magnetic resonance imaging to separate neural activity during the anticipation of doing math from activity during math performance itself. For higher (but not lower) math-anxious individuals, increased activity in frontoparietal regions when simply anticipating doing math mitigated math-specific performance deficits. This network included bilateral inferior frontal junction, a region involved in cognitive control and reappraisal of negative emotional responses. Furthermore, the relation between frontoparietal anticipatory activity and highly math-anxious individuals' math deficits was fully mediated (or accounted for) by activity in caudate, nucleus accumbens, and hippocampus during math performance. These subcortical regions are important for coordinating task demands and motivational factors during skill execution. Individual differences in how math-anxious individuals recruit cognitive control resources prior to doing math and motivational resources during math performance predict the extent of their math deficits. This work suggests that educational interventions emphasizing control of negative emotional responses to math stimuli (rather than merely additional math training) will be most effective in revealing a population of mathematically competent individuals, who might otherwise go undiscovered.

  9. Girls Talk Math - Engaging Girls Through Math Media

    Science.gov (United States)

    Bernardi, Francesca; Morgan, Katrina

    2017-11-01

    ``Girls Talk Math: Engaging Girls through Math Media'' is a free two-week long summer day camp for high-school girls in the Triangle area of NC. This past June the camp had its second run thanks to renewed funding from the Mathematical Association of America Tensor Women and Mathematics Grant. The camp involved 35 local high-school students who identify as female. Campers complete challenging problem sets and research the life of a female scientist who worked on similar problems. They report their work in a blog post and record a podcast about the scientist they researched. The curriculum has been developed by Mathematics graduate students at UNC from an inquiry based learning perspective; problem sets topics include some theoretical mathematics, but also more applied physics-based material. Campers worked on fluid dynamics, special relativity, and quantum mechanics problem sets which included experiments. The camp has received positive feedback from the local community and the second run saw a large increase in the number of participants. The program is evaluated using pre and post surveys, which measure campers' confidence and interest in pursuing higher level courses in STEM. The results from the past two summers have been encouraging. Mathematical Association of America Tensor Women and Mathematics Grant.

  10. 80 Years of Zentralblatt MATH

    CERN Document Server

    Teschke, Olaf; Werner, Dirk

    2011-01-01

    Founded in 1931 by Otto Neugebauer as the printed documentation service "Zentralblatt fur Mathematik und ihre Grenzgebiete", Zentralblatt MATH (ZBMATH) celebrates its 80th anniversary in 2011. Today it is the most comprehensive and active reference database in pure and applied mathematics worldwide. Many prominent mathematicians have been involved in this service as reviewers or editors and have, like all mathematicians, left their footprints in ZBMATH, in a long list of entries describing all of their research publications in mathematics. This book provides one review from each of t

  11. Maths for the building trades

    CERN Document Server

    Kidd, Jim

    2014-01-01

    Maths for the Building Trades provides students of all ages with an easy-to-understand guide to the fundamental mathematics that is required in their area of study and beyond. It can be used as a learning programme on its own or in conjunction with the textbooks associated with their chosen trade. The book assumes only a minimum level of mathematical knowledge and thoroughly covers the basic rules. It then goes on to fully explain some of the more complex areas in which the student will be required to demonstrate competence.

  12. Combining Basic Business Math and Electronic Calculators.

    Science.gov (United States)

    Merchant, Ronald

    As a means of alleviating math anxiety among business students and of improving their business machine skills, Spokane Falls Community College offers a course in which basic business math skills are mastered through the use of desk top calculators. The self-paced course, which accommodates varying student skill levels, requires students to: (1)…

  13. Explaining Math Achievement: Personality, Motivation, and Trust

    Science.gov (United States)

    Kilic-Bebek, Ebru

    2009-01-01

    This study investigated the statistical significance of student trust next to the well-tested constructs of personality and motivation to determine whether trust is a significant predictor of course achievement in college math courses. Participants were 175 students who were taking undergraduate math courses in an urban public university. The…

  14. Childcare Quality and Preschoolers' Math Development

    Science.gov (United States)

    Choi, Ji Young; Dobbs-Oates, Jennifer

    2014-01-01

    This study examined the associations between four types of childcare quality (i.e. teacher-child closeness, frequency of math-related activities, and teacher education and experience) and preschoolers' residualised gain in math over the course of six months. Additionally, potential interactions between teacher-child closeness and other indicators…

  15. Football to Improve Math and Reading Performance

    Science.gov (United States)

    Van Klaveren, Chris; De Witte, Kristof

    2015-01-01

    Schools frequently increase the instructional time to improve primary school children's math and reading skills. There is, however, little evidence that math and reading skills are effectively improved by these instruction-time increases. This study evaluates "Playing for Success" (PfS), an extended school day program for underachieving…

  16. Five Keys for Teaching Mental Math

    Science.gov (United States)

    Olsen, James R.

    2015-01-01

    After studying the Common Core State Standards for Mathematics (CCSSM) and brain-based learning research, James Olsen believes mental math instruction in secondary school mathematics (grades 7-12) and in teacher education programs needs increased attention. The purpose of this article is to share some keys for teaching mental math. Olsen also…

  17. Mini-Portfolio on Math and Science.

    Science.gov (United States)

    Teaching PreK-8, 1996

    1996-01-01

    Presents six articles dealing with math and science education: "Sneaker Geometry" (Jack George), "Fairs with a Flair" (Diane McCarty), "Generating Excitement with Math Projects" (Jeffrey Kostecky and Louis Roe), "Playing with Numbers" (Diana Smith), "When Student Teachers Want to Do Hands-On Science" (Betsy Feldkamp-Price), and "Science ala Carte"…

  18. Football to improve math and reading performance

    NARCIS (Netherlands)

    Van Klaveren, Chris; De Witte, Kristof

    2015-01-01

    Schools frequently increase the instructional time to improve primary school children's math and reading skills. There is, however, little evidence that math and reading skills are effectively improved by these instruction-time increases. This study evaluates ‘Playing for Success’ (PfS), an extended

  19. Is math anxiety in the secondary classroom limiting physics mastery? A study of math anxiety and physics performance

    Science.gov (United States)

    Mercer, Gary J.

    This quantitative study examined the relationship between secondary students with math anxiety and physics performance in an inquiry-based constructivist classroom. The Revised Math Anxiety Rating Scale was used to evaluate math anxiety levels. The results were then compared to the performance on a physics standardized final examination. A simple correlation was performed, followed by a multivariate regression analysis to examine effects based on gender and prior math background. The correlation showed statistical significance between math anxiety and physics performance. The regression analysis showed statistical significance for math anxiety, physics performance, and prior math background, but did not show statistical significance for math anxiety, physics performance, and gender.

  20. Effective pedagogies for teaching math to nursing students: a literature review.

    Science.gov (United States)

    Hunter Revell, Susan M; McCurry, Mary K

    2013-11-01

    Improving mathematical competency and problem-solving skills in undergraduate nursing students has been an enduring challenge for nurse educators. A number of teaching strategies have been used to address this problem with varying degrees of success. This paper discusses a literature review which examined undergraduate nursing student challenges to learning math, methods used to teach math and problem-solving skills, and the use of innovative pedagogies for teaching. The literature was searched using the Cumulative Index of Nursing and Allied Health Literature and Education Resource Information Center databases. Key search terms included: math*, nurs*, nursing student, calculation, technology, medication administration, challenges, problem-solving, personal response system, clickers, computer and multi-media. Studies included in the review were published in English from 1990 to 2011. Results support four major themes which include: student challenges to learning, traditional pedagogies, curriculum strategies, and technology and integrative methods as pedagogy. The review concludes that there is a need for more innovative pedagogical strategies for teaching math to student nurses. Nurse educators in particular play a central role in helping students learn the conceptual basis, as well as practical hands-on methods, to problem solving and math competency. It is recommended that an integrated approach inclusive of technology will benefit students through better performance, increased understanding, and improved student satisfaction. Copyright © 2012 Elsevier Ltd. All rights reserved.

  1. Phylogeny of the TRAF/MATH domain.

    Science.gov (United States)

    Zapata, Juan M; Martínez-García, Vanesa; Lefebvre, Sophie

    2007-01-01

    The TNF-receptor associated factor (TRAF) domain (TD), also known as the meprin and TRAF-C homology (MATH) domain is a fold of seven anti-parallel p-helices that participates in protein-protein interactions. This fold is broadly represented among eukaryotes, where it is found associated with a discrete set of protein-domains. Virtually all protein families encompassing a TRAF/MATH domain seem to be involved in the regulation of protein processing and ubiquitination, strongly suggesting a parallel evolution of the TRAF/MATH domain and certain proteolysis pathways in eukaryotes. The restricted number of living organisms for which we have information of their genetic and protein make-up limits the scope and analysis of the MATH domain in evolution. However, the available information allows us to get a glimpse on the origins, distribution and evolution of the TRAF/MATH domain, which will be overviewed in this chapter.

  2. Engaging Math-Avoidant College Students

    Directory of Open Access Journals (Sweden)

    M. Paul Latiolais

    2009-07-01

    Full Text Available This paper is an informal, personal account of how we, as two college teachers, became interested in math anxiety, decided to explore it amongst students at our institution in order to inform our teaching, and became convinced that the massive problem is math avoidance. We tried discussion groups, but few students attended, although those that did made useful suggestions. Thus informed, we designed an innovative course, Confronting College Mathematics as a Humanities course with the possibility of credit toward the math requirement, but it was undersubscribed in its first offering and had to be canceled. How can we get college students who avoid math to break through the barrier of math avoidance? We have now begun to explore a new approach: Second Life, where students can engage math—and quantitative literacy—virtually, and anonymously.

  3. The Middle School Experience: Effects on the Math and Science Achievement of Adolescents with LD.

    Science.gov (United States)

    Anderman, Eric M.

    1998-01-01

    Using data from the National Education Longitudinal Study and applying hierarchical linear modeling, this study found a strong gap in achievement in math and science between adolescents with and without learning disabilities (LD). The gap was reduced for LD adolescents who did not make a school transition until at least ninth grade. (DB)

  4. Methods in half-linear asymptotic theory

    Czech Academy of Sciences Publication Activity Database

    Řehák, Pavel

    2016-01-01

    Roč. 2016, Č. 267 (2016), s. 1-27 ISSN 1072-6691 Institutional support: RVO:67985840 Keywords : half-linear differential equation * nonoscillatory solution * regular variation Subject RIV: BA - General Mathematics Impact factor: 0.954, year: 2016 http://ejde.math.txstate.edu/Volumes/2016/267/abstr.html

  5. Tried and True: Springing into Linear Models

    Science.gov (United States)

    Darling, Gerald

    2012-01-01

    In eighth grade, students usually learn about forces in science class and linear relationships in math class, crucial topics that form the foundation for further study in science and engineering. An activity that links these two fundamental concepts involves measuring the distance a spring stretches as a function of how much weight is suspended…

  6. Emerging synthetic strategies for core cross-linked star (CCS) polymers and applications as interfacial stabilizers: bridging linear polymers and nanoparticles.

    Science.gov (United States)

    Chen, Qijing; Cao, Xueteng; Xu, Yuanyuan; An, Zesheng

    2013-10-01

    Core cross-linked star (CCS) polymers become increasingly important in polymer science and are evaluated in many value-added applications. However, limitations exist to varied degrees for different synthetic methods. It is clear that improvement in synthetic efficiency is fundamental in driving this field moving even further. Here, the most recent advances are highlighted in synthetic strategies, including cross-linking with cross-linkers of low solubility, polymerization-induced self-assembly in aqueous-based heterogeneous media, and cross-linking via dynamic covalent bonds. The understanding of CCS polymers is also further refined to advocate their role as an intermediate between linear polymers and polymeric nanoparticles, and their use as interfacial stabilizers is rationalized within this context. © 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

  7. Evaluation of Multiple Linear Regression-Based Limited Sampling Strategies for Enteric-Coated Mycophenolate Sodium in Adult Kidney Transplant Recipients.

    Science.gov (United States)

    Brooks, Emily K; Tett, Susan E; Isbel, Nicole M; McWhinney, Brett; Staatz, Christine E

    2018-04-01

    Although multiple linear regression-based limited sampling strategies (LSSs) have been published for enteric-coated mycophenolate sodium, none have been evaluated for the prediction of subsequent mycophenolic acid (MPA) exposure. This study aimed to examine the predictive performance of the published LSS for the estimation of future MPA area under the concentration-time curve from 0 to 12 hours (AUC0-12) in renal transplant recipients. Total MPA plasma concentrations were measured in 20 adult renal transplant patients on 2 occasions a week apart. All subjects received concomitant tacrolimus and were approximately 1 month after transplant. Samples were taken at 0, 0.33, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 6, and 8 hours and 0, 0.25, 0.5, 0.75, 1, 1.25, 1.5, 2, 3, 4, 6, 9, and 12 hours after dose on the first and second sampling occasion, respectively. Predicted MPA AUC0-12 was calculated using 19 published LSSs and data from the first or second sampling occasion for each patient and compared with the second occasion full MPA AUC0-12 calculated using the linear trapezoidal rule. Bias (median percentage prediction error) and imprecision (median absolute prediction error) were determined. Median percentage prediction error and median absolute prediction error for the prediction of full MPA AUC0-12 were multiple linear regression-based LSS was not possible without concentrations up to at least 8 hours after the dose.

  8. Math

    Directory of Open Access Journals (Sweden)

    Srinivas Jangili

    2016-09-01

    Full Text Available The present study investigates the entropy generation in magnetized-micropolar fluid flow in between two vertical concentric rotating cylinders of infinite length. The surface of the inner cylinder is heated while the surface of the outer cylinder is cooled. Internal heat generation is incorporated. The Eringen thermo-micropolar fluid model is used to simulate the micro-structural rheological flow characteristics in the annulus region. The flow is subjected to a constant, static, axial magnetic field. The surface of the inner cylinder is prescribed to be isothermal whereas the surface of the outer cylinder was exposed to convection cooling. The conservation equations are normalized and closed-form solutions are obtained for the velocity, microrotation, temperature, entropy generation number, Bejan number and total entropy generation rate. The effects of the relevant parameters are displayed graphically. It is observed that the external magnetic force enhances the entropy production rate and it is maximum in the proximity of the inner cylinder. This causes more wear and tear at the surface of the inner cylinder. Greater Hartmann number also elevates microrotation values in the entire annulus region. The study is relevant to optimization of chemical engineering processes, nuclear engineering cooling systems and propulsion systems utilizing non-Newtonian fluids and magnetohydrodynamics.

  9. Strengthening maths learning dispositions through ‘math clubs’

    Directory of Open Access Journals (Sweden)

    Mellony Graven

    2016-02-01

    Full Text Available In this paper, I argue that the establishment of after-school mathematics clubs in early grades holds rich potential for supporting the development of increasingly participatory and sensemaking maths learning dispositions. Within the South African Numeracy Chair project, lead by the author, multiple after-school mathematics clubs have been set up for learners in Grades 3–6 across Eastern Cape schools. These clubs are a complementary initiative to teacher development, aimed at improving low levels of numeracy learning across the majority of schools in the province. Two sources of data, learner interviews and teacher questionnaires, from one case study club, are shared in this article to illuminate the potential such clubs hold in developing increasingly participatory mathematics learning dispositions.

  10. Mothers, Intrinsic Math Motivation, Arithmetic Skills, and Math Anxiety in Elementary School

    Science.gov (United States)

    Daches Cohen, Lital; Rubinsten, Orly

    2017-01-01

    Math anxiety is influenced by environmental, cognitive, and personal factors. Yet, the concurrent relationships between these factors have not been examined. To this end, the current study investigated how the math anxiety of 30 sixth graders is affected by: (a) mother’s math anxiety and maternal behaviors (environmental factors); (b) children’s arithmetic skills (cognitive factors); and (c) intrinsic math motivation (personal factor). A rigorous assessment of children’s math anxiety was made by using both explicit and implicit measures. The results indicated that accessible self-representations of math anxiety, as reflected by the explicit self-report questionnaire, were strongly affected by arithmetic skills. However, unconscious cognitive constructs of math anxiety, as reflected by the numerical dot-probe task, were strongly affected by environmental factors, such as maternal behaviors and mothers’ attitudes toward math. Furthermore, the present study provided preliminary evidence of intergenerational transmission of math anxiety. The conclusions are that in order to better understand the etiology of math anxiety, multiple facets of parenting and children’s skills should be taken into consideration. Implications for researchers, parents, and educators are discussed. PMID:29180973

  11. Mothers, Intrinsic Math Motivation, Arithmetic Skills, and Math Anxiety in Elementary School.

    Science.gov (United States)

    Daches Cohen, Lital; Rubinsten, Orly

    2017-01-01

    Math anxiety is influenced by environmental, cognitive, and personal factors. Yet, the concurrent relationships between these factors have not been examined. To this end, the current study investigated how the math anxiety of 30 sixth graders is affected by: (a) mother's math anxiety and maternal behaviors (environmental factors); (b) children's arithmetic skills (cognitive factors); and (c) intrinsic math motivation (personal factor). A rigorous assessment of children's math anxiety was made by using both explicit and implicit measures. The results indicated that accessible self-representations of math anxiety, as reflected by the explicit self-report questionnaire, were strongly affected by arithmetic skills. However, unconscious cognitive constructs of math anxiety, as reflected by the numerical dot-probe task, were strongly affected by environmental factors, such as maternal behaviors and mothers' attitudes toward math. Furthermore, the present study provided preliminary evidence of intergenerational transmission of math anxiety. The conclusions are that in order to better understand the etiology of math anxiety, multiple facets of parenting and children's skills should be taken into consideration. Implications for researchers, parents, and educators are discussed.

  12. Math Anxiety Is Related to Some, but Not All, Experiences with Math.

    Science.gov (United States)

    O'Leary, Krystle; Fitzpatrick, Cheryll L; Hallett, Darcy

    2017-01-01

    Math anxiety has been defined as unpleasant feelings of tension and anxiety that hinder the ability to deal with numbers and math in a variety of situations. Although many studies have looked at situational and demographic factors associated with math anxiety, little research has looked at the self-reported experiences with math that are associated with math anxiety. The present study used a mixed-methods design and surveyed 131 undergraduate students about their experiences with math through elementary school, junior high, and high school, while also assessing math anxiety, general anxiety, and test anxiety. Some reported experiences (e.g., support in high school, giving students plenty of examples) were significantly related to the level of math anxiety, even after controlling for general and test anxiety, but many other factors originally thought to be related to math anxiety did not demonstrate a relation in this study. Overall, this study addresses a gap in the literature and provides some suggestive specifics of the kinds of past experiences that are related to math anxiety and those that are not.

  13. Math Anxiety Is Related to Some, but Not All, Experiences with Math

    Directory of Open Access Journals (Sweden)

    Krystle O'Leary

    2017-12-01

    Full Text Available Math anxiety has been defined as unpleasant feelings of tension and anxiety that hinder the ability to deal with numbers and math in a variety of situations. Although many studies have looked at situational and demographic factors associated with math anxiety, little research has looked at the self-reported experiences with math that are associated with math anxiety. The present study used a mixed-methods design and surveyed 131 undergraduate students about their experiences with math through elementary school, junior high, and high school, while also assessing math anxiety, general anxiety, and test anxiety. Some reported experiences (e.g., support in high school, giving students plenty of examples were significantly related to the level of math anxiety, even after controlling for general and test anxiety, but many other factors originally thought to be related to math anxiety did not demonstrate a relation in this study. Overall, this study addresses a gap in the literature and provides some suggestive specifics of the kinds of past experiences that are related to math anxiety and those that are not.

  14. Mothers, Intrinsic Math Motivation, Arithmetic Skills, and Math Anxiety in Elementary School

    Directory of Open Access Journals (Sweden)

    Lital Daches Cohen

    2017-11-01

    Full Text Available Math anxiety is influenced by environmental, cognitive, and personal factors. Yet, the concurrent relationships between these factors have not been examined. To this end, the current study investigated how the math anxiety of 30 sixth graders is affected by: (a mother’s math anxiety and maternal behaviors (environmental factors; (b children’s arithmetic skills (cognitive factors; and (c intrinsic math motivation (personal factor. A rigorous assessment of children’s math anxiety was made by using both explicit and implicit measures. The results indicated that accessible self-representations of math anxiety, as reflected by the explicit self-report questionnaire, were strongly affected by arithmetic skills. However, unconscious cognitive constructs of math anxiety, as reflected by the numerical dot-probe task, were strongly affected by environmental factors, such as maternal behaviors and mothers’ attitudes toward math. Furthermore, the present study provided preliminary evidence of intergenerational transmission of math anxiety. The conclusions are that in order to better understand the etiology of math anxiety, multiple facets of parenting and children’s skills should be taken into consideration. Implications for researchers, parents, and educators are discussed.

  15. Solving Math Problems Approximately: A Developmental Perspective.

    Directory of Open Access Journals (Sweden)

    Dana Ganor-Stern

    Full Text Available Although solving arithmetic problems approximately is an important skill in everyday life, little is known about the development of this skill. Past research has shown that when children are asked to solve multi-digit multiplication problems approximately, they provide estimates that are often very far from the exact answer. This is unfortunate as computation estimation is needed in many circumstances in daily life. The present study examined 4th graders, 6th graders and adults' ability to estimate the results of arithmetic problems relative to a reference number. A developmental pattern was observed in accuracy, speed and strategy use. With age there was a general increase in speed, and an increase in accuracy mainly for trials in which the reference number was close to the exact answer. The children tended to use the sense of magnitude strategy, which does not involve any calculation but relies mainly on an intuitive coarse sense of magnitude, while the adults used the approximated calculation strategy which involves rounding and multiplication procedures, and relies to a greater extent on calculation skills and working memory resources. Importantly, the children were less accurate than the adults, but were well above chance level. In all age groups performance was enhanced when the reference number was smaller (vs. larger than the exact answer and when it was far (vs. close from it, suggesting the involvement of an approximate number system. The results suggest the existence of an intuitive sense of magnitude for the results of arithmetic problems that might help children and even adults with difficulties in math. The present findings are discussed in the context of past research reporting poor estimation skills among children, and the conditions that might allow using children estimation skills in an effective manner.

  16. Advantage of make-to-stock strategy based on linear mixed-effect model: a comparison with regression, autoregressive, times series, and exponential smoothing models

    Directory of Open Access Journals (Sweden)

    Yu-Pin Liao

    2017-11-01

    Full Text Available In the past few decades, demand forecasting has become relatively difficult due to rapid changes in the global environment. This research illustrates the use of the make-to-stock (MTS production strategy in order to explain how forecasting plays an essential role in business management. The linear mixed-effect (LME model has been extensively developed and is widely applied in various fields. However, no study has used the LME model for business forecasting. We suggest that the LME model be used as a tool for prediction and to overcome environment complexity. The data analysis is based on real data in an international display company, where the company needs accurate demand forecasting before adopting a MTS strategy. The forecasting result from the LME model is compared to the commonly used approaches, including the regression model, autoregressive model, times series model, and exponential smoothing model, with the results revealing that prediction performance provided by the LME model is more stable than using the other methods. Furthermore, product types in the data are regarded as a random effect in the LME model, hence demands of all types can be predicted simultaneously using a single LME model. However, some approaches require splitting the data into different type categories, and then predicting the type demand by establishing a model for each type. This feature also demonstrates the practicability of the LME model in real business operations.

  17. Enhancing Mathematical Communication for Virtual Math Teams

    Directory of Open Access Journals (Sweden)

    Gerry Stahl

    2010-06-01

    Full Text Available The Math Forum is an online resource center for pre-algebra, algebra, geometry and pre-calculus. Its Virtual Math Teams (VMT service provides an integrated web-based environment for small teams of people to discuss math and to work collaboratively on math problems or explore interesting mathematical micro-worlds together. The VMT Project studies the online math discourse that takes place during sessions of virtual math teams working on open-ended problem-solving tasks. In particular, it investigates methods of group cognition that are employed by teams in this setting. The VMT environment currently integrates social networking, synchronous text chat, a shared whiteboard for drawing, web browsers and an asynchronous wiki for exchanging findings within the larger community. A simple version of MathML is supported in the whiteboard, chat and wiki for displaying mathematical expressions. The VMT Project is currently integrating the dynamic mathematics application, GeoGebra, into its collaboration environment. This will create a multi-user version of GeoGebra, which can be used in concert with the chat, web browsers, curricular topics and wiki repository.

  18. La maison des mathématiques

    CERN Document Server

    Villani, Cédric; Moncorgé, Vincent

    2014-01-01

    Comment travaillent les mathématiciens ? C'est peut-être en se promenant dans les couloirs de la première des " maisons des mathématiques " de France, l'institut Henri Poincaré, que l'on trouvera quelques réponses. Le mathématicien Cédric Villani et le physicien Jean-Philippe Uzan nous invitent à découvrir cette discipline et ses acteurs. Au fil des pages on suit, à travers de superbes images signées du photographe Vincent Moncorgé, la façon dont se fabrique cette science qui reste souvent mystérieuse. Toutes les dimensions, scientifique, esthétique et poétique, des mathématiques sont convoquées grâce à des regards croisés : la diversité des inspirations des chercheurs, la source de leur créativité, l'imaginaire littéraire et artistique des mathématiques, la drôle de tribu des mathématiciens. Un voyage au cœur de cette " auberge espagnole " des mathématiques, campus " à la française " accueillant des centaines de chercheurs du monde entier, devenu un lieu d'émulation et d'éc...

  19. The neurodevelopmental basis of math anxiety.

    Science.gov (United States)

    Young, Christina B; Wu, Sarah S; Menon, Vinod

    2012-05-01

    Math anxiety is a negative emotional reaction to situations involving mathematical problem solving. Math anxiety has a detrimental impact on an individual's long-term professional success, but its neurodevelopmental origins are unknown. In a functional MRI study on 7- to 9-year-old children, we showed that math anxiety was associated with hyperactivity in right amygdala regions that are important for processing negative emotions. In addition, we found that math anxiety was associated with reduced activity in posterior parietal and dorsolateral prefrontal cortex regions involved in mathematical reasoning. Multivariate classification analysis revealed distinct multivoxel activity patterns, which were independent of overall activation levels in the right amygdala. Furthermore, effective connectivity between the amygdala and ventromedial prefrontal cortex regions that regulate negative emotions was elevated in children with math anxiety. These effects were specific to math anxiety and unrelated to general anxiety, intelligence, working memory, or reading ability. Our study identified the neural correlates of math anxiety for the first time, and our findings have significant implications for its early identification and treatment.

  20. Math-Gender Stereotypes in Elementary School Children

    Science.gov (United States)

    Cvencek, Dario; Meltzoff, Andrew N.; Greenwald, Anthony G.

    2011-01-01

    A total of 247 American children between 6 and 10 years of age (126 girls and 121 boys) completed Implicit Association Tests and explicit self-report measures assessing the association of (a) "me" with "male" (gender identity), (b) "male" with "math" (math-gender stereotype), and (c) "me" with "math" (math self-concept). Two findings emerged.…

  1. More than Counting: Whole Math Activities for Preschool and Kindergarten.

    Science.gov (United States)

    Moomaw, Sally; Hieronymus, Brenda

    This book presents extensive sampling of a "whole math" curriculum for preschool and kindergarten children ages 3 and older. An introductory chapter is followed by seven curriculum chapters that discuss math manipulatives, collections, grid games, path games, graphing, math and gross-motor play, and the "math suitcase." Each chapter is divided…

  2. Math and Gender: Is Math a Route to a High-Powered Career?

    DEFF Research Database (Denmark)

    Joensen, Juanna Schrøter; Nielsen, Helena Skyt

    There is a large gender gap in advanced math coursework in high school that many believe exists because girls are discouraged from taking math courses. In this paper, we exploit an institutional change that reduced the costs of acquiring advanced high school math to determine if access is, in fact......, the mechanism - in particular for girls at the top of the math ability distribution. By estimating marginal treatment effects of acquiring advanced math qualifications, we document substantial beneficial wage effects from encouraging even more females to opt for these qualifications. Our analysis suggests...... that the beneficial effect comes from accelerating graduation and attracting females to high-paid or traditionally male-dominated career tracks and to CEO positions. Our results may be reconciled with experimental and empirical evidence suggesting there is a pool of unexploited math talent among high ability girls...

  3. Affective and motivational factors mediate the relation between math skills and use of math in everyday life

    NARCIS (Netherlands)

    Jansen, B.R.J.; Schmitz, E.A.; van der Maas, H.L.J.

    2016-01-01

    This study focused on the use of math in everyday life (the propensity to recognize and solve quantitative issues in real life situations). Data from a Dutch nation-wide research on math among adults (N = 521) were used to investigate the question whether math anxiety and perceived math competence

  4. Turning Negatives into Positives: The Role of an Instructional Math Course on Preservice Teachers' Math Beliefs

    Science.gov (United States)

    Looney, Lisa; Perry, David; Steck, Andy

    2017-01-01

    Teachers' beliefs about mathematics can play a role in their teaching effectiveness (Bandura, 1993). Negative attitudes toward math (e.g., math anxiety) or low self-efficacy beliefs for teaching math can act as barriers to the teaching process, impacting the achievement and math beliefs of students (Beilock, Gunderson, Ramirez, & Levine, 2010;…

  5. An Investigation of Boys' and Girls' Emotional Experience of Math, Their Math Performance, and the Relation between These Variables

    Science.gov (United States)

    Erturan, Selin; Jansen, Brenda

    2015-01-01

    Gender differences in children's emotional experience of math, their math performance, and the relation between these variables were investigated in two studies. In Study 1, test anxiety, math anxiety, and math performance (whole-number computation) were measured in 134 children in grades 3-8 (ages 7-15 years). In Study 2, perceived math…

  6. An investigation of boys’ and girls’ emotional experience of math, their math performance, and the relation between these variables

    NARCIS (Netherlands)

    Erturan, S; Jansen, B.

    2015-01-01

    GGender differences in children’s emotional experience of math, their math performance, and the relation between these variables were investigated in two studies. In Study 1, test anxiety, math anxiety, and math performance (whole-number computation) were measured in 134 children in grades 3-8 (ages

  7. Math Practice and Its Influence on Math Skills and Executive Functions in Adolescents with Mild to Borderline Intellectual Disability

    Science.gov (United States)

    Jansen, Brenda R. J.; De Lange, Eva; Van der Molen, Mariet J.

    2013-01-01

    Adolescents with mild to borderline intellectual disability (MBID) often complete schooling without mastering basic math skills, even though basic math is essential for math-related challenges in everyday life. Limited attention to cognitive skills and low executive functioning (EF) may cause this delay. We aimed to improve math skills in an…

  8. Neural correlates of math anxiety – an overview and implications

    OpenAIRE

    Artemenko, Christina; Daroczy, Gabriella; Nuerk, Hans-Christoph

    2015-01-01

    Math anxiety is a common phenomenon which can have a negative impact on numerical and arithmetic performance. However, so far little is known about the underlying neurocognitive mechanisms. This mini review provides an overview of studies investigating the neural correlates of math anxiety which provide several hints regarding its influence on math performance: while behavioral studies mostly observe an influence of math anxiety on difficult math tasks, neurophysiological studies show that pr...

  9. Effects of an Intervention on Math Achievement for Students with Learning Disabilities

    Science.gov (United States)

    Kitchens, Vivian D.

    2012-01-01

    Students with learning disabilities score lower than other at-risk groups on state standardized assessment tests. Educators are searching for intervention strategies to improve math achievement for students with learning disabilities. Using the theoretical framework of behaviorism, the purpose of this quantitative one group pre post test design…

  10. Effects of an Intervention on Math Achievement for Students with Learning Disabilities

    Science.gov (United States)

    Kitchens, Vivian D.; Deris, Aaron R.; Simon, Marilyn K.

    2016-01-01

    Students with learning disabilities score lower than other at-risk groups on state standardized assessment tests. Educators are searching for intervention strategies to improve math achievement for students with learning disabilities. The study examined the effects of a mathematics intervention known as Cover, Copy, and Compare for learning basic…

  11. Symbolic math for computation of radiation shielding

    International Nuclear Information System (INIS)

    Suman, Vitisha; Datta, D.; Sarkar, P.K.; Kushwaha, H.S.

    2010-01-01

    Radiation transport calculations for shielding studies in the field of accelerator technology often involve intensive numerical computations. Traditionally, radiation transport equation is solved using finite difference scheme or advanced finite element method with respect to specific initial and boundary conditions suitable for the geometry of the problem. All these computations need CPU intensive computer codes for accurate calculation of scalar and angular fluxes. Computation using symbols of the analytical expression representing the transport equation as objects is an enhanced numerical technique in which the computation is completely algorithm and data oriented. Algorithm on the basis of symbolic math architecture is developed using Symbolic math toolbox of MATLAB software. Present paper describes the symbolic math algorithm and its application as a case study in which shielding calculation of rectangular slab geometry is studied for a line source of specific activity. Study of application of symbolic math in this domain evolves a new paradigm compared to the existing computer code such as DORT. (author)

  12. Math: The Gateway to Great Careers

    Science.gov (United States)

    Ploutz-Snyder, Robert

    2010-01-01

    This slide presentation examines the role of mathematical proficiency and how it relates to advantages in careers. It emphasises the role of math in attaining entrance to college, graduate schools, and a career that is interesting and well paying.

  13. Developing Mathematical Resilience of Prospective Math Teachers

    Science.gov (United States)

    Ariyanto, L.; Herman, T.; Sumarmo, U.; Suryadi, D.

    2017-09-01

    Prospective math teachers need to develop positive adaptive attitudes toward mathematics that will enable them to continue learning despite having to deal with obstacles and difficulties. This research focuses on the resilience improvement of the prospective mathematic teachers after being treated using problem-based learning based on their basic knowledge on mathematic and their overall knowledge on math. This research used only one group for pre-test and post-test. The result of this research shows that there is improvement on prospective teachers’ resilience after they were given treatment using problem-based learning. One of the factors causing the resilience improvement of the prospective mathematic teachers is the instructions on students’ work sheet. In the instructions, stud ents were asked to write difficulties in solving math problems as well as write down the solution they take to overcome them. This research can be used as a reference for other researchers who want to do the same research related on students’ resiliency o n math and or math lecturers to improve the resilience of prospective teachers to be resilient teachers on math in the future.

  14. Understanding the Home Math Environment and Its Role in Predicting Parent Report of Children’s Math Skills

    Science.gov (United States)

    Ganley, Colleen M.; Purpura, David J.

    2016-01-01

    There is a growing literature concerning the role of the home math environment in children’s math development. In this study, we examined the relation between these constructs by specifically addressing three goals. The first goal was to identify the measurement structure of the home math environment through a series of confirmatory factor analyses. The second goal was to examine the role of the home math environment in predicting parent report of children’s math skills. The third goal was to test a series of potential alternative explanations for the relation between the home math environment and parent report of children’s skills, specifically the direct and indirect role of household income, parent math anxiety, and parent math ability as measured by their approximate number system performance. A final sample of 339 parents of children aged 3 through 8 drawn from Mechanical Turk answered a questionnaire online. The best fitting model of the home math environment was a bifactor model with a general factor representing the general home math environment, and three specific factors representing the direct numeracy environment, the indirect numeracy environment, and the spatial environment. When examining the association of the home math environment factors to parent report of child skills, the general home math environment factor and the spatial environment were the only significant predictors. Parents who reported doing more general math activities in the home reported having children with higher math skills, whereas parents who reported doing more spatial activities reported having children with lower math skills. PMID:28005925

  15. Math know-how answers to your most persistent teaching issues, grades 3-5

    CERN Document Server

    Adams, Thomasenia L

    2013-01-01

    From two math coaches who really know how Have you ever wished there were a single resource to help you tackle your most persistent teaching issues once and for all? To engage students in more meaningful ways? To provide the tools you need to increase students' understanding of key mathematical concepts? All at the same time! Math coaches Thomasenia Lott Adams and Joanne LaFramenta have just written it. With the help of this book, you'll be armed with the know-how to employ strategies to achieve the CCSS, especially the Mathematical Practices make purposeful teaching decisions facilitate differentiated instruction teach and learn with manipulatives use technology appropriately.

  16. Linear algebra

    CERN Document Server

    Shilov, Georgi E

    1977-01-01

    Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

  17. On the Leaky Math Pipeline: Comparing Implicit Math-Gender Stereotypes and Math Withdrawal in Female and Male Children and Adolescents

    Science.gov (United States)

    Steffens, Melanie C.; Jelenec, Petra; Noack, Peter

    2010-01-01

    Many models assume that habitual human behavior is guided by spontaneous, automatic, or implicit processes rather than by deliberate, rule-based, or explicit processes. Thus, math-ability self-concepts and math performance could be related to implicit math-gender stereotypes in addition to explicit stereotypes. Two studies assessed at what age…

  18. The Aftermath of Remedial Math: Investigating the Low Rate of Certificate Completion among Remedial Math Students

    Science.gov (United States)

    Bahr, Peter Riley

    2013-01-01

    Nationally, a majority of community college students require remedial assistance with mathematics, but comparatively few students who begin the remedial math sequence ultimately complete it and achieve college-level math competency. The academic outcomes of students who begin the sequence but do not complete it are disproportionately unfavorable:…

  19. Math Tracks: What Pace in Math Is Best for the Middle School Child?

    Science.gov (United States)

    Morrison, Michelle

    2011-01-01

    Mathematics is a critical part of academic preparation of the middle school child, or, as Dr. Maria Montessori would refer to them, children in the third plane of development. Montessori educators are sincere in their endeavors not only to prepare young students for further studies of math and the application of math in their world and careers,…

  20. Math and Movement: Practical Ways to Incorporate Math into Physical Education

    Science.gov (United States)

    Wade, Marcia

    2016-01-01

    Each year, physical educators are asked to incorporate even more math, language arts, science and social studies into their curriculum. The challenge is how to do this without sacrificing the essential health and life skills provided by a quality physical education program. One program, Math & Movement, is a great aid for physical educators to…

  1. The Effects of the Elevate Math Summer Program on Math Achievement and Algebra Readiness

    Science.gov (United States)

    Snipes, Jason; Huang, Chun-Wei; Jaquet, Karina; Finkelstein, Neal

    2016-01-01

    To raise math success rates in middle school, many schools and districts have implemented summer math programs designed to improve student preparation for algebra content in grade 8. However, little is known about the effectiveness of these programs. While students who participate typically experience learning gains, there is little rigorous…

  2. Gender compatibility, math-gender stereotypes, and self-concepts in math and physics

    Science.gov (United States)

    Koul, Ravinder; Lerdpornkulrat, Thanita; Poondej, Chanut

    2016-12-01

    [This paper is part of the Focused Collection on Gender in Physics.] Positive self-assessment of ability in the quantitative domains is considered critical for student participation in science, technology, engineering, and mathematics field studies. The present study investigated associations of gender compatibility (gender typicality and contentedness) and math-gender stereotypes with self-concepts in math and physics. Statistical analysis of survey data was based on a sample of 170 male and female high school science students matched on propensity scores based on age and past GPA scores in math. Results of MANCOVA analyses indicated that the combination of high personal gender compatibility with low endorsement of math-gender stereotypes was associated with low gender differentials in math and physics self-concepts whereas the combination of high personal gender compatibility with high endorsement of math-gender stereotypes was associated with high gender differentials in math and physics self-concepts. These results contribute to the recent theoretical and empirical work on antecedents to the math and physics identities critical to achieving gender equity in STEM fields.

  3. Evaluation of the MIND Research Institute's Spatial-Temporal Math (ST Math) Program in California

    Science.gov (United States)

    Wendt, Staci; Rice, John; Nakamoto, Jonathan

    2014-01-01

    The MIND Research Institute contracted with the Evaluation Research Program at WestEd to conduct an independent assessment of mathematics outcomes in elementary school grades across California that were provided with the ST Math program. Spatial-Temporal (ST) Math is a game-based instructional software designed to boost K-5 and secondary-level…

  4. Literacy Specialists in Math Class! Closing the Achievement Gap on State Math Assessments

    Science.gov (United States)

    DiGisi, Lori L.; Fleming, Dianne

    2005-01-01

    Sixth and eighth grade students who are English language learners must be able to read and interpret 39 math word problems in order to successfully calculate the answers on the Massachusetts state math assessment (MCAS). The first year that MCAS was administered, many ELL students read the questions, found them confusing, and left them blank,…

  5. Math Academy: Are You Game? Explorations in Probability. Supplemental Math Materials for Grades 3-6

    Science.gov (United States)

    Rimbey, Kimberly

    2007-01-01

    Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the themed program "Are You Game? Math Academy--Explorations in Probability," which teachers can use to…

  6. Gender Compatibility, Math-Gender Stereotypes, and Self-Concepts in Math and Physics

    Science.gov (United States)

    Koul, Ravinder; Lerdpornkulrat, Thanita; Poondej, Chanut

    2016-01-01

    Positive self-assessment of ability in the quantitative domains is considered critical for student participation in science, technology, engineering, and mathematics field studies. The present study investigated associations of gender compatibility (gender typicality and contentedness) and math-gender stereotypes with self-concepts in math and…

  7. Math Anxiety and the "Math Gap": How Attitudes toward Mathematics Disadvantages Students as Early as Preschool

    Science.gov (United States)

    Geist, Eugene

    2015-01-01

    This study was conducted to examine the attitudes of Head Start teachers toward mathematics and how it may influence how and what they teach in the classroom. In general, the findings of this study can be summarized as this: 1) Math anxiety affects how teachers assess their ability at mathematics. The more math anxiety they report, the lower they…

  8. Math Is Like a Scary Movie? Helping Young People Overcome Math Anxiety

    Science.gov (United States)

    Kulkin, Margaret

    2016-01-01

    Afterschool teachers who tutor students or provide homework help have a unique opportunity to help students overcome the social or emotional barriers that so often block learning. They can embrace a creative and investigative approach to math learning. Margaret Kulkin's interest in being a math attitude "myth-buster" led her to apply to…

  9. Improving Student Achievement in Math and Science

    Science.gov (United States)

    Sullivan, Nancy G.; Hamsa, Irene Schulz; Heath, Panagiota; Perry, Robert; White, Stacy J.

    1998-01-01

    As the new millennium approaches, a long anticipated reckoning for the education system of the United States is forthcoming, Years of school reform initiatives have not yielded the anticipated results. A particularly perplexing problem involves the lack of significant improvement of student achievement in math and science. Three "Partnership" projects represent collaborative efforts between Xavier University (XU) of Louisiana, Southern University of New Orleans (SUNO), Mississippi Valley State University (MVSU), and the National Aeronautics and Space Administration (NASA), Stennis Space Center (SSC), to enhance student achievement in math and science. These "Partnerships" are focused on students and teachers in federally designated rural and urban empowerment zones and enterprise communities. The major goals of the "Partnerships" include: (1) The identification and dissemination of key indices of success that account for high performance in math and science; (2) The education of pre-service and in-service secondary teachers in knowledge, skills, and competencies that enhance the instruction of high school math and science; (3) The development of faculty to enhance the quality of math and science courses in institutions of higher education; and (4) The incorporation of technology-based instruction in institutions of higher education. These goals will be achieved by the accomplishment of the following objectives: (1) Delineate significant ?best practices? that are responsible for enhancing student outcomes in math and science; (2) Recruit and retain pre-service teachers with undergraduate degrees in Biology, Math, Chemistry, or Physics in a graduate program, culminating with a Master of Arts in Curriculum and Instruction; (3) Provide faculty workshops and opportunities for travel to professional meetings for dissemination of NASA resources information; (4) Implement methodologies and assessment procedures utilizing performance-based applications of higher order

  10. MATH77 - A LIBRARY OF MATHEMATICAL SUBPROGRAMS FOR FORTRAN 77, RELEASE 4.0

    Science.gov (United States)

    Lawson, C. L.

    1994-01-01

    MATH77 is a high quality library of ANSI FORTRAN 77 subprograms implementing contemporary algorithms for the basic computational processes of science and engineering. The portability of MATH77 meets the needs of present-day scientists and engineers who typically use a variety of computing environments. Release 4.0 of MATH77 contains 454 user-callable and 136 lower-level subprograms. Usage of the user-callable subprograms is described in 69 sections of the 416 page users' manual. The topics covered by MATH77 are indicated by the following list of chapter titles in the users' manual: Mathematical Functions, Pseudo-random Number Generation, Linear Systems of Equations and Linear Least Squares, Matrix Eigenvalues and Eigenvectors, Matrix Vector Utilities, Nonlinear Equation Solving, Curve Fitting, Table Look-Up and Interpolation, Definite Integrals (Quadrature), Ordinary Differential Equations, Minimization, Polynomial Rootfinding, Finite Fourier Transforms, Special Arithmetic , Sorting, Library Utilities, Character-based Graphics, and Statistics. Besides subprograms that are adaptations of public domain software, MATH77 contains a number of unique packages developed by the authors of MATH77. Instances of the latter type include (1) adaptive quadrature, allowing for exceptional generality in multidimensional cases, (2) the ordinary differential equations solver used in spacecraft trajectory computation for JPL missions, (3) univariate and multivariate table look-up and interpolation, allowing for "ragged" tables, and providing error estimates, and (4) univariate and multivariate derivative-propagation arithmetic. MATH77 release 4.0 is a subroutine library which has been carefully designed to be usable on any computer system that supports the full ANSI standard FORTRAN 77 language. It has been successfully implemented on a CRAY Y/MP computer running UNICOS, a UNISYS 1100 computer running EXEC 8, a DEC VAX series computer running VMS, a Sun4 series computer running Sun

  11. The role of expressive writing in math anxiety.

    Science.gov (United States)

    Park, Daeun; Ramirez, Gerardo; Beilock, Sian L

    2014-06-01

    Math anxiety is a negative affective reaction to situations involving math. Previous work demonstrates that math anxiety can negatively impact math problem solving by creating performance-related worries that disrupt the working memory needed for the task at hand. By leveraging knowledge about the mechanism underlying the math anxiety-performance relationship, we tested the effectiveness of a short expressive writing intervention that has been shown to reduce intrusive thoughts and improve working memory availability. Students (N = 80) varying in math anxiety were asked to sit quietly (control group) prior to completing difficulty-matched math and word problems or to write about their thoughts and feelings regarding the exam they were about to take (expressive writing group). For the control group, high math-anxious individuals (HMAs) performed significantly worse on the math problems than low math-anxious students (LMAs). In the expressive writing group, however, this difference in math performance across HMAs and LMAs was significantly reduced. Among HMAs, the use of words related to anxiety, cause, and insight in their writing was positively related to math performance. Expressive writing boosts the performance of anxious students in math-testing situations. PsycINFO Database Record (c) 2014 APA, all rights reserved.

  12. The new math of ownership.

    Science.gov (United States)

    Gross, B

    1998-01-01

    In 1994, when the software maker Knowledge Adventure decided to spin out a new venture--Worlds, Incorporated--founder Bill Gross expected the worst. He had argued with the board that it was in KA's best interests to maintain a controlling ownership stake in Worlds, whose powerful new software technology had enormous revenue potential. But the board prevailed, and KA took only a 20% ownership in the new company, giving the rest to Worlds' employees. Within a year, the company's performance had surpassed all expectations, and instead of owning 80% of a $5 million business, KA owned 20% of a $77 million business. The arithmetic may have been counterintuitive, but the lesson was clear. When KA let go of Worlds and gave its employees near total ownership, the company unleashed a new level of employee performance. That, in turn, led to the creation of economic value that more than made up for the equity KA had surrendered. So compelling was this "new math of ownership" that Gross founded a new company, Idealab, on this principle. The company, which develops ideas for Internet-based businesses and seeds the most promising ones, takes no more than a 49% equity stake in the new ventures and gives at least 1% of ownership to each employee. For Gross, this radical approach to ownership is the key to inspiring stellar performances. In part, employee-owners are motivated by their potential to earn great financial reward. But the drama of ownership, he argues, is even more important. In that drama, employees become personally involved in the struggle to outdo the competition and emerge victorious.

  13. Math practice and its influence on math skills and executive functions in adolescents with mild to borderline intellectual disability.

    Science.gov (United States)

    Jansen, Brenda R J; De Lange, Eva; Van der Molen, Mariët J

    2013-05-01

    Adolescents with mild to borderline intellectual disability (MBID) often complete schooling without mastering basic math skills, even though basic math is essential for math-related challenges in everyday life. Limited attention to cognitive skills and low executive functioning (EF) may cause this delay. We aimed to improve math skills in an MBID-sample using computerized math training. Also, it was investigated whether EF and math performance were related and whether computerized math training had beneficial effects on EF. The sample consisted of a total of 58 adolescents (12-15 years) from special education. Participants were randomly assigned to either the experimental group or a treatment as usual (TAU) group. In the experimental condition, participants received 5 weeks of training. Math performance and EF were assessed before and after the training period. Math performance improved equally in both groups. However, frequently practicing participants improved more than participants in the control group. Visuo-spatial memory skills were positively related to addition and subtraction skills. Transfer effects from math training to EF were absent. It is concluded that math skills may increase if a reasonable effort in practicing math skills is made. The relation between visuo-spatial memory skills provides opportunities for improving math performance. Copyright © 2013 Elsevier Ltd. All rights reserved.

  14. Math at home adds up to achievement in school.

    Science.gov (United States)

    Berkowitz, Talia; Schaeffer, Marjorie W; Maloney, Erin A; Peterson, Lori; Gregor, Courtney; Levine, Susan C; Beilock, Sian L

    2015-10-09

    With a randomized field experiment of 587 first-graders, we tested an educational intervention designed to promote interactions between children and parents relating to math. We predicted that increasing math activities at home would increase children's math achievement at school. We tested this prediction by having children engage in math story time with their parents. The intervention, short numerical story problems delivered through an iPad app, significantly increased children's math achievement across the school year compared to a reading (control) group, especially for children whose parents are habitually anxious about math. Brief, high-quality parent-child interactions about math at home help break the intergenerational cycle of low math achievement. Copyright © 2015, American Association for the Advancement of Science.

  15. Elementary School Math Instruction: Can Reading Specialists Assist?

    Science.gov (United States)

    Heinrichs, Audrey S.

    1987-01-01

    Discusses the contradictions found in recommendations for direction instruction or informal math language development, and some suggestions for practical resolution of disagreements, to enable school reading specialists to provide both background and practical help to classroom instructors teaching math. (HTH)

  16. ALPS: A Linear Program Solver

    Science.gov (United States)

    Ferencz, Donald C.; Viterna, Larry A.

    1991-01-01

    ALPS is a computer program which can be used to solve general linear program (optimization) problems. ALPS was designed for those who have minimal linear programming (LP) knowledge and features a menu-driven scheme to guide the user through the process of creating and solving LP formulations. Once created, the problems can be edited and stored in standard DOS ASCII files to provide portability to various word processors or even other linear programming packages. Unlike many math-oriented LP solvers, ALPS contains an LP parser that reads through the LP formulation and reports several types of errors to the user. ALPS provides a large amount of solution data which is often useful in problem solving. In addition to pure linear programs, ALPS can solve for integer, mixed integer, and binary type problems. Pure linear programs are solved with the revised simplex method. Integer or mixed integer programs are solved initially with the revised simplex, and the completed using the branch-and-bound technique. Binary programs are solved with the method of implicit enumeration. This manual describes how to use ALPS to create, edit, and solve linear programming problems. Instructions for installing ALPS on a PC compatible computer are included in the appendices along with a general introduction to linear programming. A programmers guide is also included for assistance in modifying and maintaining the program.

  17. Minimum-complexity helicopter simulation math model

    Science.gov (United States)

    Heffley, Robert K.; Mnich, Marc A.

    1988-01-01

    An example of a minimal complexity simulation helicopter math model is presented. Motivating factors are the computational delays, cost, and inflexibility of the very sophisticated math models now in common use. A helicopter model form is given which addresses each of these factors and provides better engineering understanding of the specific handling qualities features which are apparent to the simulator pilot. The technical approach begins with specification of features which are to be modeled, followed by a build up of individual vehicle components and definition of equations. Model matching and estimation procedures are given which enable the modeling of specific helicopters from basic data sources such as flight manuals. Checkout procedures are given which provide for total model validation. A number of possible model extensions and refinement are discussed. Math model computer programs are defined and listed.

  18. Anxiety is not enough to drive me away: A latent profile analysis on math anxiety and math motivation.

    Directory of Open Access Journals (Sweden)

    Zhe Wang

    Full Text Available Mathematics anxiety (MA and mathematics motivation (MM are important multi-dimensional non-cognitive factors in mathematics learning. While the negative relation between global MA and MM is well replicated, the relations between specific dimensions of MA and MM are largely unexplored. The present study utilized latent profile analysis to explore profiles of various aspects of MA (including learning MA and exam MA and MM (including importance, self-perceived ability, and interest, to provide a more holistic understanding of the math-specific emotion and motivation experiences. In a sample of 927 high school students (13-21 years old, we found 8 distinct profiles characterized by various combinations of dimensions of MA and MM, revealing the complexity in the math-specific emotion-motivation relation beyond a single negative correlation. Further, these profiles differed on mathematics learning behaviors and mathematics achievement. For example, the highest achieving students reported modest exam MA and high MM, whereas the most engaged students were characterized by a combination of high exam MA and high MM. These results call for the need to move beyond linear relations among global constructs to address the complexity in the emotion-motivation-cognition interplay in mathematics learning, and highlight the importance of customized intervention for these heterogeneous groups.

  19. Anxiety is not enough to drive me away: A latent profile analysis on math anxiety and math motivation

    Science.gov (United States)

    Shakeshaft, Nicholas; Schofield, Kerry; Malanchini, Margherita

    2018-01-01

    Mathematics anxiety (MA) and mathematics motivation (MM) are important multi-dimensional non-cognitive factors in mathematics learning. While the negative relation between global MA and MM is well replicated, the relations between specific dimensions of MA and MM are largely unexplored. The present study utilized latent profile analysis to explore profiles of various aspects of MA (including learning MA and exam MA) and MM (including importance, self-perceived ability, and interest), to provide a more holistic understanding of the math-specific emotion and motivation experiences. In a sample of 927 high school students (13–21 years old), we found 8 distinct profiles characterized by various combinations of dimensions of MA and MM, revealing the complexity in the math-specific emotion-motivation relation beyond a single negative correlation. Further, these profiles differed on mathematics learning behaviors and mathematics achievement. For example, the highest achieving students reported modest exam MA and high MM, whereas the most engaged students were characterized by a combination of high exam MA and high MM. These results call for the need to move beyond linear relations among global constructs to address the complexity in the emotion-motivation-cognition interplay in mathematics learning, and highlight the importance of customized intervention for these heterogeneous groups. PMID:29444137

  20. Anxiety is not enough to drive me away: A latent profile analysis on math anxiety and math motivation.

    Science.gov (United States)

    Wang, Zhe; Shakeshaft, Nicholas; Schofield, Kerry; Malanchini, Margherita

    2018-01-01

    Mathematics anxiety (MA) and mathematics motivation (MM) are important multi-dimensional non-cognitive factors in mathematics learning. While the negative relation between global MA and MM is well replicated, the relations between specific dimensions of MA and MM are largely unexplored. The present study utilized latent profile analysis to explore profiles of various aspects of MA (including learning MA and exam MA) and MM (including importance, self-perceived ability, and interest), to provide a more holistic understanding of the math-specific emotion and motivation experiences. In a sample of 927 high school students (13-21 years old), we found 8 distinct profiles characterized by various combinations of dimensions of MA and MM, revealing the complexity in the math-specific emotion-motivation relation beyond a single negative correlation. Further, these profiles differed on mathematics learning behaviors and mathematics achievement. For example, the highest achieving students reported modest exam MA and high MM, whereas the most engaged students were characterized by a combination of high exam MA and high MM. These results call for the need to move beyond linear relations among global constructs to address the complexity in the emotion-motivation-cognition interplay in mathematics learning, and highlight the importance of customized intervention for these heterogeneous groups.

  1. Essential math and calculations for pharmacy technicians

    CERN Document Server

    Reddy, Indra K

    2003-01-01

    Working with Roman and Arabic NumeralsUsing Fractions and Decimals in Pharmacy MathUsing Ratios, Proportions and Percentages in Dosage CalculationsApplying Systems of MeasurementsInterpreting Medication OrdersIdentifying Prescription Errors and OmissionsWorking with Liquid Dosage FormsWorking with Solid Dosage FormsAdjusting IsotonicityWorking with Buffer and Ionization ValuesDealing with ReconstitutionsDetermining Milliequivalent StrengthsCalculating Caloric Values Determining IV Flow RatesWorking with Insulin and Heparin ProductsAppendices: A: Working with Temperature ConversionsB: Working with Capsule Dosage FormsC: Dealing with Pediatric Dosages D: Understanding Essential Business Math.

  2. Universal Beliefs and Specific Practices: Students' Math Self-Efficacy and Related Factors in the United States and China

    Science.gov (United States)

    Wu, Yin

    2016-01-01

    This study intends to compare and contrast student and school factors that are associated with students' mathematics self-efficacy in the United States and China. Using hierarchical linear regressions to analyze the Programme for International Student Assessment (PISA) 2012 data, this study compares math self-efficacy, achievement, and variables…

  3. Supporting English Language Learners in Math Class, Grades K-2

    Science.gov (United States)

    Bresser, Rusty; Melanese, Kathy; Sphar, Christine

    2009-01-01

    More than 10 percent of the students in our nation's public schools are English language learners, and this number grows each year. Many of these students are falling behind in math. "Supporting English Language Learners in Math Class, Grades K-2" outlines the challenges ELL students face when learning math and provides a wealth of specific…

  4. Firefighter Math - a web-based learning tool

    Science.gov (United States)

    Dan Jimenez

    2010-01-01

    Firefighter Math is a web based interactive resource that was developed to help prepare wildland fire personnel for math based training courses. The website can also be used as a refresher for fire calculations including slope, flame length, relative humidity, flow rates, unit conversion, etc. The website is designed to start with basic math refresher skills and...

  5. Specific Cognitive Predictors of Early Math Problem Solving

    Science.gov (United States)

    Decker, Scott L.; Roberts, Alycia M.

    2015-01-01

    Development of early math skill depends on a prerequisite level of cognitive development. Identification of specific cognitive skills that are important for math development may not only inform instructional approaches but also inform assessment approaches to identifying children with specific learning problems in math. This study investigated the…

  6. Mathematizing: An Emergent Math Curriculum Approach for Young Children

    Science.gov (United States)

    Rosales, Allen C.

    2015-01-01

    Based on years of research with early childhood teachers, author Allen Rosales provides an approach to create an emergent math curriculum that integrates children's interests with math concepts. The mathematizing approach is different from traditional math curriculums, as it immerses children in a process that is designed to develop their…

  7. Learning to Be a Math Teacher: What Knowledge Is Essential?

    Science.gov (United States)

    Reid, Mary; Reid, Steven

    2017-01-01

    This study critically examined the math content knowledge (MCK) of teacher candidates (TCs) enrolled in a two-year Master of Teaching (MT) degree. Teachers require a solid math knowledge base in order to support students' achievement. Provincial and international math assessments have been of major concern in Ontario, Canada, due to declining…

  8. Formula for Success: Engaging Families in Early Math Learning

    Science.gov (United States)

    Global Family Research Project, 2017

    2017-01-01

    Early math ability is one of the best predictors of children's later success in school. Because children's learning begins in the home, families are fundamental in shaping children's interest and skills in math. The experience of learning and doing math, however, looks different from the instruction that was offered when most adults were in…

  9. How to Make the Most of Math Manipulatives.

    Science.gov (United States)

    Burns, Marilyn

    1996-01-01

    A discussion of how to use math manipulatives to teach elementary students focuses on essential program elements: what math manipulatives are and why they are used, common questions about math manipulatives, how one teacher introduced the geoboard into the classroom, and pattern block activities. (SM)

  10. District Finds the Right Equation to Improve Math Instruction

    Science.gov (United States)

    Holmstrom, Annette

    2010-01-01

    The math problem is common to most U.S. school districts, and education leaders are well aware that U.S. math achievement lags far behind many other countries in the world. University Place (Washington) School District Superintendent Patti Banks found the conspicuous income gap for math scores even more disturbing. In her school district, only 23%…

  11. Impact of Math Snacks Games on Students' Conceptual Understanding

    Science.gov (United States)

    Winburg, Karin; Chamberlain, Barbara; Valdez, Alfred; Trujillo, Karen; Stanford, Theodore B.

    2016-01-01

    This "Math Snacks" intervention measured 741 fifth grade students' gains in conceptual understanding of core math concepts after game-based learning activities. Teachers integrated four "Math Snacks" games and related activities into instruction on ratios, coordinate plane, number systems, fractions and decimals. Using a…

  12. The Sum of All Fears: The Effects of Math Anxiety on Math Achievement in Fifth Grade Students and the Implications for School Counselors

    Science.gov (United States)

    Ruff, Sarah E.; Boes, Susan R.

    2014-01-01

    Low math achievement is a recurring weakness in many students. Math anxiety is a persistent and significant theme to math avoidance and low achievement. Causes for math anxiety include social, cognitive, and academic factors. Interventions to reduce math anxiety are limited as they exclude the expert skills of professional school counselors to…

  13. Hands-On Math and Art Exhibition Promoting Science Attitudes and Educational Plans

    Directory of Open Access Journals (Sweden)

    Helena Thuneberg

    2017-01-01

    Full Text Available The current science, technology, engineering, art, math education (STEAM approach emphasizes integration of abstract science and mathematical ideas for concrete solutions by art. The main aim was to find out how experience of learning mathematics differed between the contexts of school and an informal Math and Art Exhibition. The study participants (N=256 were 12-13 years old from Finland. Several valid questionnaires and tests were applied (e.g., SRQ-A, RAVEN in pre- and postdesign showing a good reliability. The results based on General Linear Modeling and Structural Equation Path Modeling underline the motivational effects. The experience of the effectiveness of hands-on learning at school and at the exhibition was not consistent across the subgroups. The lowest achieving group appreciated the exhibition alternative for math learning compared to learning math at school. The boys considered the exhibition to be more useful than the girls as it fostered their science and technology attitudes. However, for the girls, the attractiveness of the exhibition, the experienced situation motivation, was much more strongly connected to the attitudes on science and technology and the worthiness of mathematics. Interestingly, the pupils experienced that even this short informal learning intervention affected their science and technology attitudes and educational plans.

  14. Math practice and its influence on math skills and executive functions in adolescents with mild to borderline intellectual disability

    NARCIS (Netherlands)

    Jansen, B.R.J.; Lange, E.; van der Molen, M.J.

    2013-01-01

    Adolescents with mild to borderline intellectual disability (MBID) often complete schooling without mastering basic math skills, even though basic math is essential for math-related challenges in everyday life. Limited attention to cognitive skills and low executive functioning (EF) may cause this

  15. Opportunities for Learning Math in Elementary School: Implications for SES Disparities in Procedural and Conceptual Math Skills

    Science.gov (United States)

    Bachman, Heather J.; Votruba-Drzal, Elizabeth; El Nokali, Nermeen E.; Castle Heatly, Melissa

    2015-01-01

    The present study examined whether multiple opportunities to learn math were associated with smaller socioeconomic status (SES) disparities in fifth-grade math achievement using data from the NICHD Study of Early Child Care and Youth Development (SECCYD; N = 1,364). High amounts of procedural math instruction were associated with higher…

  16. Developmental Math Programs in California Community College: An Analysis of Math Boot Camp at Cosumnes River College

    Science.gov (United States)

    Powell, Torence J.

    2017-01-01

    The California Community College system, as an open access institution, is tasked with helping students who possess math skills far below college-level complete math course requirements for obtaining an associate degree or transfer to a university. Colleges have created various developmental math programs to achieve this mission; this paper…

  17. Order of Administration of Math and Verbal Tests: An Ecological Intervention to Reduce Stereotype Threat on Girls' Math Performance

    Science.gov (United States)

    Smeding, Annique; Dumas, Florence; Loose, Florence; Régner, Isabelle

    2013-01-01

    In 2 field experiments, we relied on the very features of real testing situations--where both math and verbal tests are administered--to examine whether order of test administration can, by itself, create vs. alleviate stereotype threat (ST) effects on girls' math performance. We predicted that taking the math test before the verbal test would be…

  18. Effects of Math Anxiety and Perfectionism on Timed versus Untimed Math Testing in Mathematically Gifted Sixth Graders

    Science.gov (United States)

    Tsui, Joanne M.; Mazzocco, Michele M. M.

    2006-01-01

    This study was designed to examine the effects of math anxiety and perfectionism on math performance, under timed testing conditions, among mathematically gifted sixth graders. We found that participants had worse math performance during timed versus untimed testing, but this difference was statistically significant only when the timed condition…

  19. Linear gate

    International Nuclear Information System (INIS)

    Suwono.

    1978-01-01

    A linear gate providing a variable gate duration from 0,40μsec to 4μsec was developed. The electronic circuity consists of a linear circuit and an enable circuit. The input signal can be either unipolar or bipolar. If the input signal is bipolar, the negative portion will be filtered. The operation of the linear gate is controlled by the application of a positive enable pulse. (author)

  20. Linear Accelerators

    International Nuclear Information System (INIS)

    Vretenar, M

    2014-01-01

    The main features of radio-frequency linear accelerators are introduced, reviewing the different types of accelerating structures and presenting the main characteristics aspects of linac beam dynamics

  1. Interactive geometry inside MathDox

    NARCIS (Netherlands)

    Cuypers, H.; Hendriks, M.; Knopper, J.W.

    2010-01-01

    In this paper we describe how we envision using interactive geometry inside MathDox pages. In particular, by some examples we discuss how users and mathematical services (offered by various mathematical software packages) can interact with the geometric objects available. This not only includes

  2. What Adds Up?: Math Enrollment and Graduation

    Science.gov (United States)

    Utah System of Higher Education, 2015

    2015-01-01

    College students struggling to pass a college level math course required for Quantitative Literacy (QL) credit1 has been a common issue facing many institutions in higher education. In the fall of 2014, the Utah State Board of Regents solidified a statewide initiative that set goals for each of the Utah System of Higher Education institutions (UU,…

  3. ADP Security Plan, Math Building, Room 1139

    Energy Technology Data Exchange (ETDEWEB)

    Melton, R.

    1985-08-27

    This document provides the draft copy of an updated (ADP) Security Plan for an IBM Personal Computer to be used in the Math Building at PNL for classified data base management. Using the equipment specified in this document and implementing the administrative and physical procedures as outlined will provide the secure environment necessary for this work to proceed.

  4. Admission Math Level and Student Performance

    DEFF Research Database (Denmark)

    la Cour, Lisbeth

    2015-01-01

    In this paper we analyze the study performance data for three cohorts of students for the course in Economics at the Business Diploma (herafter HD) study program at Copenhagen Business School. Out main findings are 1) that students with the lowest level of math from high school are performing worse...

  5. Confessions of a Dr Math tutor

    CSIR Research Space (South Africa)

    Butgereit, L

    2015-06-01

    Full Text Available Mathematics look different on a small 3-inch screen of an inexpensive cell phone when compared to a 3-meter whiteboard in a mathematics classroom. Dr Math uses cell phone or mobile data "chat" technologies to assist primary and secondary school...

  6. Early math intervention for marginalized students

    DEFF Research Database (Denmark)

    Overgaard, Steffen; Tonnesen, Pia Beck

    2016-01-01

    This study is one of more substudies in the project Early Math Intervention for Marginalized Students (TMTM2014). The paper presents the initial process of this substudy that will be carried out fall 2015. In the TMTM2014 project, 80 teachers, who completed a one week course in the idea of TMTM...

  7. Fold in Origami and Unfold Math

    Science.gov (United States)

    Georgeson, Joseph

    2011-01-01

    Students enjoy origami and like making everything from paper cranes to footballs out of small, colorful squares of paper. They can invent their own shapes and are intrigued by the polyhedrons that they can construct. Paper folding is fun, but where is the math? Unless teachers develop lessons that address mathematical objectives, origami could be…

  8. Math on the Job. Metal Product Assembler.

    Science.gov (United States)

    Ohio State Univ., Columbus. National Center for Research in Vocational Education.

    This booklet is intended to help mainstreamed mentally retarded, emotionally disturbed, or learning disabled high school students acquire a basic understanding of the responsibilities and working conditions of metal product assemblers and to practice basic math skills necessary in the occupation. The first section provides a brief introduction to…

  9. Ideas on Manipulative Math for Young Children.

    Science.gov (United States)

    Murray, Anne

    2001-01-01

    Presents a case study of one kindergarten class in which the mathematics center is the popular area in the room. Focuses on how math is best understood if activities follow the five-C formula: collaborative, concrete, comprehensive, connecting, and cavorting. Describes how children used manipulatives to construct mathematics concepts…

  10. The Demise of the Asian Math Gene.

    Science.gov (United States)

    Bracey, Gerald W.

    1999-01-01

    The 1996 National Assessment of Educational Progress math scores for eighth-graders show that when socioeconomic status is considered, English-proficient Asian students have no achievement advantage over other ethnic groups. However, Chinese sixth-graders, using abstract reasoning skills, outperformed American students on 12 open-ended math…

  11. MIT professor wins major international math prize

    CERN Multimedia

    Allen, S

    2004-01-01

    Mathematicians Isadore Singer of MIT and Sir Michael Francis Atiyah of the University of Edinburgh will share an $875,000 award as winners of the second Abel Prize, which some hope will come to be seen as a Nobel Prize for math.

  12. Online Options for Math-Advanced Students

    Science.gov (United States)

    Wessling, Suki

    2012-01-01

    Once upon a time, a student well advanced past grade level in math would have had few choices. Advanced students would invariably outpace the skills of their elementary teachers, and due to age wouldn't have options such as going to the middle school or community college for classes. Soon thereafter, students would enter middle school only to find…

  13. Relationship between Affective Dimension and Math Learning

    Directory of Open Access Journals (Sweden)

    Ronny Gamboa Araya

    2014-05-01

    Full Text Available Math has become an obstacle to achieve educational goals for a large number of students; thus it has transcended the academic world and has become a cognitive and emotional impairment.  What students feel, perceive, believe, and how they act directly influences this.  In addition, what teachers feel and perceive, their expectations, beliefs and attitudes towards the discipline also play an important role in how they teach and in the affective dimension of their students.  Based on theoretical aspects from various authors, this paper is aimed at addressing some elements regarding the affective dimension, and at showing elements pertaining to teachers and students, and their relationship with math learning and teaching.  It was concluded that the role of the affective dimension in math learning must be addressed by math educators in order to understand the process from the perspective of the actors associated with it, both students and teachers, as well as to achieve a change in the discipline by improving the beliefs and attitudes of students and teachers.

  14. New Mexico Math Pathways Taskforce Report

    Science.gov (United States)

    New Mexico Higher Education Department, 2016

    2016-01-01

    In April 2015 New Mexico faculty, Dana Center staff, and New Mexico Higher Education (NMHED) co-presented the need for better math pathways statewide. Faculty from 6 institutions (New Mexico State University, New Mexico Highlands University, Dine College, Eastern New Mexico University, El Paso Community College, and San Juan College) participated…

  15. Tic Tac Toe Math. Train the Trainer.

    Science.gov (United States)

    Center for Alternative Learning, Bryn Mawr, PA.

    This report describes a project that developed a "Train the Trainer" program that would enable individuals to learn and teach the alternative instructional technique, Tic Tac Toe Math, developed by Richard Cooper for adult basic education students. The pilot workshop conducted as part of the project identified problems that traditional…

  16. Basic math and pre-algebra practice problems for dummies

    CERN Document Server

    Zegarelli, Mark

    2013-01-01

    1001 Basic Math & Pre- Algebra Practice Problems For  Dummies   Practice makes perfect-and helps deepen your understanding of basic math and pre-algebra 1001 Basic Math & Pre-Algebra Practice Problems For Dummies, with free access to online practice problems, takes you beyond the instruction and guidance offered in Basic Math & Pre-Algebra For Dummies, giving you 1,001 opportunities to practice solving problems from the major topics in your math course. You begin with some basic arithmetic practice, move on to fractions, decimals, and per

  17. Avoiding math on a rapid timescale: Emotional responsivity and anxious attention in math anxiety.

    Science.gov (United States)

    Pizzie, Rachel G; Kraemer, David J M

    2017-11-01

    Math anxiety (MA) is characterized by negative feelings towards mathematics, resulting in avoidance of math classes and of careers that rely on mathematical skills. Focused on a long timescale, this research may miss important cognitive and affective processes that operate moment-to-moment, changing rapid reactions even when a student simply sees a math problem. Here, using fMRI with an attentional deployment paradigm, we show that MA influences rapid spontaneous emotional and attentional responses to mathematical stimuli upon brief presentation. Critically, participants viewed but did not attempt to solve the problems. Indicating increased threat reactivity to even brief presentations of math problems, increased MA was associated with increased amygdala response during math viewing trials. Functionally and anatomically defined amygdala ROIs yielded similar results, indicating robustness of the finding. Similar to the pattern of vigilance and avoidance observed in specific phobia, behavioral results of the attentional paradigm demonstrated that MA is associated with attentional disengagement for mathematical symbols. This attentional avoidance is specific to math stimuli; when viewing negatively-valenced images, MA is correlated with attentional engagement, similar to other forms of anxiety. These results indicate that even brief exposure to mathematics triggers a neural response related to threat avoidance in highly MA individuals. Copyright © 2017 Elsevier Inc. All rights reserved.

  18. Linearization Method and Linear Complexity

    Science.gov (United States)

    Tanaka, Hidema

    We focus on the relationship between the linearization method and linear complexity and show that the linearization method is another effective technique for calculating linear complexity. We analyze its effectiveness by comparing with the logic circuit method. We compare the relevant conditions and necessary computational cost with those of the Berlekamp-Massey algorithm and the Games-Chan algorithm. The significant property of a linearization method is that it needs no output sequence from a pseudo-random number generator (PRNG) because it calculates linear complexity using the algebraic expression of its algorithm. When a PRNG has n [bit] stages (registers or internal states), the necessary computational cost is smaller than O(2n). On the other hand, the Berlekamp-Massey algorithm needs O(N2) where N(≅2n) denotes period. Since existing methods calculate using the output sequence, an initial value of PRNG influences a resultant value of linear complexity. Therefore, a linear complexity is generally given as an estimate value. On the other hand, a linearization method calculates from an algorithm of PRNG, it can determine the lower bound of linear complexity.

  19. Neural correlates of math anxiety – an overview and implications

    Science.gov (United States)

    Artemenko, Christina; Daroczy, Gabriella; Nuerk, Hans-Christoph

    2015-01-01

    Math anxiety is a common phenomenon which can have a negative impact on numerical and arithmetic performance. However, so far little is known about the underlying neurocognitive mechanisms. This mini review provides an overview of studies investigating the neural correlates of math anxiety which provide several hints regarding its influence on math performance: while behavioral studies mostly observe an influence of math anxiety on difficult math tasks, neurophysiological studies show that processing efficiency is already affected in basic number processing. Overall, the neurocognitive literature suggests that (i) math anxiety elicits emotion- and pain-related activation during and before math activities, (ii) that the negative emotional response to math anxiety impairs processing efficiency, and (iii) that math deficits triggered by math anxiety may be compensated for by modulating the cognitive control or emotional regulation network. However, activation differs strongly between studies, depending on tasks, paradigms, and samples. We conclude that neural correlates can help to understand and explore the processes underlying math anxiety, but the data are not very consistent yet. PMID:26388824

  20. Neural correlates of math anxiety - an overview and implications.

    Science.gov (United States)

    Artemenko, Christina; Daroczy, Gabriella; Nuerk, Hans-Christoph

    2015-01-01

    Math anxiety is a common phenomenon which can have a negative impact on numerical and arithmetic performance. However, so far little is known about the underlying neurocognitive mechanisms. This mini review provides an overview of studies investigating the neural correlates of math anxiety which provide several hints regarding its influence on math performance: while behavioral studies mostly observe an influence of math anxiety on difficult math tasks, neurophysiological studies show that processing efficiency is already affected in basic number processing. Overall, the neurocognitive literature suggests that (i) math anxiety elicits emotion- and pain-related activation during and before math activities, (ii) that the negative emotional response to math anxiety impairs processing efficiency, and (iii) that math deficits triggered by math anxiety may be compensated for by modulating the cognitive control or emotional regulation network. However, activation differs strongly between studies, depending on tasks, paradigms, and samples. We conclude that neural correlates can help to understand and explore the processes underlying math anxiety, but the data are not very consistent yet.

  1. Neural correlates of math anxiety – An overview and implications

    Directory of Open Access Journals (Sweden)

    Christina eArtemenko

    2015-09-01

    Full Text Available Math anxiety is a common phenomenon which can have a negative impact on numerical and arithmetic performance. However, so far little is known about the underlying neurocognitive mechanisms. This mini review provides an overview of studies investigating the neural correlates of math anxiety which provide several hints regarding its influence on math performance: while behavioral studies mostly observe an influence of math anxiety on difficult math tasks, neurophysiological studies show that processing efficiency is already affected in basic number processing. Overall, the neurocognitive literature suggests that (i math anxiety elicits emotion- and pain-related activation during and before math activities, (ii that the negative emotional response to math anxiety impairs processing efficiency, and (iii that math deficits triggered by math anxiety may be compensated for by modulating the cognitive control or emotional regulation network. However, activation differs strongly between studies, depending on tasks, paradigms and samples. We conclude that neural correlates can help to understand and explore the processes underlying math anxiety, but the data are not very consistent yet.

  2. Linear algebra

    CERN Document Server

    Said-Houari, Belkacem

    2017-01-01

    This self-contained, clearly written textbook on linear algebra is easily accessible for students. It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. It then offers a detailed chapter on determinants and introduces the main ideas with detailed proofs. The third chapter introduces the Euclidean spaces using very simple geometric ideas and discusses various major inequalities and identities. These ideas offer a solid basis for understanding general Hilbert spaces in functional analysis. The following two chapters address general vector spaces, including some rigorous proofs to all the main results, and linear transformation: areas that are ignored or are poorly explained in many textbooks. Chapter 6 introduces the idea of matrices using linear transformation, which is easier to understand than the usual theory of matrices approach. The final two chapters are more advanced, introducing t...

  3. Changes in Levels of Math Anxiety in Pre-Service Primary School Teachers

    Directory of Open Access Journals (Sweden)

    Juan Francisco Ruiz Hidalgo

    2016-12-01

    Full Text Available Various investigations study high levels of math anxiety of preservice teachers and possible strategies to reduce them. Assuming that the training methodology influences these levels, we analyzed the evolution of mathematics anxiety of undergraduates in Primary Education of the University of Granada, due to the use of manipulatives in the classroom math practices. We perform an exploratory and descriptive, by using a questionnaire that measures the level of anxiety of 227 students. Eight of them were selected and monitored by audio recordings and interviews. The mean level of anxiety puts undergraduates at an average level of math anxiety. The subjects expressed the perception that practical sessions allow a reduction of mathematics anxiety, suggesting that this reduction is due to the use of a different traditional methodology.Since we detect a favorable evolution in math anxiety manifested as subjects become more involved in cooperative working and with manipulatives, we conjecture that working with this type of active methodology has strengthened its security to their performance in mathematics.

  4. Effects of Math Anxiety and Perfectionism on Timed versus Untimed Math Testing in Mathematically Gifted Sixth Graders

    Science.gov (United States)

    Tsui, Joanne M.; Mazzocco, Michèle M. M.

    2009-01-01

    This study was designed to examine the effects of math anxiety and perfectionism on math performance, under timed testing conditions, among mathematically gifted sixth graders. We found that participants had worse math performance during timed versus untimed testing, but this difference was statistically significant only when the timed condition preceded the untimed condition. We also found that children with higher levels of either math anxiety or perfectionism had a smaller performance discrepancy during timed versus untimed testing, relative to children with lower levels of math anxiety or perfectionism. There were no statistically significant gender differences in overall test performance, nor in levels of math anxiety or perfectionism; however, the difference between performance on timed and untimed math testing was statistically significant for girls, but not for boys. Implications for educators are discussed. PMID:20084180

  5. Using Cognitive Tutor Software in Learning Linear Algebra Word Concept

    Science.gov (United States)

    Yang, Kai-Ju

    2015-01-01

    This paper reports on a study of twelve 10th grade students using Cognitive Tutor, a math software program, to learn linear algebra word concept. The study's purpose was to examine whether students' mathematics performance as it is related to using Cognitive Tutor provided evidence to support Koedlinger's (2002) four instructional principles used…

  6. Linear algebra

    CERN Document Server

    Stoll, R R

    1968-01-01

    Linear Algebra is intended to be used as a text for a one-semester course in linear algebra at the undergraduate level. The treatment of the subject will be both useful to students of mathematics and those interested primarily in applications of the theory. The major prerequisite for mastering the material is the readiness of the student to reason abstractly. Specifically, this calls for an understanding of the fact that axioms are assumptions and that theorems are logical consequences of one or more axioms. Familiarity with calculus and linear differential equations is required for understand

  7. The Math–Biology Values Instrument: Development of a Tool to Measure Life Science Majors’ Task Values of Using Math in the Context of Biology

    Science.gov (United States)

    Andrews, Sarah E.; Runyon, Christopher; Aikens, Melissa L.

    2017-01-01

    In response to calls to improve the quantitative training of undergraduate biology students, there have been increased efforts to better integrate math into biology curricula. One challenge of such efforts is negative student attitudes toward math, which are thought to be particularly prevalent among biology students. According to theory, students’ personal values toward using math in a biological context will influence their achievement and behavioral outcomes, but a validated instrument is needed to determine this empirically. We developed the Math–Biology Values Instrument (MBVI), an 11-item college-level self-­report instrument grounded in expectancy-value theory, to measure life science students’ interest in using math to understand biology, the perceived usefulness of math to their life science career, and the cost of using math in biology courses. We used a process that integrates multiple forms of validity evidence to show that scores from the MBVI can be used as a valid measure of a student’s value of math in the context of biology. The MBVI can be used by instructors and researchers to help identify instructional strategies that influence math–biology values and understand how math–biology values are related to students’ achievement and decisions to pursue more advanced quantitative-based courses. PMID:28747355

  8. "It Was My Understanding That There Would Be No Math": Using Thematic Cases to Teach Undergraduate Research Methods

    Science.gov (United States)

    Oldmixon, Elizabeth A.

    2018-01-01

    Undergraduates frequently approach research methods classes with trepidation and skepticism, owing in part to math-phobia and confusion over how methodology is relevant to their interests. These self-defeating barriers to learning undermine the efficacy of methods classes. This essay discusses a strategy for overcoming these barriers--use of a…

  9. A Quasi-Experimental Study Investigating the Effect of Scent on Students' Memory of Multiplication Facts and Math Anxiety

    Science.gov (United States)

    Leap, Evelyn M.

    2013-01-01

    This quasi-experimental study was conducted with two fifth grade classrooms to investigate the effect of scent on students' acquisition and retention of multiplication facts and math anxiety. Forty participants received daily instruction for nine weeks, using a strategy-rich multiplication program called Factivation. Students in the Double Smencil…

  10. Linear programming

    CERN Document Server

    Solow, Daniel

    2014-01-01

    This text covers the basic theory and computation for a first course in linear programming, including substantial material on mathematical proof techniques and sophisticated computation methods. Includes Appendix on using Excel. 1984 edition.

  11. Linear algebra

    CERN Document Server

    Liesen, Jörg

    2015-01-01

    This self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof. Throughout the development, the applicability of the results is highlighted. Additionally, the book presents special topics from applied linear algebra including matrix functions, the singular value decomposition, the Kronecker product and linear matrix equations. The matrix-oriented approach to linear algebra leads to a better intuition and a deeper understanding of the abstract concepts, and therefore simplifies their use in real world applications. Some of these applications are presented in detailed examples. In several ‘MATLAB-Minutes’ students can comprehend the concepts and results using computational experiments. Necessary basics for the use of MATLAB are presented in a short introduction. Students can also actively work with the material and practice their mathematical skills in more than 300 exerc...

  12. Linear algebra

    CERN Document Server

    Berberian, Sterling K

    2014-01-01

    Introductory treatment covers basic theory of vector spaces and linear maps - dimension, determinants, eigenvalues, and eigenvectors - plus more advanced topics such as the study of canonical forms for matrices. 1992 edition.

  13. Linear Models

    CERN Document Server

    Searle, Shayle R

    2012-01-01

    This 1971 classic on linear models is once again available--as a Wiley Classics Library Edition. It features material that can be understood by any statistician who understands matrix algebra and basic statistical methods.

  14. LINEAR ACCELERATOR

    Science.gov (United States)

    Christofilos, N.C.; Polk, I.J.

    1959-02-17

    Improvements in linear particle accelerators are described. A drift tube system for a linear ion accelerator reduces gap capacity between adjacent drift tube ends. This is accomplished by reducing the ratio of the diameter of the drift tube to the diameter of the resonant cavity. Concentration of magnetic field intensity at the longitudinal midpoint of the external sunface of each drift tube is reduced by increasing the external drift tube diameter at the longitudinal center region.

  15. Worrying Thoughts Limit Working Memory Capacity in Math Anxiety.

    Science.gov (United States)

    Shi, Zhan; Liu, Peiru

    2016-01-01

    Sixty-one high-math-anxious persons and sixty-one low-math-anxious persons completed a modified working memory capacity task, designed to measure working memory capacity under a dysfunctional math-related context and working memory capacity under a valence-neutral context. Participants were required to perform simple tasks with emotionally benign material (i.e., lists of letters) over short intervals while simultaneously reading and making judgments about sentences describing dysfunctional math-related thoughts or sentences describing emotionally-neutral facts about the world. Working memory capacity for letters under the dysfunctional math-related context, relative to working memory capacity performance under the valence-neutral context, was poorer overall in the high-math-anxious group compared with the low-math-anxious group. The findings show a particular difficulty employing working memory in math-related contexts in high-math-anxious participants. Theories that can provide reasonable interpretations for these findings and interventions that can reduce anxiety-induced worrying intrusive thoughts or improve working memory capacity for math anxiety are discussed.

  16. Simple arithmetic: not so simple for highly math anxious individuals.

    Science.gov (United States)

    Chang, Hyesang; Sprute, Lisa; Maloney, Erin A; Beilock, Sian L; Berman, Marc G

    2017-12-01

    Fluency with simple arithmetic, typically achieved in early elementary school, is thought to be one of the building blocks of mathematical competence. Behavioral studies with adults indicate that math anxiety (feelings of tension or apprehension about math) is associated with poor performance on cognitively demanding math problems. However, it remains unclear whether there are fundamental differences in how high and low math anxious individuals approach overlearned simple arithmetic problems that are less reliant on cognitive control. The current study used functional magnetic resonance imaging to examine the neural correlates of simple arithmetic performance across high and low math anxious individuals. We implemented a partial least squares analysis, a data-driven, multivariate analysis method to measure distributed patterns of whole-brain activity associated with performance. Despite overall high simple arithmetic performance across high and low math anxious individuals, performance was differentially dependent on the fronto-parietal attentional network as a function of math anxiety. Specifically, low-compared to high-math anxious individuals perform better when they activate this network less-a potential indication of more automatic problem-solving. These findings suggest that low and high math anxious individuals approach even the most fundamental math problems differently. © The Author (2017). Published by Oxford University Press.

  17. Worrying Thoughts Limit Working Memory Capacity in Math Anxiety.

    Directory of Open Access Journals (Sweden)

    Zhan Shi

    Full Text Available Sixty-one high-math-anxious persons and sixty-one low-math-anxious persons completed a modified working memory capacity task, designed to measure working memory capacity under a dysfunctional math-related context and working memory capacity under a valence-neutral context. Participants were required to perform simple tasks with emotionally benign material (i.e., lists of letters over short intervals while simultaneously reading and making judgments about sentences describing dysfunctional math-related thoughts or sentences describing emotionally-neutral facts about the world. Working memory capacity for letters under the dysfunctional math-related context, relative to working memory capacity performance under the valence-neutral context, was poorer overall in the high-math-anxious group compared with the low-math-anxious group. The findings show a particular difficulty employing working memory in math-related contexts in high-math-anxious participants. Theories that can provide reasonable interpretations for these findings and interventions that can reduce anxiety-induced worrying intrusive thoughts or improve working memory capacity for math anxiety are discussed.

  18. Non-linear multivariate and multiscale monitoring and signal denoising strategy using Kernel Principal Component Analysis combined with Ensemble Empirical Mode Decomposition method

    Science.gov (United States)

    Žvokelj, Matej; Zupan, Samo; Prebil, Ivan

    2011-10-01

    The article presents a novel non-linear multivariate and multiscale statistical process monitoring and signal denoising method which combines the strengths of the Kernel Principal Component Analysis (KPCA) non-linear multivariate monitoring approach with the benefits of Ensemble Empirical Mode Decomposition (EEMD) to handle multiscale system dynamics. The proposed method which enables us to cope with complex even severe non-linear systems with a wide dynamic range was named the EEMD-based multiscale KPCA (EEMD-MSKPCA). The method is quite general in nature and could be used in different areas for various tasks even without any really deep understanding of the nature of the system under consideration. Its efficiency was first demonstrated by an illustrative example, after which the applicability for the task of bearing fault detection, diagnosis and signal denosing was tested on simulated as well as actual vibration and acoustic emission (AE) signals measured on purpose-built large-size low-speed bearing test stand. The positive results obtained indicate that the proposed EEMD-MSKPCA method provides a promising tool for tackling non-linear multiscale data which present a convolved picture of many events occupying different regions in the time-frequency plane.

  19. An IBM PC-based math model for space station solar array simulation

    Science.gov (United States)

    Emanuel, E. M.

    1986-01-01

    This report discusses and documents the design, development, and verification of a microcomputer-based solar cell math model for simulating the Space Station's solar array Initial Operational Capability (IOC) reference configuration. The array model is developed utilizing a linear solar cell dc math model requiring only five input parameters: short circuit current, open circuit voltage, maximum power voltage, maximum power current, and orbit inclination. The accuracy of this model is investigated using actual solar array on orbit electrical data derived from the Solar Array Flight Experiment/Dynamic Augmentation Experiment (SAFE/DAE), conducted during the STS-41D mission. This simulator provides real-time simulated performance data during the steady state portion of the Space Station orbit (i.e., array fully exposed to sunlight). Eclipse to sunlight transients and shadowing effects are not included in the analysis, but are discussed briefly. Integrating the Solar Array Simulator (SAS) into the Power Management and Distribution (PMAD) subsystem is also discussed.

  20. Portfolio as a learning strategy and a tool for assessment - a Danish experience

    DEFF Research Database (Denmark)

    Mogensen, Arne

    A short presentation of some Danish expereriences using portfolio in maths teaching in primary and lower secondary schools as a learning strategy AND a tool for assessment.......A short presentation of some Danish expereriences using portfolio in maths teaching in primary and lower secondary schools as a learning strategy AND a tool for assessment....

  1. Classroom Learning Environment and Gender: Do They Explain Math Self-Efficacy, Math Outcome Expectations, and Math Interest during Early Adolescence?

    Science.gov (United States)

    Deacon, Mary M.

    2011-01-01

    Despite initiatives to increase and broaden participation in science, technology, engineering, and mathematics (STEM) fields, women remain underrepresented in STEM. While U.S. girls and women perform as well as, if not better, than boys and men in math, research results indicate that there are significant declines in girls' math self-efficacy,…

  2. Addressing the Math-Practice Gap in Elementary School: Are Tablets a Feasible Tool for Informal Math Practice?

    Science.gov (United States)

    Stacy, Sara T; Cartwright, Macey; Arwood, Zjanya; Canfield, James P; Kloos, Heidi

    2017-01-01

    Students rarely practice math outside of school requirements, which we refer to as the "math-practice gap". This gap might be the reason why students struggle with math, making it urgent to develop means by which to address it. In the current paper, we propose that math apps offer a viable solution to the math-practice gap: Online apps can provide access to a large number of problems, tied to immediate feedback, and delivered in an engaging way. To substantiate this conversation, we looked at whether tablets are sufficiently engaging to motivate children's informal math practice. Our approach was to partner with education agencies via a community-based participatory research design. The three participating education agencies serve elementary-school students from low-SES communities, allowing us to look at tablet use by children who are unlikely to have extensive access to online math enrichment programs. At the same time, the agencies differed in several structural details, including whether our intervention took place during school time, after school, or during the summer. This allowed us to shed light on tablet feasibility under different organizational constraints. Our findings show that tablet-based math practice is engaging for young children, independent of the setting, the student's age, or the math concept that was tackled. At the same time, we found that student engagement was a function of the presence of caring adults to facilitate their online math practice.

  3. Math for the digital factory

    CERN Document Server

    Hömberg, Dietmar; Landry, Chantal

    2017-01-01

    This volume provides a unique collection of mathematical tools and industrial case studies in digital manufacturing. It addresses various topics, ranging from models of single production technologies, production lines, logistics and workflows to models and optimization strategies for energy consumption in production. The digital factory represents a network of digital models and simulation and 3D visualization methods for the holistic planning, realization, control and ongoing improvement of all factory processes related to a specific product. In the past ten years, all industrialized countries have launched initiatives to realize this vision, sometimes also referred to as Industry 4.0 (in Europe) or Smart Manufacturing (in the United States). Its main goals are • reconfigurable, adaptive and evolving factories capable of small-scale production • high-performance production, combining flexibility, productivity, precision and zero defects • energy and resource efficiency in manufacturing None of these...

  4. Math Description Engine Software Development Kit

    Science.gov (United States)

    Shelton, Robert O.; Smith, Stephanie L.; Dexter, Dan E.; Hodgson, Terry R.

    2010-01-01

    The Math Description Engine Software Development Kit (MDE SDK) can be used by software developers to make computer-rendered graphs more accessible to blind and visually-impaired users. The MDE SDK generates alternative graph descriptions in two forms: textual descriptions and non-verbal sound renderings, or sonification. It also enables display of an animated trace of a graph sonification on a visual graph component, with color and line-thickness options for users having low vision or color-related impairments. A set of accessible graphical user interface widgets is provided for operation by end users and for control of accessible graph displays. Version 1.0 of the MDE SDK generates text descriptions for 2D graphs commonly seen in math and science curriculum (and practice). The mathematically rich text descriptions can also serve as a virtual math and science assistant for blind and sighted users, making graphs more accessible for everyone. The MDE SDK has a simple application programming interface (API) that makes it easy for programmers and Web-site developers to make graphs accessible with just a few lines of code. The source code is written in Java for cross-platform compatibility and to take advantage of Java s built-in support for building accessible software application interfaces. Compiled-library and NASA Open Source versions are available with API documentation and Programmer s Guide at http:/ / prim e.jsc.n asa. gov.

  5. Learning Math With My Father: A Memoir

    Directory of Open Access Journals (Sweden)

    Yolanda De La CRUZ

    2012-07-01

    Full Text Available If he is indeed wise he does not bid you enter the house of his wisdom, but rather leads you to the threshold of your own mind. Kahlil Gibran. We all build our own houses of wisdom, each of us; we cannot build them for each other. Teachers cannot simply invite students into their houses of wisdom, but can often find ways to help learners to enter and explore their own minds. While Constructivism has had a positive impact on the teaching and learning of literacy mathematics instruction continues to rely heavily on rote memorization and drills. As a young child, I learned to love math. My love of math stems from learning math with my father. He did not focus on rote memorization and drills. The primary emphasis was for a real purpose. My self-confidence was enforced when he started me out with problems that were less difficult and had many different solutions. These solutions were valued and respected, which allowed me to trust in my own problem solving abilities. How can we hope to lead children to the thresholds of their own minds when we remain intent on forcing them into our houses of wisdom? What alternative ways can we devise of interacting with children that respect their confidence and leave intact their levels of understanding, that lead them to the thresholds of their own minds excited about entering?

  6. The influence of female social models in corporate STEM initiatives on girls' math and science attitudes

    Science.gov (United States)

    Medeiros, Donald J.

    The United States' Science, Technology, Engineering, and Mathematics (STEM) workforce is growing slower than in the past, in comparison to demand, and in comparison to other countries. Competitive talent conditions require the United States to develop a strong pipeline of STEM talent within its own citizens. Given the number of female college graduates and their underrepresentation in the STEM workforce, women provide the greatest opportunity for fulfilling this need. The term social model represents the individuals and media that shape children's self-perceptions. Social models have been shown to positively influence girl's perceptions of the value of math and science as well as their expectations of success. This study examined differences in attitudes towards math and science among student participants in corporate STEM programs. Differences were measured based on participant gender and ethnicity, their mentor's gender and ethnicity, and program design differences. The research purpose was to inform the design of corporate STEM programs to improve female participants' attitudes towards math and science and eventually increase the number of women in the STEM workforce. Over three hundred students in differing corporate STEM programs completed math and science attitudinal scales at the start and end of their programs. Study results revealed, prior to program start, female participants had a better attitude towards math and science than male participants. Analysis of the Trends in International Mathematics and Science Study data showed similar results. Overall program results demonstrated higher post program math and science attitudes with no differences based on gender, age, or ethnicity of the participant or mentor. Participants with high program or mentor satisfaction were found to have higher attitudes towards math and science. These results may suggest improving female academic choice requires more focus on their expectations of success than perceived task

  7. Primary maths anyone can feed skittles to sharks

    CERN Document Server

    Tiley-Nunn, Nick

    2014-01-01

    Primary maths is stereotypically loved by a few hairy oddballs, tolerated by most sane primary practitioners; loathed by many. With the right approach, however; the right mindset and sense of the impossible being achievable, maths can be moulded into the diamond in the rough of the primary curriculum. Enter Nick Tiley-Nunn: Britain's most imaginative, most exciting primary maths specialist. Over years of practice he has generated ideas about the teaching of maths that are so distinct, so far out and so utterly brilliant that any primary teacher struggling to grasp the nettle of teaching long division will emerge from communing with his ideas not just with some clichéd sense that ‘maths can be fun', but that it can be brilliant, life-enhancing and truly hilarious. This book presents ideas for primary maths teaching so wildly creative and so full of the joy of life that any classroom of kids will be grateful you read it.

  8. Metacognition and Confidence: Comparing Math to Other Academic Subjects

    Directory of Open Access Journals (Sweden)

    Shanna eErickson

    2015-06-01

    Full Text Available Two studies addressed student metacognition in math, measuring confidence accuracy about math performance. Underconfidence would be expected in light of pervasive math anxiety. However, one might alternatively expect overconfidence based on previous results showing overconfidence in other subject domains. Metacognitive judgments and performance were assessed for biology, literature, and mathematics tests. In Study 1, high school students took three different tests and provided estimates of their performance both before and after taking each test. In Study 2, undergraduates similarly took three shortened SAT II Subject Tests. Students were overconfident in predicting math performance, indeed showing greater overconfidence compared to other academic subjects. It appears that both overconfidence and anxiety can adversely affect metacognitive ability and can lead to math avoidance. The results have implications for educational practice and other environments that require extensive use of math.

  9. Linear regression

    CERN Document Server

    Olive, David J

    2017-01-01

    This text covers both multiple linear regression and some experimental design models. The text uses the response plot to visualize the model and to detect outliers, does not assume that the error distribution has a known parametric distribution, develops prediction intervals that work when the error distribution is unknown, suggests bootstrap hypothesis tests that may be useful for inference after variable selection, and develops prediction regions and large sample theory for the multivariate linear regression model that has m response variables. A relationship between multivariate prediction regions and confidence regions provides a simple way to bootstrap confidence regions. These confidence regions often provide a practical method for testing hypotheses. There is also a chapter on generalized linear models and generalized additive models. There are many R functions to produce response and residual plots, to simulate prediction intervals and hypothesis tests, to detect outliers, and to choose response trans...

  10. Linear Colliders

    International Nuclear Information System (INIS)

    Alcaraz, J.

    2001-01-01

    After several years of study e''+ e''- linear colliders in the TeV range have emerged as the major and optimal high-energy physics projects for the post-LHC era. These notes summarize the present status form the main accelerator and detector features to their physics potential. The LHC era. These notes summarize the present status, from the main accelerator and detector features to their physics potential. The LHC is expected to provide first discoveries in the new energy domain, whereas an e''+ e''- linear collider in the 500 GeV-1 TeV will be able to complement it to an unprecedented level of precision in any possible areas: Higgs, signals beyond the SM and electroweak measurements. It is evident that the Linear Collider program will constitute a major step in the understanding of the nature of the new physics beyond the Standard Model. (Author) 22 refs

  11. Linear algebra

    CERN Document Server

    Edwards, Harold M

    1995-01-01

    In his new undergraduate textbook, Harold M Edwards proposes a radically new and thoroughly algorithmic approach to linear algebra Originally inspired by the constructive philosophy of mathematics championed in the 19th century by Leopold Kronecker, the approach is well suited to students in the computer-dominated late 20th century Each proof is an algorithm described in English that can be translated into the computer language the class is using and put to work solving problems and generating new examples, making the study of linear algebra a truly interactive experience Designed for a one-semester course, this text adopts an algorithmic approach to linear algebra giving the student many examples to work through and copious exercises to test their skills and extend their knowledge of the subject Students at all levels will find much interactive instruction in this text while teachers will find stimulating examples and methods of approach to the subject

  12. Metacognitive awareness and math anxiety in gifted students

    OpenAIRE

    Hakan Sarıcam; Üzeyir Ogurlu

    2015-01-01

    The basic purpose of this study has been to examine the relationships between metacognitive awareness and maths anxiety in gifted students. The second aim was to compare with gifted and non-gifted students’ metacognitive awareness and maths anxiety levels. The participants were 300 (150 gifted, 150 non-gifted) volunteer secondary school students in Turkey. The mean age of the participants was 12.56 years ranging from 12 to 13 years. For gathering data, the Maths Anxiety Scale for Elementary S...

  13. Insecure attachment is associated with math anxiety in middle childhood

    OpenAIRE

    Bosmans, Guy; De Smedt, Bert

    2015-01-01

    Children?s anxiety for situations requiring mathematical problem solving, a concept referred to as math anxiety, has a unique and detrimental impact on concurrent and long-term mathematics achievement and life success. Little is known about the factors that contribute to the emergence of math anxiety. The current study builds on the hypothesis that math anxiety might reflect a maladaptive affect regulation mechanism that is characteristic for insecure attachment relationships. To test this hy...

  14. What to Do About Canada's Declining Math Scores?

    OpenAIRE

    Anna Stokke

    2015-01-01

    The declining performance of Canadian students on international math assessments should worry Canadians and their provincial governments. Strong mathematics knowledge is required for success in the workforce, and early achievement in math is one of the best predictors of later academic success and future career options. Between 2003 and 2012, all but two Canadian provinces showed statistically significant declines in math scores on international exams administered by the Organization for Econ...

  15. From road to lab to math: the co-evolution of technological, regulatory, and organizational innovations for automotive crash testing.

    Science.gov (United States)

    Leonardi, Paul M

    2010-04-01

    Today, in the midst of economic crisis, senior executives at US automakers and influential industry analysts frequently reflect on the progression that safety testing has taken from the crude trials done on the road, to controlled laboratory experiments, and to today's complex math-based simulation models. They use stories of this seemingly linear and natural sequence to justify further investment in simulation technologies. The analysis presented in this paper shows that change in the structures of automakers' organizations co-evolved with regulations specifying who was at fault in vehicle impacts, how vehicles should be built to withstand the force of an impact, and how testing should be done to assure that vehicles met those requirements. Changes in the regulatory environment were bolstered by new theories about crash test dynamics and changing technologies with which to test those theories. Thus, as new technological and regulatory innovations co-evolved with innovations in organizational structuring, ideas about how to best conduct crash tests shifted and catalyzed new cycles of technological, regulatory, and organizational innovation. However, this co-evolutionary story tells us that the move from road to lab to math was not natural or linear as today's managerial rhetoric would have us believe. Rather, the logic of math-based simulation was the result of technological, regulatory and organizational changes that created an industry-wide ideology that supported the move toward math while making it appear natural within the shifting structure of the industry.

  16. Promoting autonomous learning in English through the implementation of Content and Language Integrated Learning (CLIL in science and maths subjects

    Directory of Open Access Journals (Sweden)

    Andriani Putu Fika

    2018-01-01

    Full Text Available Autonomous learning is a concept in which the learner has the ability to take charge of their own learning. It becomes a notable aspect that should be perceived by students. The aim of this research is for finding out the strategies used by grade two teachers in Bali Kiddy Primary School to promote autonomous learning in English through the implementation of Content and Language Integrated Learning in science and maths subjects. This study was designed in the form of descriptive qualitative study. The data were collected through observation, interview, and document study. The result of the study shows that there are some strategies of promoting autonomous learning in English through the implementation of CLIL in Science and Maths subjects. Those strategies are table of content training, questioning & presenting, journal writing, choosing activities, and using online activity. Those strategies can be adopted or even adapted as the way to promote autonomous learning in English subject.

  17. Cognitive consistency and math-gender stereotypes in Singaporean children.

    Science.gov (United States)

    Cvencek, Dario; Meltzoff, Andrew N; Kapur, Manu

    2014-01-01

    In social psychology, cognitive consistency is a powerful principle for organizing psychological concepts. There have been few tests of cognitive consistency in children and no research about cognitive consistency in children from Asian cultures, who pose an interesting developmental case. A sample of 172 Singaporean elementary school children completed implicit and explicit measures of math-gender stereotype (male=math), gender identity (me=male), and math self-concept (me=math). Results showed strong evidence for cognitive consistency; the strength of children's math-gender stereotypes, together with their gender identity, significantly predicted their math self-concepts. Cognitive consistency may be culturally universal and a key mechanism for developmental change in social cognition. We also discovered that Singaporean children's math-gender stereotypes increased as a function of age and that boys identified with math more strongly than did girls despite Singaporean girls' excelling in math. The results reveal both cultural universals and cultural variation in developing social cognition. Copyright © 2013 Elsevier Inc. All rights reserved.

  18. A Correlation of Community College Math Readiness and Student Success

    Science.gov (United States)

    Brown, Jayna Nicole

    Although traditional college students are more prepared for college-level math based on college admissions tests, little data have been collected on nontraditional adult learners. The purpose of this study was to investigate relationships between math placement tests and community college students' success in math courses and persistence to degree or certificate completion. Guided by Tinto's theory of departure and student retention, the research questions addressed relationships and predictability of math Computer-adaptive Placement Assessment and Support System (COMPASS) test scores and students' performance in math courses, persistence in college, and degree completion. After conducting correlation and regression analyses, no significant relationships were identified between COMPASS Math test scores and students' performance (n = 234) in math courses, persistence in college, or degree completion. However, independent t test and chi-squared analyses of the achievements of college students who tested into Basic Math (n = 138) vs. Introduction to Algebra (n = 96) yielded statistically significant differences in persistence (p = .039), degree completion (p college students' math competencies and degree achievement.

  19. Can Low-Cost Online Summer Math Programs Improve Student Preparation for College-Level Math? Evidence from Randomized Experiments at Three Universities

    Science.gov (United States)

    Chingos, Matthew M.; Griffiths, Rebecca J.; Mulhern, Christine

    2017-01-01

    Every year many students enter college without the math preparation needed to succeed in their desired programs of study. Many of these students struggle to catch up, especially those who are required to take remedial math courses before entering college-level math. Increasing the number of students who begin at the appropriate level of math has…

  20. Trajectories of Self-Perceived Math Ability, Utility Value and Interest across Middle School as Predictors of High School Math Performance

    Science.gov (United States)

    Petersen, Jennifer Lee; Hyde, Janet Shibley

    2017-01-01

    Although many studies have documented developmental change in mathematics motivation, little is known about how these trends predict math performance. A sample of 288 participants from the United States reported their perceived math ability, math utility value and math interest in 5th, 7th and 9th grades. Latent growth curve models estimated…

  1. On the existence of star products on quotient spaces of linear Hamiltonian torus actions

    DEFF Research Database (Denmark)

    Herbig, Hans-Christian; Iyengar, Srikanth B.; Pflaum, Markus J.

    2009-01-01

    that the Koszul complex on the moment map of an effective linear Hamiltonian torus action is acyclic. We rephrase the nonpositivity condition of Arms and Gotay (Adv Math 79(1):43–103, 1990) for linear Hamiltonian torus actions. It follows that reduced spaces of such actions admit continuous star products....

  2. Math Anxiety Assessment with the Abbreviated Math Anxiety Scale: Applicability and usefulness: insights from the Polish adaptation

    Directory of Open Access Journals (Sweden)

    Krzysztof eCipora

    2015-11-01

    Full Text Available Math anxiety has an important impact on mathematical development and performance. However, although math anxiety is supposed to be a transcultural trait, assessment instruments are scarce and are validated mainly for Western cultures so far. Therefore, we aimed at examining the transcultural generality of math anxiety by a thorough investigation of the validity of math anxiety assessment in Eastern Europe. We investigated the validity and reliability of a Polish adaptation of the Abbreviated Math Anxiety Scale (AMAS, known to have very good psychometric characteristics in its original, American-English version as well as in its Italian and Iranian adaptations.We also observed high reliability, both for internal consistency and test-retest stability of the AMAS in the Polish sample. The results also show very good construct, convergent and discriminant validity: The factorial structure in Polish adult participants (n = 857 was very similar to the one previously found in other samples; AMAS scores correlated moderately in expected directions with state and trait anxiety, self-assessed math achievement and skill as well temperamental traits of emotional reactivity, briskness, endurance and perseverance. Average scores obtained by participants as well as gender differences and correlations with external measures were also similar across cultures. Beyond the cultural comparison, we used path model analyses to show that math anxiety relates to math grades and self-competence when controlling for trait anxiety.The current study shows transcultural validity of math anxiety assessment with the AMAS.

  3. Math starters 5- to 10-minute activities aligned with the common core math standards, grades 6-12

    CERN Document Server

    Muschla, Judith A; Muschla, Erin

    2013-01-01

    A revised edition of the bestselling activities guide for math teachers Now updated with new math activities for computers and mobile devices-and now organized by the Common Core State Standards-this book includes more than 650 ready-to-use math starter activities that get kids quickly focused and working as soon as they enter the classroom. Ideally suited for any math curriculum, these high-interest problems spark involvement in the day's lesson, help students build skills, and allow teachers to handle daily management tasks without wasting valuable instructional time. A newly updated edit

  4. Math Anxiety Assessment with the Abbreviated Math Anxiety Scale: Applicability and Usefulness: Insights from the Polish Adaptation.

    Science.gov (United States)

    Cipora, Krzysztof; Szczygieł, Monika; Willmes, Klaus; Nuerk, Hans-Christoph

    2015-01-01

    Math anxiety has an important impact on mathematical development and performance. However, although math anxiety is supposed to be a transcultural trait, assessment instruments are scarce and are validated mainly for Western cultures so far. Therefore, we aimed at examining the transcultural generality of math anxiety by a thorough investigation of the validity of math anxiety assessment in Eastern Europe. We investigated the validity and reliability of a Polish adaptation of the Abbreviated Math Anxiety Scale (AMAS), known to have very good psychometric characteristics in its original, American-English version as well as in its Italian and Iranian adaptations. We also observed high reliability, both for internal consistency and test-retest stability of the AMAS in the Polish sample. The results also show very good construct, convergent and discriminant validity: The factorial structure in Polish adult participants (n = 857) was very similar to the one previously found in other samples; AMAS scores correlated moderately in expected directions with state and trait anxiety, self-assessed math achievement and skill as well temperamental traits of emotional reactivity, briskness, endurance, and perseverance. Average scores obtained by participants as well as gender differences and correlations with external measures were also similar across cultures. Beyond the cultural comparison, we used path model analyses to show that math anxiety relates to math grades and self-competence when controlling for trait anxiety. The current study shows transcultural validity of math anxiety assessment with the AMAS.

  5. Linear programming

    CERN Document Server

    Karloff, Howard

    1991-01-01

    To this reviewer’s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming from the Simplex Method…via the Ellipsoid algorithm to Karmarkar’s algorithm. Moreover, its point of view is algorithmic and thus it provides both a history and a case history of work in complexity theory. The presentation is admirable; Karloff's style is informal (even humorous at times) without sacrificing anything necessary for understanding. Diagrams (including horizontal brackets that group terms) aid in providing clarity. The end-of-chapter notes are helpful...Recommended highly for acquisition, since it is not only a textbook, but can also be used for independent reading and study. —Choice Reviews The reader will be well served by reading the monograph from cover to cover. The author succeeds in providing a concise, readable, understandable introduction to modern linear programming. —Mathematics of Computing This is a textbook intend...

  6. Exposing the Myth: Advanced Math Does Not Increase Drop out Rates. Math Works

    Science.gov (United States)

    Achieve, Inc., 2013

    2013-01-01

    A common argument against raising math course-taking requirements for all students is that it will cause more students to drop out of high school. But most students who drop out for academic reasons do so not because they are being "too challenged," but rather because they are not being challenged enough. It is important to raise the rigor and…

  7. How Effective Are Community College Remedial Math Courses for Students with the Lowest Math Skills?

    Science.gov (United States)

    Xu, Di; Dadgar, Mina

    2018-01-01

    Objective: This article examines the effectiveness of remediation for community college students who are identified as having the lowest skills in math. Method: We use transcript data from a state community college system and take advantage of a regression discontinuity design that compares statistically identical students who are assigned to the…

  8. Math Teachers' Attitudes towards Photo Math Application in Solving Mathematical Problem Using Mobile Camera

    Science.gov (United States)

    Hamadneh, Iyad M.; Al-Masaeed, Aslan

    2015-01-01

    This study aimed at finding out mathematics teachers' attitudes towards photo math application in solving mathematical problems using mobile camera; it also aim to identify significant differences in their attitudes according to their stage of teaching, educational qualifications, and teaching experience. The study used judgmental/purposive…

  9. Placing Math Reform: Locating Latino English Learners in Math Classrooms and Communities

    Science.gov (United States)

    Erbstein, Nancy

    2015-01-01

    This article explores how place matters in public school reform efforts intended to promote more equitable opportunities and outcomes. Qualitative case studies of three California middle schools' eighth grade math reforms and the resulting opportunities for Latino English learners are presented, using the conceptual frameworks of critical human…

  10. Design of an Internal Model Control strategy for single-phase grid-connected PWM inverters and its performance analysis with a non-linear local load and weak grid.

    Science.gov (United States)

    Chaves, Eric N; Coelho, Ernane A A; Carvalho, Henrique T M; Freitas, Luiz C G; Júnior, João B V; Freitas, Luiz C

    2016-09-01

    This paper presents the design of a controller based on Internal Model Control (IMC) applied to a grid-connected single-phase PWM inverter. The mathematical modeling of the inverter and the LCL output filter, used to project the 1-DOF IMC controller, is presented and the decoupling of grid voltage by a Feedforward strategy is analyzed. A Proportional - Resonant Controller (P+Res) was used for the control of the same plant in the running of experimental results, thus moving towards the discussion of differences regarding IMC and P+Res performances, which arrived at the evaluation of the proposed control strategy. The results are presented for typical conditions, for weak-grid and for non-linear local load, in order to verify the behavior of the controller against such situations. Copyright © 2016 ISA. Published by Elsevier Ltd. All rights reserved.

  11. Linear Programming and Network Flows

    CERN Document Server

    Bazaraa, Mokhtar S; Sherali, Hanif D

    2011-01-01

    The authoritative guide to modeling and solving complex problems with linear programming-extensively revised, expanded, and updated The only book to treat both linear programming techniques and network flows under one cover, Linear Programming and Network Flows, Fourth Edition has been completely updated with the latest developments on the topic. This new edition continues to successfully emphasize modeling concepts, the design and analysis of algorithms, and implementation strategies for problems in a variety of fields, including industrial engineering, management science, operations research

  12. Nonlinear dynamics and control strategies: On a energy harvester vibrating system with a linear form to non-ideal motor torquet

    Directory of Open Access Journals (Sweden)

    de Pontes B. R.

    2012-07-01

    Full Text Available In this paper, we deal with the research of a vibrating model of an energy harvester device, including the nonlinearities in the model of the piezoelectric coupling and the non-ideal excitation. We show, using numerical simulations, in the analysis of the dynamic responses, that the harvested power is influenced by non-linear vibrations of the structure. Chaotic behavior was also observed, causing of the loss of energy throughout the simulation time. Using a perturbation technique, we find an approximate analytical solution for the non-ideal system. Then, we apply both two control techniques, to keep the considered system, into a stable condition. Both the State Dependent Ricatti Equation (SDRE control as the feedback control by changing the energy of the oscillator, were efficient in controlling of the considered non-ideal system.

  13. Linear-after-the-exponential polymerase chain reaction and allied technologies. Real-time detection strategies for rapid, reliable diagnosis from single cells.

    Science.gov (United States)

    Pierce, Kenneth E; Wangh, Lawrence J

    2007-01-01

    Accurate detection of gene sequences in single cells is the ultimate challenge to polymerase chain reaction (PCR) sensitivity. Unfortunately, commonly used conventional and real-time PCR techniques are often too unreliable at that level to provide the accuracy needed for clinical diagnosis. Here we provide details of linear-after-the-exponential-PCR (LATE-PCR), a method similar to asymmetric PCR in the use of primers at different concentrations, but with novel design criteria to ensure high efficiency and specificity. Compared with conventional PCR, LATE-PCR increases the signal strength and allele discrimination capability of oligonucleotide probes such as molecular beacons and reduces variability among replicate samples. The analysis of real-time kinetics of LATE-PCR signals provides a means for improving the accuracy of single cell genetic diagnosis.

  14. Essential maths for geoscientists an introduction

    CERN Document Server

    Palmer, Paul I

    2014-01-01

    Maths for Geoscientists is an accessible, student-friendly introduction to the essential mathematics required by those students taking degree courses within the Geosciences. Clearly structured throughout, this book carefully guides the student step by step through the mathematics they will encounter and will provide numerous applied examples throughout to enhance students understanding and to place each technique into context. Opening with a chapter explaining the need for studying mathematics within geosciences the book then moves on to cover algebra, equations, solutions, logarithms and ex

  15. MhicMathúna v Ireland

    OpenAIRE

    Thornton, Liam

    2016-01-01

    This is a feminist re-imagining of the Supreme Court decision MhicMathúna v Ireland [1995] 1 I.R. 454. The actual Supreme Court decision in this case continues to have a profound impact upon how the Irish superior courts view constitutional socio-economic rights claims. This feminist judgment seeks to re-situate the legal analysis of constitutionalised socio-economic rights claims. However, this, as is seen from the feminist judgment, has not been an easy task. The plaintiffs' in this case at...

  16. BLAS- BASIC LINEAR ALGEBRA SUBPROGRAMS

    Science.gov (United States)

    Krogh, F. T.

    1994-01-01

    The Basic Linear Algebra Subprogram (BLAS) library is a collection of FORTRAN callable routines for employing standard techniques in performing the basic operations of numerical linear algebra. The BLAS library was developed to provide a portable and efficient source of basic operations for designers of programs involving linear algebraic computations. The subprograms available in the library cover the operations of dot product, multiplication of a scalar and a vector, vector plus a scalar times a vector, Givens transformation, modified Givens transformation, copy, swap, Euclidean norm, sum of magnitudes, and location of the largest magnitude element. Since these subprograms are to be used in an ANSI FORTRAN context, the cases of single precision, double precision, and complex data are provided for. All of the subprograms have been thoroughly tested and produce consistent results even when transported from machine to machine. BLAS contains Assembler versions and FORTRAN test code for any of the following compilers: Lahey F77L, Microsoft FORTRAN, or IBM Professional FORTRAN. It requires the Microsoft Macro Assembler and a math co-processor. The PC implementation allows individual arrays of over 64K. The BLAS library was developed in 1979. The PC version was made available in 1986 and updated in 1988.

  17. Evaluating Number Sense in Community College Developmental Math Students

    Science.gov (United States)

    Steinke, Dorothea A.

    2017-01-01

    Community college developmental math students (N = 657) from three math levels were asked to place five whole numbers on a line that had only endpoints 0 and 20 marked. How the students placed the numbers revealed the same three stages of behavior that Steffe and Cobb (1988) documented in determining young children's number sense. 23% of the…

  18. Do the Math: Course Redesign's Impact on Learning and Scheduling

    Science.gov (United States)

    Squires, John; Faulkner, Jerry; Hite, Carl

    2009-01-01

    The math department at Cleveland State Community College embarked upon course redesign in 2008. As a result of this project, student engagement, learning, and success rates have increased dramatically. By including both developmental and college level math courses in the redesign, the department has been able to implement innovative scheduling and…

  19. Classroom Environment, Achievement Goals and Maths Performance: Gender Differences

    Science.gov (United States)

    Gherasim, Loredana Ruxandra; Butnaru, Simona; Mairean, Cornelia

    2013-01-01

    This study investigated how gender shapes the relationships between classroom environment, achievement goals and maths performance. Seventh-grade students ("N"?=?498) from five urban secondary schools filled in achievement goal orientations and classroom environment scales at the beginning of the second semester. Maths performance was…

  20. Math and Economics: Implementing Authentic Instruction in Grades K-5

    Science.gov (United States)

    Althauser, Krista; Harter, Cynthia

    2016-01-01

    The purpose of this study is to outline a partnership program that involved a local elementary school district, an institution of higher education, the local business community, and a state economic education advocacy group to integrate economics into math in grades K-5. The "Economics: Math in Real Life" program was provided in…

  1. Math on MXit: the medium is the message

    CSIR Research Space (South Africa)

    Butgereit, L

    2007-07-01

    Full Text Available Homework is a necessary evil in the path of learning mathematics at school. Mathematics homework is traditionally seen as difficult and boring. In the case of difficult homework, “math clubs” and “math extra lessons” are often perceived as even more...

  2. Determinants of Grades in Maths for Students in Economics

    DEFF Research Database (Denmark)

    Cappellari, Lorenzo; Lucifora, Claudio; Pozzoli, Dario

    attended are signi cantly associated with maths grades. Ceteris paribus, females typically do better than males. Since students can postpone the exam or repeat it when they fail, we also analyze the determinants of the elapsed time to pass the exam using survival analysis. Modeling simultaneously maths...

  3. How Math Anxiety Relates to Number–Space Associations

    Science.gov (United States)

    Georges, Carrie; Hoffmann, Danielle; Schiltz, Christine

    2016-01-01

    Given the considerable prevalence of math anxiety, it is important to identify the factors contributing to it in order to improve mathematical learning. Research on math anxiety typically focusses on the effects of more complex arithmetic skills. Recent evidence, however, suggests that deficits in basic numerical processing and spatial skills also constitute potential risk factors of math anxiety. Given these observations, we determined whether math anxiety also depends on the quality of spatial-numerical associations. Behavioral evidence for a tight link between numerical and spatial representations is given by the SNARC (spatial-numerical association of response codes) effect, characterized by faster left-/right-sided responses for small/large digits respectively in binary classification tasks. We compared the strength of the SNARC effect between high and low math anxious individuals using the classical parity judgment task in addition to evaluating their spatial skills, arithmetic performance, working memory and inhibitory control. Greater math anxiety was significantly associated with stronger spatio-numerical interactions. This finding adds to the recent evidence supporting a link between math anxiety and basic numerical abilities and strengthens the idea that certain characteristics of low-level number processing such as stronger number–space associations constitute a potential risk factor of math anxiety. PMID:27683570

  4. Brief Report: Gum Chewing Affects Standardized Math Scores in Adolescents

    Science.gov (United States)

    Johnston, Craig A.; Tyler, Chermaine; Stansberry, Sandra A.; Moreno, Jennette P.; Foreyt, John P.

    2012-01-01

    Gum chewing has been shown to improve cognitive performance in adults; however, gum chewing has not been evaluated in children. This study examined the effects of gum chewing on standardized test scores and class grades of eighth grade math students. Math classes were randomized to a gum chewing (GC) condition that provided students with gum…

  5. The Math Promise: Celebrating at Home and School

    Science.gov (United States)

    Legnard, Danielle; Austin, Susan

    2014-01-01

    The Math Promise is a contract that family members make with one another. They commit to spending mathematical time together; getting to know each other's mathematical thinking and understanding; and finding time to play math games, solve problems, and notice mathematics in their daily lives. Whether parents and children are cooking in the…

  6. Feedback Design Patterns for Math Online Learning Systems

    Science.gov (United States)

    Inventado, Paul Salvador; Scupelli, Peter; Heffernan, Cristina; Heffernan, Neil

    2017-01-01

    Increasingly, computer-based learning systems are used by educators to facilitate learning. Evaluations of several math learning systems show that they result in significant student learning improvements. Feedback provision is one of the key features in math learning systems that contribute to its success. We have recently been uncovering feedback…

  7. An Integration of Math with Auto Technician Courses

    Science.gov (United States)

    Valenzuela, Hector

    2012-01-01

    This article describes the development of the contextualized math, the course design, student teaching and daily interaction with the students, and the implementation aspects of the research project designed to develop contextualized mathematics and integrate it into the Auto Technician courses. The applied math curriculum was integrated into…

  8. HeartMath and Ubuntu integral healing approaches for social ...

    African Journals Online (AJOL)

    HeartMath and Ubuntu integral healing approaches for social coherence and physical activity. Stephen D. Edwards. Abstract. This research was motivated by many social health problems confronting planet earth. Its aim is to introduce HeartMath and Ubuntu as complimentary, integral healing approaches for promoting ...

  9. Science and Math in the Library Media Center Using GLOBE.

    Science.gov (United States)

    Aquino, Teresa L.; Levine, Elissa R.

    2003-01-01

    Describes the Global Learning and Observations to Benefit the Environment (GLOBE) program which helps school library media specialists and science and math teachers bring earth science, math, information literacy, information technology, and student inquiry into the classroom. Discusses use of the Internet to create a global network to study the…

  10. Restructuring Schools To Be Math Friendly to Females.

    Science.gov (United States)

    Karp, Karen; Shakeshaft, Charol

    1997-01-01

    The gender gap in math Scholastic Aptitude Test scores, attributable to course avoidance, lack of confidence, and unbalanced classroom instruction, can have serious consequences for young women, such as limited university selection, limited career choices, and lower lifetime salaries. Solutions include hiring math specialists, establishing role…

  11. Math Garden: A new educational and scientific instrument

    NARCIS (Netherlands)

    Straatemeier, M.

    2014-01-01

    This dissertation describes the research concerning the construction of a new educational and scientific instrument. This instrument, Math Garden, is a web application in which children can practice arithmetic by playing math games in which items are tailored to their ability level. At the same

  12. Basic Math Skills and Performance in an Introductory Economics Class

    Science.gov (United States)

    Ballard, Charles L.; Johnson, Marianne F.

    2004-01-01

    The authors measure math skills with a broader set of explanatory variables than have been used in previous studies. To identify what math skills are important for student success in introductory microeconomics, they examine (1) the student's score on the mathematics portion of the ACT Assessment Test, (2) whether the student has taken calculus,…

  13. Why Aren't More Minorities Taking Advanced Math?

    Science.gov (United States)

    Walker, Erica N.

    2007-01-01

    Black and Latino students are still underepresented in upper-level math classes in the United States, a fact which has serious implications for their academic achievement and futures. Walker provides six suggestions for how educators can encourage more black and Latino students to successfully take higher level math courses: (1) Expand our…

  14. How math anxiety relates to number-space associations

    Directory of Open Access Journals (Sweden)

    Carrie Georges

    2016-09-01

    Full Text Available Given the considerable prevalence of math anxiety, it is important to identify the factors contributing to it in order to improve mathematical learning. Research on math anxiety typically focusses on the effects of more complex arithmetic skills. Recent evidence, however, suggests that deficits in basic numerical processing and spatial skills also constitute potential risk factors of math anxiety. Given these observations, we determined whether math anxiety also depends on the quality of spatial-numerical associations. Behavioural evidence for a tight link between numerical and spatial representations is given by the SNARC (spatial-numerical association of response codes effect, characterized by faster left-/right-sided responses for small/large digits respectively in binary classification tasks. We compared the strength of the SNARC effect between high and low math anxious individuals using the classical parity judgment task in addition to evaluating their spatial skills, arithmetic performance, working memory and inhibitory control. Greater math anxiety was significantly associated with stronger spatio-numerical interactions. This finding adds to the recent evidence supporting a link between math anxiety and basic numerical abilities and strengthens the idea that certain characteristics of low-level number processing such as stronger number-space associations constitute a potential risk factor of math anxiety.

  15. Effects of Math Anxiety on Student Success in Higher Education

    Science.gov (United States)

    Nunez-Pena, M. I.; Suarez-Pellicioni, M.; Bono, R.

    2013-01-01

    This study examines whether math anxiety and negative attitudes toward mathematics have an effect on university students' academic achievement in a methodological course forming part of their degree. A total of 193 students were presented with a math anxiety test and some questions about their enjoyment, self-confidence and motivation regarding…

  16. The Effect of Cooperative Groups on Math Anxiety

    Science.gov (United States)

    Batton, Melissa

    2010-01-01

    Research indicates that many students have difficulty with mathematics, which can be attributed to many factors including math anxiety. Students who experience math anxiety have poor attitudes towards mathematics and perform below grade level based on class and statewide assessments. The purpose of this quasi-experimental quantitative study was to…

  17. How Math Anxiety Relates to Number-Space Associations.

    Science.gov (United States)

    Georges, Carrie; Hoffmann, Danielle; Schiltz, Christine

    2016-01-01

    Given the considerable prevalence of math anxiety, it is important to identify the factors contributing to it in order to improve mathematical learning. Research on math anxiety typically focusses on the effects of more complex arithmetic skills. Recent evidence, however, suggests that deficits in basic numerical processing and spatial skills also constitute potential risk factors of math anxiety. Given these observations, we determined whether math anxiety also depends on the quality of spatial-numerical associations. Behavioral evidence for a tight link between numerical and spatial representations is given by the SNARC (spatial-numerical association of response codes) effect, characterized by faster left-/right-sided responses for small/large digits respectively in binary classification tasks. We compared the strength of the SNARC effect between high and low math anxious individuals using the classical parity judgment task in addition to evaluating their spatial skills, arithmetic performance, working memory and inhibitory control. Greater math anxiety was significantly associated with stronger spatio-numerical interactions. This finding adds to the recent evidence supporting a link between math anxiety and basic numerical abilities and strengthens the idea that certain characteristics of low-level number processing such as stronger number-space associations constitute a potential risk factor of math anxiety.

  18. Metacognitive Awareness and Math Anxiety in Gifted Students

    Science.gov (United States)

    Saricam, Hakan; Ogurlu, Üzeyir

    2015-01-01

    The basic purpose of this study has been to examine the relationships between metacognitive awareness and maths anxiety in gifted students. The second aim was to compare with gifted and non-gifted students' metacognitive awareness and maths anxiety levels. The participants were 300 (150 gifted, 150 non-gifted) volunteer secondary school students…

  19. Remediation of Math Anxiety in Preservice Elementary School Teachers

    Science.gov (United States)

    Dunkle, Susan M.

    2010-01-01

    The purpose of this study was to measure the level of math anxiety in preservice elementary teachers, and then to determine if remediation methods would lower the measured level of anxiety in these same preservice teachers. The 10-day study provided an intense remediation using a time-series design to measure change on the Revised Math Anxiety…

  20. Cognitive and Academic Profiles Associated with Math Disability Subtypes

    Science.gov (United States)

    Kubas, Hanna A.; Schmid, Amy D.; Drefs, Michelle A.; Poole, Jennifer M.; Holland, Sara; Fiorello, Catherine A.

    2014-01-01

    Children with math disabilities (MD) represent a heterogeneous group and often display deficits in one or more cognitive domains. Math proficiency requires a number of different cognitive processes, including quantitative knowledge, working memory, processing speed, fluid reasoning, and executive functions. Assessment practices that do not address…

  1. The Reliability of Randomly Generated Math Curriculum-Based Measurements

    Science.gov (United States)

    Strait, Gerald G.; Smith, Bradley H.; Pender, Carolyn; Malone, Patrick S.; Roberts, Jarod; Hall, John D.

    2015-01-01

    "Curriculum-Based Measurement" (CBM) is a direct method of academic assessment used to screen and evaluate students' skills and monitor their responses to academic instruction and intervention. Interventioncentral.org offers a math worksheet generator at no cost that creates randomly generated "math curriculum-based measures"…

  2. Impact of University Lecturers' Intervention in School MathTeaching

    Indian Academy of Sciences (India)

    Some schools in the neighbourhood of Sefako MakgathoHealth Sciences University (SMU) in South Africa persistentlyyielded poor mathematics results in the past years. Thiswas of concern since maths is the main subject for manyopportunities, including admissiontoSMUstudy programmes.Some SMU maths lecturers ...

  3. Math and Science Gateways to California's Fastest Growing Careers

    Science.gov (United States)

    EdSource, 2008

    2008-01-01

    Some students--and parents--think math and science are not too important for their future. As everyday life becomes more dependent on technology, most people will need a better background in math and science to succeed in today's global economy. To get high-paying jobs in some of California's fastest-growing occupations, a strong background in…

  4. The Algebra Teacher's Activity-a-Day, Grades 6-12 Over 180 Quick Challenges for Developing Math and Problem-Solving Skills

    CERN Document Server

    Thompson, Frances McBroom

    2010-01-01

    Fun-filled math problems that put the emphasis on problem-solving strategies and reasoning. The Algebra Teacher's Activity-a-Day offers activities for test prep, warm-ups, down time, homework, or just for fun. These unique activities are correlated with national math education standards and emphasize problem-solving strategies and logical reasoning skills. In many of the activities, students are encouraged to communicate their different approaches to other students in the class.: Filled with dozens of quick and fun algebra activities that can be used inside and outside the classroom; Designed

  5. Membangun Karakter Anak Usia Dini melalui Pembelajaran Math Character

    Directory of Open Access Journals (Sweden)

    Titin Faridatun Nisa’

    2016-09-01

    Full Text Available Penelitian ini bertujuan untuk mengetahui penerapan pembelajaran math character untuk membangun karakter Anak Usia Dini (AUD dan kesulitan-kesulitan yang dialami guru dalam penerapan pembelajaran math character. Target penelitian ini adalah terbentuknya karakter anak usia dini melalui pembelajaran math character. Jenis penelitian ini adalah penelitian deskriptif dengan metode penelitian kualitatif. Teknik pengumpulan informasi penelitian ini dengan metode observasi dan wawancara. Analisis data penelitian ini menggunakan analisis deskriptif. Hasil penelitian menunjukkan bahwa penerapan pembelajaran math character dapat membangun delapan belas nilai-nilai karakter AUD. Kesulitan-kesulitan yang dialami guru dalam pembentukan karakter AUD melalui pembelajaran math character meliputi tema yang digunakan termasuk tema baru, siswa belum terbiasa dengan pembelajaran berbasis sentra, usia siswa bervariasi, dan adanya ikut campur wali siswa dalam kegiatan pembelajaran di kelas sehingga siswa menjadi kurang mandiri.

  6. Math anxiety differentially affects WAIS-IV arithmetic performance in undergraduates.

    Science.gov (United States)

    Buelow, Melissa T; Frakey, Laura L

    2013-06-01

    Previous research has shown that math anxiety can influence the math performance level; however, to date, it is unknown whether math anxiety influences performance on working memory tasks during neuropsychological evaluation. In the present study, 172 undergraduate students completed measures of math achievement (the Math Computation subtest from the Wide Range Achievement Test-IV), math anxiety (the Math Anxiety Rating Scale-Revised), general test anxiety (from the Adult Manifest Anxiety Scale-College version), and the three Working Memory Index tasks from the Wechsler Adult Intelligence Scale-IV Edition (WAIS-IV; Digit Span [DS], Arithmetic, Letter-Number Sequencing [LNS]). Results indicated that math anxiety predicted performance on Arithmetic, but not DS or LNS, above and beyond the effects of gender, general test anxiety, and math performance level. Our findings suggest that math anxiety can negatively influence WAIS-IV working memory subtest scores. Implications for clinical practice include the utilization of LNS in individuals expressing high math anxiety.

  7. Math for scientists refreshing the essentials

    CERN Document Server

    Maurits, Natasha

    2017-01-01

    Accessible and comprehensive, this guide is an indispensable tool for anyone in the sciences – new and established researchers, students and scientists – looking either to refresh their math skills or to prepare for the broad range of math, statistical and data-related challenges they are likely to encounter in their work or studies. In addition to helping scientists improve their knowledge of key mathematical concepts, this unique book will help readers: ·                     Read mathematical symbols ·                     Understand formulas, data or statistical information ·                     Determine medication equivalents ·                     Analyze neuroimaging  Mathematical concepts are presented alongside illustrative and useful real-world scien­tific examples and are further clarified through practical pen-and-paper exercises. Whether you are a student encountering high-level mathematics in your research or...

  8. PUMAS: Practical Uses of Math And Science

    Science.gov (United States)

    Kahn, R. A.

    2009-12-01

    For more than ten years, PUMAS has provided a forum for disseminating peer-reviewed examples of Practical Uses of Math And Science, aimed at helping pre-college teachers enrich their presentation of math and science topics. Contributors include scientists, engineers, and content experts from many disciplines. The innovative ideas in PUMAS examples tend to be treasures, containing the ‘sparks’ of understanding that comes only from having real-life experience with the material. Examples can be essays, anecdotes, problems, demonstrations, or activities, and can be written in any style that serves the material well. They are keyed to the National Standards and Benchmarks, which provide the critical connection to K-12 curriculum guidelines, and the peer-review process involves at least one scientist with a relevant background, and at least one teacher at an appropriate grade level. The PUMAS Web Site has recently been upgraded. It is now a NASA-wide facility, recognized by both the National Science Teachers Association (NSTA) and the National Council of Teachers of Mathematics (NCTM). This presentation will describe and illustrate the operation of PUMAS, will highlight a few of our many treasures, and will appeal to scientists interested in contributing meaningfully to pre-college education to consider submitting examples to PUMAS.

  9. Imagine math 3 between culture and mathematics

    CERN Document Server

    2015-01-01

    Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. This volume in the series “Imagine Math” casts light on what is new and interesting in the relationships between mathematics, imagination, and culture. The book opens by examining the connections between modern and contemporary art and mathematics, including Linda D. Henderson’s contribution. Several further papers are devoted to mathematical models and their influence on modern and contemporary art, including the work of Henry Moore and Hiroshi Sugimoto. Among the many other interesting contributions are an homage to Benoît Mandelbrot with reference to the exhibition held in New York in 2013 and the thoughts of Jean-Pierre Bourguignon on the art and math exhibition at the Fondation Cartier in Paris. An interesting part is dedicated to the connections between math, computer science and theatre with the papers by C. Bardainne and A. Mondot.  The topics are treated in a way that is rigorous but capt...

  10. Maths and physics, a love story

    CERN Multimedia

    CERN Bulletin

    Denis Guedj brings one of his plays to CERN. The writer and mathematician is working on a new novel in which LHC research figures prominently. In Denis Guedj’s plays, the number One is a self-absorbed character, Zero is not to be underestimated, and the Line Segment wants the Curve to straighten out. In his novels, mathematical entities come to life—and turn out to have exciting stories to tell. Denis Guedj is a mathematician and professor of the history of science and epistemology at the University of Paris VIII; over the years he has also indulged a personal passion for bringing maths to the stage. His novels and plays reach a broad public. Among his notable successes is a crime thriller called “The Parrot’s Theorem”, which has been translated into 20 languages. The popularity of his work owes much to the author’s refusal to be didactic. “If it works, it’s because I don’t try to teach maths,” he explains....

  11. Preschool Math Exposure in Private Center-Based Care and Low-SES Children's Math Development

    Science.gov (United States)

    Bachman, Heather J.; Degol, Jessica L.; Elliott, Leanne; Scharphorn, Laura; El Nokali, Nermeen E.; Palmer, Kalani M.

    2018-01-01

    Research Findings: The present study examined the amount of exposure to math activities that children of low socioeconomic status (SES) encounter in private community-based preschool classrooms and whether greater time in these activities predicted higher math skills. Three cohorts of 4- to 5-year-old children were recruited from 30 private…

  12. Instant Math Storymats with Hands-on Activities for Building Essential Primary Math Skills, Grades K-2.

    Science.gov (United States)

    Spann, Mary Beth

    This book contains 18 reproducible Math Storymats which can be a refreshing addition to any early elementary math program. Each storymat is accompanied by two separate read-aloud story selections that guide children in using plastic disk-shaped markers to interact with the mats in specific and open-ended ways. Together the mats and the…

  13. Carnegie Math Pathways 2015-2016 Impact Report: A Five-Year Review. Carnegie Math Pathways Technical Report

    Science.gov (United States)

    Hoang, Hai; Huang, Melrose; Sulcer, Brian; Yesilyurt, Suleyman

    2017-01-01

    College math is a gateway course that has become a constraining gatekeeper for tens of thousands of students annually. Every year, over 500,000 students fail developmental mathematics, preventing them from achieving their college and career goals. The Carnegie Math Pathways initiative offers students an alternative. It comprises two Pathways…

  14. Math Academy: Play Ball! Explorations in Data Analysis & Statistics. Book 3: Supplemental Math Materials for Grades 3-8

    Science.gov (United States)

    Rimbey, Kimberly

    2008-01-01

    Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the "Math Academy--Play Ball! Explorations in Data Analysis & Statistics," which teachers can use to…

  15. Math Academy: Let's Go to the Mall! Explorations in Combinatorics. Book 5: Supplemental Math Materials for Grades 3-8

    Science.gov (United States)

    Rimbey, Kimberly

    2008-01-01

    Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the "Math Academy--Let's Go to the Mall! Explorations in Combinatorics," which teachers can use to enhance…

  16. Math Academy: Dining Out! Explorations in Fractions, Decimals, & Percents. Book 4: Supplemental Math Materials for Grades 3-8

    Science.gov (United States)

    Rimbey, Kimberly

    2007-01-01

    Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the "Math Academy--Dining Out! Explorations in Fractions, Decimals, and Percents," which teachers can use…

  17. Building a Math-Positive Culture: How to Support Great Math Teaching in Your School (ASCD Arias)

    Science.gov (United States)

    Seeley, Cathy L.

    2016-01-01

    Cathy L. Seeley, former president of the National Council of Teachers of Mathematics, turns the spotlight on administrative leaders who are seeking to improve their math programs, offering an overview of what an effective program looks like and examples of actions to take to achieve that goal. "Building a Math-Positive Culture" addresses…

  18. Design and Implementation of Closed-loop PI Control Strategies in Real-time MATLAB Simulation Environment for Nonlinear and Linear ARMAX Models of HVAC Centrifugal Chiller Control Systems

    Directory of Open Access Journals (Sweden)

    Nicolae Tudoroiu

    2018-04-01

    Full Text Available The objective of this paper is to investigate three different approaches of modeling, design and discrete-time implementation of PI closed-loop control strategies in SIMULINK simulation environment, applied to a centrifugal chiller system. Centrifugal chillers are widely used in large building HVAC systems. The system consists of an evaporator, a condenser, a centrifugal compressor and an expansion valve. The overall system is an interconnection of two main control loops, namely the chilled water temperature inside the evaporator, and the refrigerant liquid level control in condenser. The centrifugal chiller dynamics model in a discrete-time state-space representation is of high complexity in terms of dimension and encountered nonlinearities. For simulation purpose the centrifugal chiller model is simplified by using different approaches, especially the development of linear polynomials ARMAX and ARX models. The aim to build linear ARMAX models for centrifugal chiller is to simplify considerable the control design strategies that are investigated in this research paper. The novelty of this research is a new controller design approach, more precisely an improved version of proportional – integral control, the so called Proportional-Integral-Plus control for systems with time delay, based on linear ARMAX models. It is conceived within the context of non-minimum state space control system that “seems to be the natural description of a discrete-time transfer function, since its dimension is dictated by the complete structure of the model”. The effectiveness of this new controller design, its implementation simplicity, convergence speed and robustness are proved in the last section of the paper.

  19. Reduction of Linear Programming to Linear Approximation

    OpenAIRE

    Vaserstein, Leonid N.

    2006-01-01

    It is well known that every Chebyshev linear approximation problem can be reduced to a linear program. In this paper we show that conversely every linear program can be reduced to a Chebyshev linear approximation problem.

  20. Further linear algebra

    CERN Document Server

    Blyth, T S

    2002-01-01

    Most of the introductory courses on linear algebra develop the basic theory of finite­ dimensional vector spaces, and in so doing relate the notion of a linear mapping to that of a matrix. Generally speaking, such courses culminate in the diagonalisation of certain matrices and the application of this process to various situations. Such is the case, for example, in our previous SUMS volume Basic Linear Algebra. The present text is a continuation of that volume, and has the objective of introducing the reader to more advanced properties of vector spaces and linear mappings, and consequently of matrices. For readers who are not familiar with the contents of Basic Linear Algebra we provide an introductory chapter that consists of a compact summary of the prerequisites for the present volume. In order to consolidate the student's understanding we have included a large num­ ber of illustrative and worked examples, as well as many exercises that are strategi­ cally placed throughout the text. Solutions to the ex...

  1. Positive Attitude Toward Math Supports Early Academic Success: Behavioral Evidence and Neurocognitive Mechanisms.

    Science.gov (United States)

    Chen, Lang; Bae, Se Ri; Battista, Christian; Qin, Shaozheng; Chen, Tianwen; Evans, Tanya M; Menon, Vinod

    2018-03-01

    Positive attitude is thought to impact academic achievement and learning in children, but little is known about its underlying neurocognitive mechanisms. Using a large behavioral sample of 240 children, we found that positive attitude toward math uniquely predicted math achievement, even after we accounted for multiple other cognitive-affective factors. We then investigated the neural mechanisms underlying the link between positive attitude and academic achievement in two independent cohorts of children (discovery cohort: n = 47; replication cohort: n = 28) and tested competing hypotheses regarding the differential roles of affective-motivational and learning-memory systems. In both cohorts, we found that positive attitude was associated with increased engagement of the hippocampal learning-memory system. Structural equation modeling further revealed that, in both cohorts, increased hippocampal activity and more frequent use of efficient memory-based strategies mediated the relation between positive attitude and higher math achievement. Our study is the first to elucidate the neurocognitive mechanisms by which positive attitude influences learning and academic achievement.

  2. Math anxiety and exposure to statistics in messages about genetically modified foods: effects of numeracy, math self-efficacy, and form of presentation.

    Science.gov (United States)

    Silk, Kami J; Parrott, Roxanne L

    2014-01-01

    Health risks are often communicated to the lay public in statistical formats even though low math skills, or innumeracy, have been found to be prevalent among lay individuals. Although numeracy has been a topic of much research investigation, the role of math self-efficacy and math anxiety on health and risk communication processing has received scant attention from health communication researchers. To advance theoretical and applied understanding regarding health message processing, the authors consider the role of math anxiety, including the effects of math self-efficacy, numeracy, and form of presenting statistics on math anxiety, and the potential effects for comprehension, yielding, and behavioral intentions. The authors also examine math anxiety in a health risk context through an evaluation of the effects of exposure to a message about genetically modified foods on levels of math anxiety. Participants (N = 323) were randomly assigned to read a message that varied the presentation of statistical evidence about potential risks associated with genetically modified foods. Findings reveal that exposure increased levels of math anxiety, with increases in math anxiety limiting yielding. Moreover, math anxiety impaired comprehension but was mediated by perceivers' math confidence and skills. Last, math anxiety facilitated behavioral intentions. Participants who received a text-based message with percentages were more likely to yield than participants who received either a bar graph with percentages or a combined form. Implications are discussed as they relate to math competence and its role in processing health and risk messages.

  3. News from the Library: Zentralblatt MATH: it's not all about maths

    CERN Multimedia

    CERN Library

    2011-01-01

    The CERN Library provides access to numerous and diverse information services of interest to the CERN community. Among them, Zentralblatt MATH stands out from our offer of online databases.   Zentralblatt MATH covers more than 3 million articles published in about 3500 journals, from 1826 to the present. Most bibliographic records are linked to the online published article. It covers all areas of pure and applied mathematics and also theoretical computer science, mathematical quantum and statistical physics, classical, solid and fluid mechanics, and general relativity and astronomy. Therefore, this database is useful in many disciplines beyond mathematics. It is daily updated and allows advanced search functionalities. Among others things, it includes the content of the Electronic Research Archive for Mathematics, the European Mathematical Information Service, and the Mathematics Preprint Search System. Please note the "Online Ordering" button next to every bibliographic recor...

  4. Math anxiety in second and third graders and its relation to mathematics achievement

    Directory of Open Access Journals (Sweden)

    Sarah eWu

    2012-06-01

    Full Text Available Although the detrimental effects of math anxiety in adults are well understood, few studies have examined how it affects younger children who are beginning to learn math in a formal academic setting. Here, we examine the relationship between math anxiety and math achievement in 2nd and 3rd graders. In response to the need for a grade-appropriate measure of assessing math anxiety in this group we first describe the development of Scale for Early Mathematics Anxiety (SEMA, a new measure for assessing math anxiety in 2nd and 3rd graders that is based on the Math Anxiety Rating Scale. We demonstrate the construct validity and reliability of the SEMA and use it to characterize the effect of math anxiety on standardized measures of math abilities, as assessed using the Wechsler Individual Achievement Test (WIAT-II. Math achievement, as measured by the WIAT-II Math Composite score, was significantly and negatively correlated with SEMA but not with trait anxiety scores. Additional analyses showed that SEMA scores were significantly correlated with scores on the Math Reasoning subtest, which involves more complex verbal problem solving, but not with the Numerical Operations subtest which assesses basic computation skills. Our results suggest that math anxiety has a pronounced effect on more demanding calculations. Our results further suggest that math anxiety has an equally detrimental impact on math achievement regardless of whether children have an anxiety related to numbers or to the situational and social experience of doing math. Critically, these effects were unrelated to trait anxiety, providing the first evidence that the specific effects of math anxiety can be detected in the earliest stages of formal math learning in school. Our findings provide new insights into the developmental origins of math anxiety, and further underscore the need to remediate math anxiety and its deleterious effects on math achievement in young children.

  5. Tutoring math platform accessible for visually impaired people.

    Science.gov (United States)

    Maćkowski, Michał Sebastian; Brzoza, Piotr Franciszek; Spinczyk, Dominik Roland

    2018-04-01

    There are many problems with teaching and assessing impaired students in higher education, especially in technical science, where the knowledge is represented mostly by structural information like: math formulae, charts, graphs, etc. Developing e-learning platform for distance education solves this problem only partially due to the lack of accessibility for the blind. The proposed method is based on the decomposition of the typical mathematical exercise into a sequence of elementary sub-exercises. This allows for interactive resolving of math exercises and assessment of the correctness of exercise solutions at every stage. The presented methods were prepared and evaluated by visually impaired people and students. The article presents the accessible interactive tutoring platform for math teaching and assessment, and experience in exploring it. The results of conducted research confirm good understanding of math formulae described according to elaborated rules. Regardless of the level of complexity of the math formulae the level of math formulae understanding is higher for alternative structural description. The proposed solution enables alternative descriptions of math formulae. Based on the research results, the tool for computer-aided interactive learning of mathematics adapted to the needs of the blind has been designed, implemented and deployed as a platform for on-site and online and distance learning. The designed solution can be very helpful in overcoming many barriers that occur while teaching impaired students. Copyright © 2017 Elsevier Ltd. All rights reserved.

  6. Insecure attachment is associated with math anxiety in middle childhood.

    Science.gov (United States)

    Bosmans, Guy; De Smedt, Bert

    2015-01-01

    Children's anxiety for situations requiring mathematical problem solving, a concept referred to as math anxiety, has a unique and detrimental impact on concurrent and long-term mathematics achievement and life success. Little is known about the factors that contribute to the emergence of math anxiety. The current study builds on the hypothesis that math anxiety might reflect a maladaptive affect regulation mechanism that is characteristic for insecure attachment relationships. To test this hypothesis, 87 children primary school children (M age = 10.34 years; SD age = 0.63) filled out questionnaires measuring insecure attachment and math anxiety. They all completed a timed and untimed standardized test of mathematics achievement. Our data revealed that individual differences in math anxiety were significantly related to insecure attachment, independent of age, sex, and IQ. Both tests of mathematics achievement were associated with insecure attachment and this effect was mediated by math anxiety. This study is the first to indicate that math anxiety might develop in the context of insecure parent-child attachment relationships.

  7. Insecure attachment is associated with math anxiety in middle childhood

    Directory of Open Access Journals (Sweden)

    Guy eBosmans

    2015-10-01

    Full Text Available Children’s anxiety for situations requiring mathematical problem solving, a concept referred to as math anxiety, has a unique and detrimental impact on concurrent and long-term mathematics achievement and life success. Little is known about the factors that contribute to the emergence of math anxiety. The current study builds on the hypothesis that math anxiety might reflect a maladaptive affect-regulation mechanism that is characteristic for insecure attachment relationships. To test this hypothesis, 87 children primary school children (Mage = 10.34 years; SDage = 0.63 filled out questionnaires measuring insecure attachment and math anxiety. They all completed a timed and untimed standardized test of mathematics achievement. Our data revealed that individual differences in math anxiety were significantly related to insecure attachment, independent of age, sex and IQ. Both tests of mathematics achievement were associated with insecure attachment and this effect was mediated by math anxiety. This study is the first to indicate that math anxiety might develop in the context of insecure parent-child attachment relationships.

  8. Using the Intel Math Kernel Library on Peregrine | High-Performance

    Science.gov (United States)

    Computing | NREL the Intel Math Kernel Library on Peregrine Using the Intel Math Kernel Library on Peregrine Learn how to use the Intel Math Kernel Library (MKL) with Peregrine system software. MKL architectures. Core math functions in MKL include BLAS, LAPACK, ScaLAPACK, sparse solvers, fast Fourier

  9. Contextual Factors Related to Math Anxiety in Second-Grade Children

    Science.gov (United States)

    Jameson, Molly M.

    2014-01-01

    As the United States falls farther behind other countries in standardized math assessments, the author seeks to understand why U.S. students perform so poorly. One of the possible explanations to U.S. students' poor math performance may be math anxiety. However, math anxiety in elementary school children is a neglected area in the research. The…

  10. Is There a Causal Effect of High School Math on Labor Market Outcomes?

    Science.gov (United States)

    Joensen, Juanna Schroter; Nielsen, Helena Skyt

    2009-01-01

    In this paper, we exploit a high school pilot scheme to identify the causal effect of advanced high school math on labor market outcomes. The pilot scheme reduced the costs of choosing advanced math because it allowed for a more flexible combination of math with other courses. We find clear evidence of a causal relationship between math and…

  11. Limited Sampling Strategy for Accurate Prediction of Pharmacokinetics of Saroglitazar: A 3-point Linear Regression Model Development and Successful Prediction of Human Exposure.

    Science.gov (United States)

    Joshi, Shuchi N; Srinivas, Nuggehally R; Parmar, Deven V

    2018-03-01

    Our aim was to develop and validate the extrapolative performance of a regression model using a limited sampling strategy for accurate estimation of the area under the plasma concentration versus time curve for saroglitazar. Healthy subject pharmacokinetic data from a well-powered food-effect study (fasted vs fed treatments; n = 50) was used in this work. The first 25 subjects' serial plasma concentration data up to 72 hours and corresponding AUC 0-t (ie, 72 hours) from the fasting group comprised a training dataset to develop the limited sampling model. The internal datasets for prediction included the remaining 25 subjects from the fasting group and all 50 subjects from the fed condition of the same study. The external datasets included pharmacokinetic data for saroglitazar from previous single-dose clinical studies. Limited sampling models were composed of 1-, 2-, and 3-concentration-time points' correlation with AUC 0-t of saroglitazar. Only models with regression coefficients (R 2 ) >0.90 were screened for further evaluation. The best R 2 model was validated for its utility based on mean prediction error, mean absolute prediction error, and root mean square error. Both correlations between predicted and observed AUC 0-t of saroglitazar and verification of precision and bias using Bland-Altman plot were carried out. None of the evaluated 1- and 2-concentration-time points models achieved R 2 > 0.90. Among the various 3-concentration-time points models, only 4 equations passed the predefined criterion of R 2 > 0.90. Limited sampling models with time points 0.5, 2, and 8 hours (R 2 = 0.9323) and 0.75, 2, and 8 hours (R 2 = 0.9375) were validated. Mean prediction error, mean absolute prediction error, and root mean square error were prediction of saroglitazar. The same models, when applied to the AUC 0-t prediction of saroglitazar sulfoxide, showed mean prediction error, mean absolute prediction error, and root mean square error model predicts the exposure of

  12. Math Clock: Perangkat Penunjuk Waktu Kreatif untuk Olahraga Otak

    Directory of Open Access Journals (Sweden)

    Galuh Boy Hertantyo

    2014-11-01

    Full Text Available Brain is one of the most vital parts for humans, with the number of brain function that is needed for the body, the brain becomes a very important part of the human body. If there is damage to the brain will certainly cause the performance of the human body will not run properly. Because of that, it’s very important to maintain brain health. There is a way to maintain brain health, for example is by doing brain exercise. Examples of brain exercise is to do simple math calculations or doing brain games like sudoku. Because of that, created a tool that can help the brain to maintain brain exercise. The tool is called math clock. Making math clock tool consists of hardware and software. The hardware consists of RTC as real time data input, ATmega328 as microcontroller and dot matrix 32x16 as a tool to display the output that has been processed by the microcontroller. The software is built using C with Arduino IDE. Math clock will process the data from RTC then processed it, in microcontroller so when output displayed on dot matrix, output will be simple mathematical operation with real time clock data on it. Test results show that, math clock is capable of displaying a simple mathematical calculation operations such as addition, subtraction, multiplication and division. The mathematical operation that display on math clock, appears to be random, so it’s not triggered by same mathematical operation. In math clock the display will change every 20 second, so in 1 minute there are 3 different kinds of mathematical operations. The results of questionnaires of 10 different students, showed 9 out of 10 students said math clock is a tool that easy to use as a clock. Math clock will be alternative for doing brain exercise every day.

  13. The Attitude of Math Teachers toward Cooperative Learning and Institutional Elements that May Help or Hinder its Use as a Teaching Methodology

    Directory of Open Access Journals (Sweden)

    Luis Gerardo Meza-Cascante

    2015-01-01

    Full Text Available This paper presents the results of research conducted in high schools in the central region of the Cartago province, Costa Rica. The goal of the research was to determine the attitude of high school math teachers toward cooperative learning in math and identify factors in secondary education institutions that can help or hinder the implementation of cooperative learning as a strategy for teaching mathematics. The research was conducted with 39 secondary education math teachers, who participated in a workshop on cooperative learning in mathematics. The attitude toward this methodology was measured by using semantic differential. This information was triangulated with data obtained from non-participant observation. A combination of in-depth interviews and non-participant observation was used to access data that identifies institutional factors helping or hindering the implementation of math cooperative learning. Findings suggest a positive attitude from teachers toward integrating cooperative work as a teaching strategy to promote math learning and toward the role played by school principals in the adoption of educational innovations. It also reveals that high schools have adequate material conditions to implement the methodology, although the need for training is considered. This finding should be taken into account by the proponents of this methodological option.

  14. linear-quadratic-linear model

    Directory of Open Access Journals (Sweden)

    Tanwiwat Jaikuna

    2017-02-01

    Full Text Available Purpose: To develop an in-house software program that is able to calculate and generate the biological dose distribution and biological dose volume histogram by physical dose conversion using the linear-quadratic-linear (LQL model. Material and methods : The Isobio software was developed using MATLAB version 2014b to calculate and generate the biological dose distribution and biological dose volume histograms. The physical dose from each voxel in treatment planning was extracted through Computational Environment for Radiotherapy Research (CERR, and the accuracy was verified by the differentiation between the dose volume histogram from CERR and the treatment planning system. An equivalent dose in 2 Gy fraction (EQD2 was calculated using biological effective dose (BED based on the LQL model. The software calculation and the manual calculation were compared for EQD2 verification with pair t-test statistical analysis using IBM SPSS Statistics version 22 (64-bit. Results: Two and three-dimensional biological dose distribution and biological dose volume histogram were displayed correctly by the Isobio software. Different physical doses were found between CERR and treatment planning system (TPS in Oncentra, with 3.33% in high-risk clinical target volume (HR-CTV determined by D90%, 0.56% in the bladder, 1.74% in the rectum when determined by D2cc, and less than 1% in Pinnacle. The difference in the EQD2 between the software calculation and the manual calculation was not significantly different with 0.00% at p-values 0.820, 0.095, and 0.593 for external beam radiation therapy (EBRT and 0.240, 0.320, and 0.849 for brachytherapy (BT in HR-CTV, bladder, and rectum, respectively. Conclusions : The Isobio software is a feasible tool to generate the biological dose distribution and biological dose volume histogram for treatment plan evaluation in both EBRT and BT.

  15. Project TIMS (Teaching Integrated Math/Science)

    Science.gov (United States)

    Edwards, Leo, Jr.

    1993-01-01

    The goal of this project is to increase the scientific knowledge and appreciation bases and skills of pre-service and in-service middle school teachers, so as to impact positively on teaching, learning, and student retention. This report lists the objectives and summarizes the progress thus far. Included is the working draft of the TIMS (Teaching Integrated Math/Science) curriculum outline. Seven of the eight instructional subject-oriented modules are also included. The modules include informative materials and corresponding questions and educational activities in a textbook format. The subjects included here are the universe and stars; the sun and its place in the universe; our solar system; astronomical instruments and scientific measurements; the moon and eclipses; the earth's atmosphere: its nature and composition; and the earth: directions, time, and seasons. The module not included regards winds and circulation.

  16. Forum Math-for-Industry 2015

    CERN Document Server

    Broadbridge, Philip; Fukumoto, Yasuhide; Kamiyama, Naoyuki; Mizoguchi, Yoshihiro; Polthier, Konrad; Saeki, Osamu

    2017-01-01

    This book is a collection of papers presented at the “Forum Math-for-Industry 2015” for which the unifying theme was “The Role and Importance of Mathematics in Innovation”, held at the Institute of Mathematics for Industry, Kyushu University, October 26–30, 2015. The theme highlights two key roles that mathematics plays in supporting innovation in science, technology, and daily life, namely, needs-based and idea-based. For the former, mathematics assists with sorting through the possibilities and putting matters on a more rigorous foundation, and for the latter, mathematical models of the possible implementations play a key role. The book gives excellent examples of how mathematics assists with stimulating innovation and, thereby, highlights the importance and relevance of the concept Mathematics_FOR_Industry. The contents of this volume address productive and successful interaction between industry and mathematicians, as well as the cross-fertilization and collaboration that result when mathematics...

  17. Math Machines: Using Actuators in Physics Classes

    Science.gov (United States)

    Thomas, Frederick J.; Chaney, Robert A.; Gruesbeck, Marta

    2018-01-01

    Probeware (sensors combined with data-analysis software) is a well-established part of physics education. In engineering and technology, sensors are frequently paired with actuators—motors, heaters, buzzers, valves, color displays, medical dosing systems, and other devices that are activated by electrical signals to produce intentional physical change. This article describes how a 20-year project aimed at better integration of the STEM disciplines (science, technology, engineering and mathematics) uses brief actuator activities in physics instruction. Math Machines "actionware" includes software and hardware that convert virtually any free-form, time-dependent algebraic function into the dynamic actions of a stepper motor, servo motor, or RGB (red, green, blue) color mixer. With wheels and a platform, the stepper motor becomes LACI, a programmable vehicle. Adding a low-power laser module turns the servo motor into a programmable Pointer. Adding a gear and platform can transform the Pointer into an earthquake simulator.

  18. Gesturing Gives Children New Ideas About Math

    Science.gov (United States)

    Goldin-Meadow, Susan; Cook, Susan Wagner; Mitchell, Zachary A.

    2009-01-01

    How does gesturing help children learn? Gesturing might encourage children to extract meaning implicit in their hand movements. If so, children should be sensitive to the particular movements they produce and learn accordingly. Alternatively, all that may matter is that children move their hands. If so, they should learn regardless of which movements they produce. To investigate these alternatives, we manipulated gesturing during a math lesson. We found that children required to produce correct gestures learned more than children required to produce partially correct gestures, who learned more than children required to produce no gestures. This effect was mediated by whether children took information conveyed solely in their gestures and added it to their speech. The findings suggest that body movements are involved not only in processing old ideas, but also in creating new ones. We may be able to lay foundations for new knowledge simply by telling learners how to move their hands. PMID:19222810

  19. MATH: A Scientific Tool for Numerical Methods Calculation and Visualization

    Directory of Open Access Journals (Sweden)

    Henrich Glaser-Opitz

    2016-02-01

    Full Text Available MATH is an easy to use application for various numerical methods calculations with graphical user interface and integrated plotting tool written in Qt with extensive use of Qwt library for plotting options and use of Gsl and MuParser libraries as a numerical and parser helping libraries. It can be found at http://sourceforge.net/projects/nummath. MATH is a convenient tool for use in education process because of its capability of showing every important step in solution process to better understand how it is done. MATH also enables fast comparison of similar method speed and precision.

  20. Das habt ihr schon im Mathe gelernt! Stimmt das wirklich?

    DEFF Research Database (Denmark)

    Avelar Sotomaior Karam, Ricardo; Uhden, Olaf; Höttecke, Dietmar

    2016-01-01

    Mathematics is widely considered to be a prerequisite for learning physics. However, it is quite naive to believe that learning basic math is sufficient to use mathematics as a reasoning tool to think about the physical world. The main reason is that using mathematics in physics is substantially...... different than in math. In this paper we show how the way physicists make use of some basic mathematical concepts (e.g. multiplication, division and functions) is specific to physics by identifying their historical genesis and contrasting with the way these concepts are usually taught in math lessons. We...

  1. Social Capital, Information, and Socioeconomic Disparities in Math Coursework

    Science.gov (United States)

    Crosnoe, Robert; Schneider, Barbara

    2011-01-01

    Analysis of the National Education Longitudinal Study revealed that socioeconomically advantaged students persist in high school math at higher rates than their disadvantaged peers, even when they have the same initial placements and skill levels. These disparities are larger among students with prior records of low academic status because students from more privileged backgrounds persist in math coursework even when their prior performance predicts they will not. Among students with low middle school math performance, those from socioeconomically disadvantaged families appear to benefit from having consultants for coursework decisions, so that they make up ground with their socioeconomically advantaged peers. PMID:21743762

  2. Basic math and pre-algebra for dummies

    CERN Document Server

    Zegarelli, Mark

    2014-01-01

    Tips for simplifying tricky basic math and pre-algebra operations Whether you're a student preparing to take algebra or a parent who wants or needs to brush up on basic math, this fun, friendly guide has the tools you need to get in gear. From positive, negative, and whole numbers to fractions, decimals, and percents, you'll build necessary math skills to tackle more advanced topics, such as imaginary numbers, variables, and algebraic equations. Explanations and practical examples that mirror today's teaching methodsRelevant cultural vernacular and referencesStandard For Dummies materials that

  3. Local energy decay for linear wave equations with variable coefficients

    Science.gov (United States)

    Ikehata, Ryo

    2005-06-01

    A uniform local energy decay result is derived to the linear wave equation with spatial variable coefficients. We deal with this equation in an exterior domain with a star-shaped complement. Our advantage is that we do not assume any compactness of the support on the initial data, and its proof is quite simple. This generalizes a previous famous result due to Morawetz [The decay of solutions of the exterior initial-boundary value problem for the wave equation, Comm. Pure Appl. Math. 14 (1961) 561-568]. In order to prove local energy decay, we mainly apply two types of ideas due to Ikehata-Matsuyama [L2-behaviour of solutions to the linear heat and wave equations in exterior domains, Sci. Math. Japon. 55 (2002) 33-42] and Todorova-Yordanov [Critical exponent for a nonlinear wave equation with damping, J. Differential Equations 174 (2001) 464-489].

  4. Avoidance temperament and social-evaluative threat in college students' math performance: a mediation model of math and test anxiety.

    Science.gov (United States)

    Liew, Jeffrey; Lench, Heather C; Kao, Grace; Yeh, Yu-Chen; Kwok, Oi-man

    2014-01-01

    Standardized testing has become a common form of student evaluation with high stakes, and limited research exists on understanding the roles of students' personality traits and social-evaluative threat on their academic performance. This study examined the roles of avoidance temperament (i.e., fear and behavioral inhibition) and evaluative threat (i.e., fear of failure and being viewed as unintelligent) in standardized math test and course grades in college students. Undergraduate students (N=184) from a large public university were assessed on temperamental fear and behavioral inhibition. They were then given 15 minutes to complete a standardized math test. After the test, students provided data on evaluative threat and their math performance (scores on standardized college entrance exam and average grades in college math courses). Results indicate that avoidance temperament was linked to social-evaluative threat and low standardized math test scores. Furthermore, evaluative threat mediated the influence of avoidance temperament on both types of math performance. Results have educational and clinical implications, particularly for students at risk for test anxiety and underperformance. Interventions targeting emotion regulation and stress management skills may help individuals reduce their math and test anxieties.

  5. Non-linear model supported predicted strategy of regulation for the block regulation of a membrane based oxyfuel power plant process; Nichtlineare modellgestuetzte praediktive Regelungsstrategie fuer Blockregelung eines membranbasierten Oxyfuel-Kraftwerksprozesses

    Energy Technology Data Exchange (ETDEWEB)

    Hoelemann, Sebastian

    2011-07-01

    As a part of the OXYCOAL AC project a concept of a fossil-fired power plant without emissions of CO{sub 2} is developed in which the recirculated flue gas in a high-temperature ceramic membrane is enriched with oxygen for the combustion of coal. This enables a separation of CO{sub 2} at relatively low efficiency losses. The contribution under consideration deals with the design of a block control strategy for this dynamic extremely demanding process. A cascaded control structure with two non-linear model-based predictive controllers is implemented. An essential component of the cascade structure is an adaptation of this specially developed algorithm with which the underlying controller determines the values for restrictions that are valid in the super-posed regulator in determining the setpoint. The block control approach is examined using a simulation model.

  6. Encouraging Competence in Basic Mathematics in Hydrology using The Math You Need

    Science.gov (United States)

    Fredrick, K. C.

    2011-12-01

    tool in higher-level courses. For our Hydrology course, we employ a strategy to integrate TMYN assessments throughout the course, to continually encourage students to practice math skills and introduce others that might be unfamiliar. The course begins with a pass/fail pre-assessment to gauge math competencies across the class, to prepare students for the rigors of the course, and to make sure they are technically able to access the website. Beginning the first week, and continuing through the first twelve weeks of the semester, additional assessments are assigned and graded on a pass/fail basis. The assessments include a guided module, followed by a brief quiz. The modules are aligned with the course materials as much as possible. At the end of the course, a post-assessment is assigned to measure student improvement. Most of the students will continue on to courses within Geology or Meteorology, depending on major, for which Hydrology is a pre-requisite. For the students, TMYN will serve to lay the groundwork for improved math competencies throughout their college career. For the faculty, this model allows for more class time to concentrate on science content, lab activities, and data analysis.

  7. Math anxiety in second and third graders and its relation to mathematics achievement.

    Science.gov (United States)

    Wu, Sarah S; Barth, Maria; Amin, Hitha; Malcarne, Vanessa; Menon, Vinod

    2012-01-01

    Although the detrimental effects of math anxiety in adults are well understood, few studies have examined how it affects younger children who are beginning to learn math in a formal academic setting. Here, we examine the relationship between math anxiety and math achievement in second and third graders. In response to the need for a grade-appropriate measure of assessing math anxiety in this group we first describe the development of Scale for Early Mathematics Anxiety (SEMA), a new measure for assessing math anxiety in second and third graders that is based on the Math Anxiety Rating Scale. We demonstrate the construct validity and reliability of the SEMA and use it to characterize the effect of math anxiety on standardized measures of math abilities, as assessed using the Mathematical Reasoning and Numerical Operations subtests of the Wechsler Individual Achievement Test (WIAT-II). Math achievement, as measured by the WIAT-II Math Composite score, was significantly and negatively correlated with SEMA but not with trait anxiety scores. Additional analyses showed that SEMA scores were strongly correlated with Mathematical Reasoning scores, which involves more complex verbal problem solving. SEMA scores were weakly correlated with Numerical Operations which assesses basic computation skills, suggesting that math anxiety has a pronounced effect on more demanding calculations. We also found that math anxiety has an equally detrimental impact on math achievement regardless of whether children have an anxiety related to numbers or to the situational and social experience of doing math. Critically, these effects were unrelated to trait anxiety, providing the first evidence that the specific effects of math anxiety can be detected in the earliest stages of formal math learning in school. Our findings provide new insights into the developmental origins of math anxiety, and further underscore the need to remediate math anxiety and its deleterious effects on math achievement

  8. Teachers Awareness of Students’ Anxiety in Math Classroom: Teachers’ Treatment VS Students’ Anxiety

    OpenAIRE

    Wanda Nugroho Yanuarto

    2016-01-01

    Math anxiety is a common phenomenon which can have a negative impact on numerical and arithmetic performance. However, so far little is known about the underlying neurocognitive mechanisms. This mini review provides an overview of studies investigating the neural correlates of math anxiety which provide several hints regarding its influence on math performance: while behavioral studies mostly observe an influence of math anxiety on difficult math tasks, neurophysiological studies show that pr...

  9. Math Anxiety in Second and Third Graders and Its Relation to Mathematics Achievement

    OpenAIRE

    Wu, Sarah S.; Barth, Maria; Amin, Hitha; Malcarne, Vanessa; Menon, Vinod

    2012-01-01

    Although the detrimental effects of math anxiety in adults are well understood, few studies have examined how it affects younger children who are beginning to learn math in a formal academic setting. Here, we examine the relationship between math anxiety and math achievement in second and third graders. In response to the need for a grade-appropriate measure of assessing math anxiety in this group we first describe the development of Scale for Early Mathematics Anxiety (SEMA), a new measure f...

  10. A study on switched linear system identification using game ...

    African Journals Online (AJOL)

    A study on switched linear system identification using game-theoretic strategies and neural computing. ... This study deals with application of game-theoretic strategies and neural computing to switched linear ... AJOL African Journals Online.

  11. Feedback linearizing control of a MIMO power system

    Science.gov (United States)

    Ilyes, Laszlo

    Prior research has demonstrated that either the mechanical or electrical subsystem of a synchronous electric generator may be controlled using single-input single-output (SISO) nonlinear feedback linearization. This research suggests a new approach which applies nonlinear feedback linearization to a multi-input multi-output (MIMO) model of the synchronous electric generator connected to an infinite bus load model. In this way, the electrical and mechanical subsystems may be linearized and simultaneously decoupled through the introduction of a pair of auxiliary inputs. This allows well known, linear, SISO control methods to be effectively applied to the resulting systems. The derivation of the feedback linearizing control law is presented in detail, including a discussion on the use of symbolic math processing as a development tool. The linearizing and decoupling properties of the control law are validated through simulation. And finally, the robustness of the control law is demonstrated.

  12. Les grands problèmes mathématiques ils orientent l'avenir des maths

    CERN Document Server

    2012-01-01

    Les mathématiques ont leurs sept merveilles ! Il s’agit des sept problèmes du millénaire, mis à prix à un million de dollars chacun par l’Institut Clay de mathématiques en 2000. Mais l’intelligence des mathématiciens est aussi mise à l’épreuve par bien d’autres problèmes, tels ceux de Hilbert. Découvrez dans ce numéro comment ces énigmes orientent l’avenir de la discipline ouvrant la voie à de nouvelles connaissances fondamentales.

  13. Using Think-Aloud Protocols to Uncover Misconceptions and Improve Developmental Math Instruction: An Exploratory Study

    Directory of Open Access Journals (Sweden)

    Charles Secolsky

    2016-01-01

    Full Text Available Deficiencies in education continue to escalate around the world. The focus on outcomes assessment has narrowed instructional research and curriculum evaluation to standardized testing in certain subject areas. A prototype for a quantitative literacy assessment instrument was developed with the goal of diagnosing student misconceptions of basic mathematics content and changing instructional practices to undo the misconceptions by applying cognitive psychological theory. Two hundred thirty-eight basic math high school students and 209 remedial community college students in New Jersey and New York were administered the instrument, which had been based on coded data from think-aloud protocols. The instrument asked students to answer 20 basic mathematics items and, in addition, to evaluate four possible solution strategies. For each item, frequencies of selected solution strategies and the association between strategy selection and performance on the 20-question math test are presented as a means for improving instruction. Follow-up research is proposed for determining whether undoing the student misconceptions first before teaching material on a new unit of instruction may yield more positive student outcomes.

  14. Choke or thrive? The relation between salivary cortisol and math performance depends on individual differences in working memory and math-anxiety.

    Science.gov (United States)

    Mattarella-Micke, Andrew; Mateo, Jill; Kozak, Megan N; Foster, Katherine; Beilock, Sian L

    2011-08-01

    In the current study, we explored how a person's physiological arousal relates to their performance in a challenging math situation as a function of individual differences in working memory (WM) capacity and math-anxiety. Participants completed demanding math problems before and after which salivary cortisol, an index of arousal, was measured. The performance of lower WM individuals did not depend on cortisol concentration or math-anxiety. For higher WM individuals high in math-anxiety, the higher their concentration of salivary cortisol following the math task, the worse their performance. In contrast, for higher WM individuals lower in math-anxiety, the higher their salivary cortisol concentrations, the better their performance. For individuals who have the capacity to perform at a high-level (higher WMs), whether physiological arousal will lead an individual to choke or thrive depends on math-anxiety. 2011 APA, all rights reserved

  15. Is Discrete Mathematics the New Math of the Eighties?

    Science.gov (United States)

    Hart, Eric W.

    1985-01-01

    Considered are what discrete mathematics includes, some parallels and differences between new math and discrete mathematics (listed in a table), and lessons to be learned. A list of references is included. (MNS)

  16. Change Vocational Funding to Acquire Qualified Math/Science Teachers.

    Science.gov (United States)

    Heron, Bill

    1985-01-01

    Gives a brief overview of the problems occurring at the high school level due to inadequately paid personnel in the math and science areas, summarizes the current bureaucratic structure surrounding vocational funding, and suggests an alternative. (FL)

  17. Math and science illiteracy: Social and economic impacts

    Energy Technology Data Exchange (ETDEWEB)

    Williams, J.L.

    1994-05-01

    Today`s highly competitive global economy is being driven by increasingly rapid technological development. This paper explores the problems of math and science illiteracy in the United States and the potential impact on our economic survival in this environment during the next century. Established educational methods that reward task performance, emphasize passive lecture, and fail to demonstrate relevance to real life are partly to blame. Social norms, stereotypes, and race and gender bias also have an impact. To address this crisis, we need to question the philosophy of an educational system that values task over concept. Many schools have already initiated programs at all grade levels to make math and science learning more relevant, stimulating, and fun. Teaching methods that integrate math and science learning with teamwork, social context, and other academic subjects promote the development of higher-order thinking skills and help students see math and science as necessary skills.

  18. Solar Imagery - Photosphere - Sunspot Drawings - McMath-Hulbert Observatory

    Data.gov (United States)

    National Oceanic and Atmospheric Administration, Department of Commerce — The McMath-Hulbert Observatory is a decommissioned solar observatory in Lake Angelus, Michigan, USA. It was established in 1929 as a private observatory by father...

  19. Positive Feedback From Male Authority Figures Boosts Women's Math Outcomes.

    Science.gov (United States)

    Park, Lora E; Kondrak, Cheryl L; Ward, Deborah E; Streamer, Lindsey

    2018-03-01

    People often search for cues in the environment to determine whether or not they will be judged or treated negatively based on their social identities. Accordingly, feedback from gatekeepers-members of majority groups who hold authority and power in a field-may be an especially important cue for those at risk of experiencing social identity threat, such as women in math settings. Across a series of studies, women who received positive ("Good job!") versus objective (score only) feedback from a male (vs. female) authority figure in math reported greater confidence; belonging; self-efficacy; more favorable Science, Technology, Engineering, and Mathematics (STEM) attitudes/identification/interest; and greater implicit identification with math. Men were affected only by the type of math feedback they received, not by the source of feedback. A meta-analysis across studies confirmed results. Together, these findings suggest that positive feedback from gatekeepers is an important situational cue that can improve the outcomes of negatively stereotyped groups.

  20. Threats and Supports to Female Students' Math Beliefs and Achievement.

    Science.gov (United States)

    McKellar, Sarah E; Marchand, Aixa D; Diemer, Matthew A; Malanchuk, Oksana; Eccles, Jacquelynne S

    2018-03-23

    This study examines how student perceptions of teacher practices contribute to female high school students' math beliefs and achievement. Guided by the expectancy-value framework, we hypothesized that students' motivation beliefs and achievement outcomes in mathematics are fostered by teachers' emphasis on the relevance of mathematics and constrained by gender-based differential treatment. To examine these questions, structural equation modeling was applied to a longitudinal panel of 518 female students from the Maryland Adolescent Development in Context Study. While controlling for prior achievement and race, gendered differential treatment was negatively associated with math beliefs and achievement, whereas relevant math instruction was positively associated with these outcomes. These findings suggest inroads that may foster positive math motivational beliefs and achievement among young women. © 2018 Society for Research on Adolescence.