Consumer Citizenship Curriculum Guides for Social Studies, English, Science, Mathematics.

Science.gov (United States)

MacKenzie, Louise; Smith, Alice

These four consumer citizenship curriculum guides for social studies, English, science, and mathematics incorporate consumer education into these subject matter areas in grades 8-12. Each guide is organized around 10 main component/goals. They are basic economics in the marketplace, credit, consumer law/protection, banking skills, comparison…

Mathematics Curriculum, the Philosophy of Mathematics and its ...

African Journals Online (AJOL)

A curriculum designed around habits of mind comprises both the content and the process. The existing .... Research in learning shows that ... and various interrelated experiences that ... mathematics has very little connection with .... that uses workplace and everyday tasks to .... cognitive sciences has supported the notion.

Discrete mathematics in the high school curriculum

NARCIS (Netherlands)

Anderson, I.; Asch, van A.G.; van Lint, J.H.

2004-01-01

In this paper we present some topics from the field of discrete mathematics which might be suitable for the high school curriculum. These topics yield both easy to understand challenging problems and important applications of discrete mathematics. We choose elements from number theory and various

Transforming Ethnomathematical Ideas in Western Mathematics Curriculum Texts

Science.gov (United States)

Dickenson-Jones, Amelia

2008-01-01

When ethnomathematical ideas, that is, the mathematical ideas of different cultural groups, are included in mathematics curriculum texts they can become part of the learning experience in various ways. Once included in western classroom mathematics texts, the ethnomathematical ideas become transformed. The transformations involve changes in form…

Discrete Mathematics in Deaf Education: A Survey of Teachers' Knowledge and Use

Science.gov (United States)

Pagliaro, C.; Kritzer, K. L.

2005-01-01

The study documents what deaf education teachers know about discrete mathematics topics and determines if these topics are present in the mathematics curriculum. Survey data were collected from 290 mathematics teachers at center and public school programs serving a minimum of 120 students with hearing loss, grades K-8 or K-12, in the United…

Using Video Analysis to Support Prospective K-8 Teachers' Noticing of Students' Multiple Mathematical Knowledge Bases

Science.gov (United States)

Roth McDuffie, Amy; Foote, Mary Q.; Bolson, Catherine; Turner, Erin E.; Aguirre, Julia M.; Bartell, Tonya Gau; Drake, Corey; Land, Tonia

2014-01-01

As part of a larger research project aimed at transforming preK-8 mathematics teacher preparation, the purpose of this study was to examine the extent to which prospective teachers notice children's competencies related to children's mathematical thinking, and children's community, cultural, and linguistic funds of knowledge or what…

Teachers' knowledge about language in mathematics professional development courses : From an intended curriculum to a curriculum in action

NARCIS (Netherlands)

Maaike Hajer; Eva Norén

2017-01-01

Explicit language objectives are included in the Swedish national curriculum for mathematics. The curriculum states that students should be given opportunities to develop the ability to formulate problems, use and analyse mathematical concepts and relationships between concepts, show and follow

Learners with learning difficulties in mathematics : attitudes, curriculum and methods of teaching mathematics

OpenAIRE

2012-01-01

D.Ed. The aim of this theses is to find out whether there is any relationship between learners' attitudes and learning difficulties in mathematics: To investigate whether learning difficulties in mathematics are associated with learners' gender. To establish the nature of teachers' perceptions of the learning problem areas in the mathematics curriculum. To find out about the teachers' views on the methods of teaching mathematics, resources, learning of mathematics, extra curricular activit...

Sense and Sensibility: The Case for the Nationwide Inclusion of Engineering in the K-12 Curriculum

Science.gov (United States)

Lindberg, Robert E.; Pinelli, Thomas E.; Batterson, James G.

2008-01-01

The competitive status of the United States is inextricably linked to innovation just as innovation is inseparable from science, technology, engineering, and mathematics. To stay competitive in innovation requires that the United States produce a 21st century workforce complete with requisite education, training, skills, and motivation. If we accept a priori that science, technology, engineering, and mathematics education are crucial to competitiveness and innovation and that, in terms of innovation, mathematics, science, and engineering are interdependent, why are mathematics and science uniformly ubiquitous in the K-12 curriculum while engineering is conspicuously absent? We are passionate in our belief that the uniform addition of engineering to the K-12 curriculum will help ensure that the nation has "the right" 21st Century workforce. Furthermore, we believe that a nationwide effort, led by a coalition of engineering academics, practitioners, and societies is required to turn this goal into reality. However, accomplishing this goal necessitates, as we are reminded by the title of Jane Austen's timeless novel, "Sense and Sensibility", a workable solution that seeks the "middle ground" between passion and reason. We begin our paper by making two essential points: Engineers are not scientists. Engineering exists separate from science, has its own specialized knowledge community apart from science, and it is largely responsible for many of the most significant advancements and improvements in the quality of our life. Our workable solution requires that K-12 education, nationwide, accommodate the inclusion of engineering as a stand alone curriculum and we offer three reasons to support our position: (1) workforce development, (2) stimulating interest in STEM (science, technology, engineering, and mathematics) courses and careers, and (3) creating a technologically literate society. We conclude with some thoughts on how this important goal can be accomplished.

The Role of Reasoning in the Australian Curriculum: Mathematics

Science.gov (United States)

McCluskey, Catherine; Mulligan, Joanne; Mitchelmore, Mike

2016-01-01

The mathematical proficiencies in the "Australian Curriculum: Mathematics" of understanding, problem solving, reasoning, and fluency are intended to be entwined actions that work together to build generalised understandings of mathematical concepts. A content analysis identifying the incidence of key proficiency terms (KPTs) embedded in…

Mathematics Teachers at Work: Connecting Curriculum Materials and Classroom Instruction. Studies in Mathematical Thinking and Learning Series

Science.gov (United States)

Remillard, Janine T., Ed.; Herbel-Eisenmann, Beth A., Ed.; Lloyd, Gwendolyn M., Ed.

2011-01-01

This book compiles and synthesizes existing research on teachers' use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on--but not restricted to--those materials developed in the 1990s in response to the NCTM's Principles and Standards for School Mathematics. Despite…

Designing a Mathematics Curriculum

Directory of Open Access Journals (Sweden)

Lee Peng Yee

2010-07-01

Full Text Available A decade of PMRI saw the changes in the classroom in some of the primary schools in Indonesia. Based on observation, we can say that though the mathematics syllabus in Indonesia did not change, its curriculum has changed under the movement of PMRI. In this article, we put in writing some of the experience gained through the involvement in designing curricula since 1971. Hopefully, some of the observations made may be of use to the colleagues in Indonesia. The discussion below will cover some deciding factors in designing a curriculum, some practices, and the latest trends. For convenience, we keep the discussion general, and do not refer to a specific syllabus. Also, in many cases, we refer mainly to secondary schools, that is, Grade 7 to Grade 10.

Teaching a High-Level Contextualized Mathematics Curriculum to Adult Basic Learners

Science.gov (United States)

Showalter, Daniel A.; Wollett, Chelsie; Reynolds, Sharon

2014-01-01

This paper reports on the implementation of a high level contextualized mathematics curriculum by 12 adult basic instructors in a midwestern state. The 10-week pilot curriculum embedded high level mathematics in contexts that were familiar to adult learners. Instructors' weekly online posts were coded, and the following themes emerged: (a)…

Discrete mathematics in deaf education: a survey of teachers' knowledge and use.

Science.gov (United States)

Pagliaro, Claudia M; Kritzer, Karen L

The study documents what deaf education teachers know about discrete mathematics topics and determines if these topics are present in the mathematics curriculum. Survey data were collected from 290 mathematics teachers at center and public school programs serving a minimum of 120 students with hearing loss, grades K-8 or K-12, in the United States. Findings indicate that deaf education teachers are familiar with many discrete mathematics topics but do not include them in instruction because they consider the concepts too complicated for their students. Also, regardless of familiarity level, deaf education teachers are not familiar with discrete mathematics terminology; nor is their mathematics teaching structured to provide opportunities to apply the real-world-oriented activities used in discrete mathematics instruction. Findings emphasize the need for higher expectations of students with hearing loss, and for reform in mathematics curriculum and instruction within deaf education.

Re-sourcing curriculum materials : in search of appropriate frameworks for researching the enacted mathematics curriculum

NARCIS (Netherlands)

Pepin, B.

2014-01-01

This article provides a commentary to the eight papers of this issue of ZDM entitled "Researching the enacted mathematics curriculum." It is structured around three main questions concerning (1) the layers of the curriculum addressed in the eight papers; (2) an identification of the main theoretical

Mathematical and Scientific Foundations for an Integrative Engineering Curriculum.

Science.gov (United States)

Carr, Robin; And Others

1995-01-01

Describes the Mathematical and Scientific Foundations of Engineering curriculum which emphasizes the mathematical and scientific concepts common to all engineering fields. Scientists and engineers together devised topics and experiments that emphasize the relevance of theory to real-world applications. Presents material efficiently while building…

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…

Games in the mathematics curriculum: Some conceptions and ...

African Journals Online (AJOL)

Games in the mathematics curriculum: Some conceptions and experiences of teachers in the Upper West Region of Ghana. ... The study investigated primary school teachers' experiences with games as ... AJOL African Journals Online.

Mathematical Knowledge and Skills Expected by Higher Education in Engineering and the Social Sciences: Implications for High School Mathematics Curriculum

Science.gov (United States)

Basaran, Mehmet; Özalp, Gülümser; Kalender, Ilker; Alacaci, Cengiz

2015-01-01

One important function of school mathematics curriculum is to prepare high school students with the knowledge and skills needed for university education. Identifying them empirically will help making sound decisions about the contents of high school mathematics curriculum. It will also help students to make informed choices in course selection at…

Computational experiment approach to advanced secondary mathematics curriculum

CERN Document Server

Abramovich, Sergei

2014-01-01

This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digital education era. This approach, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allows one (in the spirit of Freudenthal) to bridge serious mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When used appropriately, the approach creates conditions for collateral learning (in the spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teacher education program, this book addresses a call for the preparation of teachers capable of utilizing mo...

Results of Third-Grade Students in a Reform Curriculum on the Illinois State Mathematics Test.

Science.gov (United States)

Carroll, William M.

1997-01-01

Reports on the results of the reform curriculum of the University of Chicago School Mathematics Project's elementary curriculum, Everyday Mathematics, for third-grade students. Results included the fact that only 2% of UCSMP students failed to meet state goals. UCSMP students also scored well in all mathematical areas including number skills and…

An Analysis of the New 9-Year Basic Education Mathematics Curriculum in Nigeria

Science.gov (United States)

Awofala, Adeneye O. A.

2012-01-01

The intention of this paper is to describe and reflect on the changes in the new 9-year basic education mathematics curriculum in Nigeria. The paper is divided into four major themes: history of curriculum development in mathematics education at the basic education level in Nigeria, the motivations for the revision of the primary and junior…

Refining teacher design capacity: mathematics teachers' interactions with digital curriculum resources

NARCIS (Netherlands)

Pepin, B.; Gueudet, G.; Trouche, L.

2017-01-01

The goal of this conceptual paper is to develop enhanced understandings of mathematics teacher design and design capacity when interacting with digital curriculum resources. We argue that digital resources in particular offer incentives and increasing opportunities for mathematics teachers’ design,

A study of school mathematics curriculum enacted by competent teachers in Singapore secondary schools

Science.gov (United States)

Kaur, Berinderjeet; Tay, Eng Guan; Toh, Tin Lam; Leong, Yew Hoong; Lee, Ngan Hoe

2018-03-01

A study of school mathematics curriculum enacted by competent teachers in Singapore secondary schools is a programmatic research project at the National Institute of Education (NIE) funded by the Ministry of Education (MOE) in Singapore through the Office of Education Research (OER) at NIE. The main goal of the project is to collect a set of data that would be used by two studies to research the enacted secondary school mathematics curriculum. The project aims to examine how competent experienced secondary school teachers implement the designated curriculum prescribed by the MOE in the 2013 revision of curriculum. It does this firstly by examining the video recordings of the classroom instruction and interactions between secondary school mathematics teachers and their students, as it is these interactions that fundamentally determine the nature of the actual mathematics learning and teaching that take place in the classroom. It also examines content through the instructional materials used—their preparation, use in classroom and as homework. The project comprises a video segment and a survey segment. Approximately 630 secondary mathematics teachers and 600 students are participating in the project. The data collection for the video segment of the project is guided by the renowned complementary accounts methodology while the survey segment adopts a self-report questionnaire approach. The findings of the project will serve several purposes. They will provide timely feedback to mathematics specialists in the MOE, inform pre-service and professional development programmes for mathematics teachers at the NIE and contribute towards articulation of "Mathematics pedagogy in Singapore secondary schools" that is evidence based.

The Development of e-tutorial on Implementation National Curriculum 2013 for Mathematics Teacher

Science.gov (United States)

Roza, Yenita; Satria, Gita; Nur Siregar, Syarifah

2017-06-01

Curriculum 2013 is the new national Curriculum in Indonesia that is targeted to be used in all Indonesian schools in 2019. At this time the teacher training continues but the number and locations of teachers very diffuse and time constraints to be an obstacle for the government to be able to conduct training for teachers. This research resulted in the e-tutorial which is designed for mathematics teachers in studying the process of Curriculum implementation. This product will assist the government in accelerating the preparation of teachers in implementation of Curriculum 2013. This e-tutorial contains the dynamics of Curriculum development, learning model, learning assessment, lesson plan, curriculum stages of implementation and government regulation that is relevant to the implementation of Curriculum 2013. The product development started with a needs analysis through discussions with mathematics teachers about their difficulties in the implementation of the Curriculum 2013. This e-tutorial was developed using Application of Adobe Director 11. This paper discusses the results of need analysis, process development and results of product revisions made based on input from teachers during the FGD. From the discussion, it can be concluded that this e-tutorial easily understood by teachers and help them to understand the implementation of Curriculum 2013

The Challenge of Learning Physics before Mathematics: A Case Study of Curriculum Change in Taiwan

Science.gov (United States)

Chiu, Mei-Shiu

2016-01-01

The aim of this study was to identify challenges in implementing a physics-before- 10 mathematics curriculum. Obviously, students need to learn necessary mathematics skills in order to develop advanced physics knowledge. In the 2010 high school curriculum in Taiwan, however, grade 11 science students study two-dimensional motion in physics without…

Evaluation of an Integrated Curriculum in Physics, Mathematics, Engineering, and Chemistry

Science.gov (United States)

Beichner, Robert

1997-04-01

An experimental, student centered, introductory curriculum called IMPEC (for Integrated Mathematics, Physics, Engineering, and Chemistry curriculum) is in its third year of pilot-testing at NCSU. The curriculum is taught by a multidisciplinary team of professors using a combination of traditional lecturing and alternative instructional methods including cooperative learning, activity-based class sessions, and extensive use of computer modeling, simulations, and the world wide web. This talk will discuss the research basis for our design and implementation of the curriculum, the qualitative and quantitative methods we have been using to assess its effectiveness, and the educational outcomes we have noted so far.

Mathematical Modeling: A Structured Process

Science.gov (United States)

Anhalt, Cynthia Oropesa; Cortez, Ricardo

2015-01-01

Mathematical modeling, in which students use mathematics to explain or interpret physical, social, or scientific phenomena, is an essential component of the high school curriculum. The Common Core State Standards for Mathematics (CCSSM) classify modeling as a K-12 standard for mathematical practice and as a conceptual category for high school…

K-6 Science Curriculum.

Science.gov (United States)

Blueford, J. R.; And Others

A unified science approach is incorporated in this K-6 curriculum mode. The program is organized into six major cycles. These include: (1) science, math, and technology cycle; (2) universe cycle; (3) life cycle; (4) water cycle; (5) plate tectonics cycle; and (6) rock cycle. An overview is provided of each cycle's major concepts. The topic…

From Intended Curriculum to Written Curriculum: Examining the "Voice" of a Mathematics Textbook

Science.gov (United States)

Herbel-Eisenmann, Beth A.

2007-01-01

The author used a discourse analytic framework to examine the "voice" of a middle school mathematics unit. The aim of the analysis was to see whether the authors of the unit achieved the ideological goal (i.e., the intended curriculum) put forth by the NCTM's "Standards" (1991) to shift the locus of authority away from the teacher and the textbook…

Sample Grade Level Benchmarks, Grades 5-8, Based on the 1998 Arkansas State Mathematics Framework.

Science.gov (United States)

Arkansas State Dept. of Education, Little Rock.

This document presents the application and use of mathematics learning proposed by the Arkansas curriculum frameworks for grades 5-8. The standards are presented in chart form and organized into five strands: (1) number sense, properties, and operations; (2) geometry and spatial sense; (3) measurement; (4) data analysis, statistics, and…

University of Chicago School Mathematics Project 6-12 Curriculum. What Works Clearinghouse Intervention Report

Science.gov (United States)

What Works Clearinghouse, 2011

2011-01-01

The "University of Chicago School Mathematics Project ("UCSMP") 6-12 Curriculum" is a series of yearlong courses--(1) Transition Mathematics; (2) Algebra; (3) Geometry; (4) Advanced Algebra; (5) Functions, Statistics, and Trigonometry; and (6) Precalculus and Discrete Mathematics--emphasizing problem solving, real-world applications, and the use…

Investigating the Alignment of Bhutanese Mathematics Teachers' Planned Approaches within the Context of a Reformed Curriculum

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Dolma, Phuntsho; Nutchey, David; Watters, James J.; Chandra, Vinesh

2018-01-01

Reform of mathematics education has been in focus in many countries including those in major economic transition. This paper reports a segment of a study which was conducted in Bhutan, where a reformed elementary mathematics curriculum has been recently introduced. The reformed curriculum is based on social constructivism and its design has been…

Digital Curriculum Resources in Mathematics Education: Foundations for Change

Science.gov (United States)

Pepin, Birgit; Choppin, Jeffrey; Ruthven, Kenneth; Sinclair, Nathalie

2017-01-01

In this conceptual review paper we draw on recent literature with respect to digital curriculum resources (DCR); we briefly outline and explain selected theoretical frames; and we discuss issues related to the design, and the use (by teachers and students) of digital curricula and e-textbooks in mathematics education. The results of our review…

An analysis of teacher’s preparation in implementing 2013 revision edition curriculum on mathematics specialization learning

Science.gov (United States)

Susilo, T.; Suryawan, A.

2018-05-01

This study aimed to determine the pedagogical competence of teachers, the readiness of planning and implementation of learning related to the implementation 2013 revised edition curriculum on mathematics specialization learning for senior high schools Wonogiri. Informants in this study there are 6 high school mathematics teachers X and XI class who teach in the school district Wonogiri. Data were collected using questionnaire method, interview, observation and documentation. Qualitative data analysis is done interactively through 4 paths: data collection, data reduction, data display, drawing conclusion. The results showed that high school mathematics teacher class X and XI in school district of Wonogiri City. The results show that most high school mathematics teachers in grade X and XI are ready to implement the 2013 revised edition curriculum and a few have not been able to implement due to internal or external factors. High school math teachers at Wonogiri district who are ready to face the 2013 revised edition curriculum have applied 10 teacher pedagogic competency indicators according to Regulation of the national education ministry Number 16 Year 2007 in learning. The readiness and implementation of mathematics learning is in line with the demands of the 2013 revised edition curriculum. Based on the teachers who are not ready, data on issues that arise in the implementation of the 2013 revised edition curriculum. Especially the problems in learning, namely mismatch of Core Competence (KI) and Basic Competence (KD) in teacher manual, material disregard in student handbook and lack of examples of problems that exist in teacher manual.

Co-operative learning and adaptive instruction in a mathematics curriculum

NARCIS (Netherlands)

Terwel, J.; Herfs, P.G.P.; Mertens, E.H.M.; Perrenet, J.Chr.

1994-01-01

The AGO 12 to 16 Project (the acronym AGO stands for the Dutch equivalent of 'Adaptive Instruction and Co-operative Learning') seeks to develop and evaluate a mathematics curriculum which is suitable for mixed-ability groups in secondary education. The research questions we will address here are,

Debates on the Basic Education Curriculum Reform and Teachers' Challenges in China: The Case of Mathematics

Science.gov (United States)

Li, Qiong; Ni, Yu-jing

2012-01-01

Focusing on the case of mathematics, this paper reviews debates on China's new Basic Education Curriculum Reform program, including the status of knowledge within the reformed curriculum, the arrangement of the curriculum system, and the push toward real-life applicability and hands-on participation. It discusses the related challenges that…

The Place of Problem Solving in Contemporary Mathematics Curriculum Documents

Science.gov (United States)

Stacey, Kaye

2005-01-01

This paper reviews the presentation of problem solving and process aspects of mathematics in curriculum documents from Australia, UK, USA and Singapore. The place of problem solving in the documents is reviewed and contrasted, and illustrative problems from teachers' support materials are used to demonstrate how problem solving is now more often…

Changing Curriculum: A Critical Inquiry into the Revision of the British Columbia Science Curriculum For Grades K-9

Science.gov (United States)

Searchfield, Mary A.

In 2010 British Columbia's Ministry of Education started the process of redesigning the provincial school curriculum, Kindergarten to Grade 12. Mandatory implementation of the new curriculum was set for the 2016/17 school year for Grades K-9, and 2017/18 for Grades 10-12. With a concerted emphasis on personalized learning and through the frame of a Know-Do-Understand curriculum model, the new curriculum aims to meet the needs of today's learners, described as living in a technology-rich, fast-paced and ever-changing world, through a concept-based and competency-driven emphasis. This thesis is a critical analysis of the BC K-9 Science curriculum as written and published, looking specifically at how science is treated as a form of knowledge, its claimed presentation as a story, and on whether the intentions claimed by the designers are matched in the curriculum's final form.

Evaluation of Mathematics Curriculum in Primary Teacher Training Institute in Somalia. African Studies in Curriculum Development & Evaluation.

Science.gov (United States)

Jama, Mohamed A. F.

This study sought to evaluate the mathematics curriculum of the Halane Teacher Training Institute in Somalia with a view toward: (1) determining its weaknesses and recommending measures for improvement; (2) examining its relevance to the present needs of the Somali society; (3) determining the suitability of instructional materials and other…

Rock Cycle. K-6 Science Curriculum.

Science.gov (United States)

Blueford, J. R.; And Others

Rock Cycle is one of the units of a K-6 unified science curriculum program. The unit consists of four organizing sub-themes: (1) chemistry (introducing the topics of matter, elements, compounds, and chemical bonding); (2) characteristics (presenting hands-on activities with rocks and minerals); (3) minerals (emphasizing the aesthetic and economic…

K-12 Mathematics and the Web

Science.gov (United States)

Glazer, Evan

2005-01-01

The Web offers numerous learning resources and opportunities for K-12 mathematics education. This paper discusses those resources and opportunities. Discussion includes (a) asynchronous and synchronous communication tools, (b) the use of data sets to make connections between mathematics concepts and real-world applications, and (c) interactive…

CESAME: Providing High Quality Professional Development in Science and Mathematics for K-12 Teachers

Science.gov (United States)

Hickman, Paul

2002-04-01

It is appropriate that after almost half a century of Science and Mathematics education reform we take a look back and a peek forward to understand the present state of this wonderfully complex system. Each of the components of this system including teaching, professional development, assessment, content and the district K-12 curriculum all need to work together if we hope to provide quality science, mathematics and technology education for ALL students. How do the state and national standards drive the system? How do state policies on student testing and teacher licensure come into play? How do we improve the preparation, retention and job satisfaction of our K-12 teachers? What initiatives have made or are making a difference? What else needs to be done? What can the physics community do to support local efforts? This job is too big for any single organization or individual but we each can contribute to the effort. Our Center at Northeastern University, with support from the National Science Foundation, has a sharply defined focus: to get high quality, research-based instructional materials into the hands of K-12 classroom teachers and provide the support they need to use the materials effectively in their classrooms.

Mathematics Curriculum in Ireland: The Influence of PISA on the Development of Project Maths

Directory of Open Access Journals (Sweden)

Liz KIRWAN

2015-12-01

Full Text Available This article interrogates the extent to which the Organization for Economic Cooperation and Development (OECD through its Programme for International Student Assessment (PISA influenced the development of Project Maths, a new second-level mathematics education policy in Ireland. It argues that the Irish government, in its revision of mathematics education policy, was strongly influenced by PISA and that concern with the country’s ‘average’ placement in the international assessment was instrumental in defining the direction of the revision. It traces the genetic imprint of PISA on the development of curriculum policy, the new mathematics syllabus, its content and assessment. It argues that Project Maths sets out to follow closely the PISA conceptual framework. However, the analysis finds that Project Maths is not a mini-PISA but that the programme is comprised of two distinct approaches, on the one hand retaining the abstract, symbolic mathematics of sections of the pre-existing curriculum, while on the other emphasizing a PISA-like approach to pedagogy and to real-life problem solving.

Digital curriculum resources in mathematics education: foundations for change

OpenAIRE

Pepin, B.; Choppin, J.; Ruthven, K.; Sinclair, N.

2017-01-01

In this conceptual review paper we draw on recent literature with respect to digital curriculum resources (DCR); we briefly outline and explain selected theoretical frames; and we discuss issues related to the design, and the use (by teachers and students) of digital curricula and e-textbooks in mathematics education. The results of our review show the following. Firstly, whilst there are some contrasting tendencies between research on instructional technology and research on DCR, these studi...

Exploring the Associations Among Nutrition, Science, and Mathematics Knowledge for an Integrative, Food-Based Curriculum.

Science.gov (United States)

Stage, Virginia C; Kolasa, Kathryn M; Díaz, Sebastián R; Duffrin, Melani W

2018-01-01

Explore associations between nutrition, science, and mathematics knowledge to provide evidence that integrating food/nutrition education in the fourth-grade curriculum may support gains in academic knowledge. Secondary analysis of a quasi-experimental study. Sample included 438 students in 34 fourth-grade classrooms across North Carolina and Ohio; mean age 10 years old; gender (I = 53.2% female; C = 51.6% female). Dependent variable = post-test-nutrition knowledge; independent variables = baseline-nutrition knowledge, and post-test science and mathematics knowledge. Analyses included descriptive statistics and multiple linear regression. The hypothesized model predicted post-nutrition knowledge (F(437) = 149.4, p mathematics knowledge were predictive of nutrition knowledge indicating use of an integrative science and mathematics curriculum to improve academic knowledge may also simultaneously improve nutrition knowledge among fourth-grade students. Teachers can benefit from integration by meeting multiple academic standards, efficiently using limited classroom time, and increasing nutrition education provided in the classroom. © 2018, American School Health Association.

Some relations between twisted K-theory and E8 gauge theory

International Nuclear Information System (INIS)

Mathai, Varghese; Sati, Hisham

2004-01-01

Recently, Diaconescu, Moore and Witten provided a nontrivial link between K-theory and M-theory, by deriving the partition function of the Ramond-Ramond fields of Type IIA string theory from an E8 gauge theory in eleven dimensions. We give some relations between twisted K-theory and M-theory by adapting the method of Diaconescu-Moore-Witten and Moore-Saulina. In particular, we construct the twisted K-theory torus which defines the partition function, and also discuss the problem from the E8 loop group picture, in which the Dixmier-Douady class is the Neveu-Schwarz field. In the process of doing this, we encounter some mathematics that is new to the physics literature. In particular, the eta differential form, which is the generalization of the eta invariant, arises naturally in this context. We conclude with several open problems in mathematics and string theory. (author)

Provisional Approaches to Goals for School Mathematics; Cambridge Conference on School Mathematics Feasibility Study No. 37.

Science.gov (United States)

Cambridge Conference on School Mathematics, Newton, MA.

These materials were written with the aim of reflecting the thinking of Cambridge Conference on School Mathematics (CCSM) regarding the goals and objectives for school mathematics K-6. In view of the experiences of other curriculum groups and of the general discussions since 1963, the present report initiates the next step in evolving the "Goals".…

Problem-Based Learning in K-8 Mathematics and Science Education: A Literature Review

Science.gov (United States)

Merritt, Joi; Lee, Mi Yeon; Rillero, Peter; Kinach, Barbara M.

2017-01-01

This systematic literature review was conducted to explore the effectiveness of problem-based and project-based learning (PBL) implemented with students in early elementary to grade 8 (ages 3-14) in mathematics and science classrooms. Nine studies met the following inclusion criteria: (a) focus on PBL, (b) experimental study, (c) kindergarten to…

Mathematics curriculum in Ireland: The ınfluence of PISA on the development of project maths

Directory of Open Access Journals (Sweden)

Liz Kirwan

2015-12-01

Full Text Available This article interrogates the extent to which the Organization for Economic Cooperation and Development (OECD through its Programme for International Student Assessment (PISA influenced the development of Project Maths, a new second-level mathematics education policy in Ireland. It argues that the Irish government, in its revision of mathematics education policy, was strongly influenced by PISA and that concern with the country’s ‘average’ placement in the international assessment was instrumental in defining the direction of the revision. It traces the genetic imprint of PISA on the development of curriculum policy, the new mathematics syllabus, its content and assessment. It argues that Project Maths sets out to follow closely the PISA conceptual framework. However, the analysis finds that Project Maths is not a mini-PISA but that the programme is comprised of two distinct approaches, on the one hand retaining the abstract, symbolic mathematics of sections of the pre-existing curriculum, while on the other emphasizing a PISA-like approach to pedagogy and to real-life problem solving.

Turkish Primary School Students' Strategies in Solving a Non-Routine Mathematical Problem and Some Implications for the Curriculum Design and Implementation

Science.gov (United States)

Erdogan, Abdulkadir

2015-01-01

Turkish primary mathematics curriculum emphasizes the role of problem solving for teaching mathematics and pays particular attention to problem solving strategies. Patterns as a subject and the use of patterns as a non-routine problem solving strategy are also emphasized in the curriculum. The primary purpose of this study was to determine how…

The Secondary School Mathematics Curriculum Improvement Study Goals-The Subject Matter-Accomplishments

Science.gov (United States)

Fehr, Howard F.

1970-01-01

Describes an experimental study attempting to construct a unified school mathematics curriculum for grades seven through twelve. Study was initiated in 1965 and is to be a six-year study. The total program includes, in the following order, syllabus writing, conferences, writing of experimental textbook, education of classroom teachers, pilot class…

SYMBIOSIS: Development, Implementation, and Assessment of a Model Curriculum across Biology and Mathematics at the Introductory Level

Science.gov (United States)

Depelteau, Audrey M.; Joplin, Karl H.; Govett, Aimee; Miller, Hugh A., III; Seier, Edith

2010-01-01

With the support of the East Tennessee State University (ETSU) administration and a grant from Howard Hughes Medical Institute, the departments of Biological Sciences, Mathematics and Statistics, and Curriculum and Instruction have developed a biology-math integrated curriculum. An interdisciplinary faculty team, charged with teaching the 18…

A K-6 Computational Thinking Curriculum Framework : Implications for Teacher Knowledge

NARCIS (Netherlands)

Angeli, C.; Voogt, J.; Fluck, A.; Webb, M.; Cox, M.; Malyn-Smith, J.; Zagami, J.

2016-01-01

Adding computer science as a separate school subject to the core K-6 curriculum is a complex issue with educational challenges. The authors herein address two of these challenges: (1) the design of the curriculum based on a generic computational thinking framework, and (2) the knowledge teachers

Contradictions and shifts in teaching with a new curriculum: The role of mathematics

DEFF Research Database (Denmark)

Stouraitis, Konstantinos; Potari, Despina; Skott, Jeppe

2015-01-01

In the framework of Cultural Historical Activity Theory (AT) contradictions are sources of change and development. Borrowing concepts from AT we attempt an interpretation of identified contradictions in a collaborative context where teachers plan and evaluate their teaching in the process...... of enacting a new mathematics curriculum. We examine the connection between contradictions and shifts in teaching activity, with a special focus on the mathematical character of these contradictions. We claim that dialectical oppositions lying in the background of these contradictions promote teachers...

Using Mathematics in Science: Working with Your Mathematics Department

Science.gov (United States)

Lyon, Steve

2014-01-01

Changes to the mathematics and science curriculums are designed to increase rigour in mathematics, and place greater emphasis on mathematical content in science subjects at key stages 3, 4 and 5 (ages 11-18). One way to meet the growing challenge of providing increased emphasis on mathematics in the science curriculum is greater collaboration…

The Effects of Integrating LEGO Robotics into a Mathematics Curriculum to Promote the Development of Proportional Reasoning

Science.gov (United States)

Casler-Failing, Shelli L.

2017-01-01

This mixed methods, action research case study sought to investigate the effects of incorporating LEGO robotics into a seventh grade mathematics curriculum focused on the development of proportional reasoning through the lens of Social Constructivist Theory. Quantitative data was collected via pre- and post-tests from the mathematics class of six…

Exploring Sun-Earth Connections: A Physical Science Program for (K-8)Teachers

Science.gov (United States)

Michels, D. J.; Pickert, S. M.; Thompson, J. L.; Montrose, C. J.

2003-12-01

An experimental, inquiry-based physical science curriculum for undergraduate, pre-service K-8 teachers is under development at the Catholic University of America in collaboration with the Solar Physics Branch of the Naval Research Laboratory and NASA's Sun-Earth Connection missions. This is a progress report. The current, stunningly successful exploratory phase in Sun-Earth Connection (SEC) physics, sparked by SOHO, Yohkoh, TRACE, and other International Solar Terrestrial Physics (ISTP) and Living With a Star (LWS) programs, has provided dynamic, visually intuitive data that can be used for teaching basic physical concepts such as the properties of gravitational and electromagnetic fields which are manifest in beautiful imagery of the astrophysical plasmas of the solar atmosphere and Earth's auroras. Through a team approach capitalizing on the combined expertise of the Catholic University's departments of Education and Physics and of NRL solar researchers deeply involved in SEC missions we have laid out a program that will teach non-science-major undergraduates a very limited number of physical science concepts but in such a way as to develop for each one both a formal understanding and an intuitive grasp that will instill confidence, spark interest and scientific curiosity and, ideally, inspire a habit of lifetime inquiry and professional growth. A three-semester sequence is planned. The first semester will be required of incoming Education freshmen. The second and third semesters will be of such a level as to satisfy the one-year science requirement for non-science majors in the College of Arts and Sciences. The approach as adopted will integrate physics content and educational methods, with each concept introduced through inquiry-based, hands-on investigation using methods and materials directly applicable to K-8 teaching situations (Exploration Phase). The topic is further developed through discussion, demonstration and lecture, introducing such mathematical

Code to Learn: Where Does It Belong in the K-12 Curriculum?

Directory of Open Access Journals (Sweden)

Jesús Moreno León

2016-06-01

Full Text Available The introduction of computer programming in K-12 has become mainstream in the last years, as countries around the world are making coding part of their curriculum. Nevertheless, there is a lack of empirical studies that investigate how learning to program at an early age affects other school subjects. In this regard, this paper compares three quasi-experimental research designs conducted in three different schools (n=129 students from 2nd and 6th grade, in order to assess the impact of introducing programming with Scratch at different stages and in several subjects. While both 6th grade experimental groups working with coding activities showed a statistically significant improvement in terms of academic performance, this was not the case in the 2nd grade classroom. Notable disparity was also found regarding the subject in which the programming activities were included, as in social studies the effect size was double that in mathematics.

Teaching mathematics in the context of curriculum change

Directory of Open Access Journals (Sweden)

Nico Molefe

2010-07-01

Full Text Available This paper examines the practices of two Grade 10 mathematics teachers as they implemented the new FET curriculum. As we analysed their practices we found that current descriptions of reform and traditional practices were inadequate to describe the similarities and differences between them. We therefore developed a set of elaborated categories, which distinguish reform‐oriented from traditionally‐oriented practices. We use these categories to analyse the two teachers’ practices and we use the teachers’ practices to illuminate the categories. We show that although some of the teachers’ practices may seem similar on the surface, in fact one teacher employed these in a more strongly reform‐oriented way than the other.

Exploring Teachers' Descriptions of 'Ways of Working with the Curriculum' in Teaching Mathematics and Statistics

Science.gov (United States)

Umugiraneza, Odette; Bansilal, Sarah; North, Delia

2018-01-01

What teachers teach, how they teach it and when they teach it should be guided by the curriculum. This paper focuses on teachers' reports about how they integrate the curriculum documentation in teaching mathematics and statistics concepts. Questionnaires containing both Likert scale and closed and open-ended questions were administered to 75…

Enacting Curriculum Reform through Lesson Study: A Case Study of Mathematics Teacher Learning

Science.gov (United States)

Ni Shuilleabhain, Aoibhinn; Seery, Aidan

2018-01-01

Based in a time of major curriculum reform, this article reports on a qualitative case study of teacher professional development (PD) in the Republic of Ireland (ROI). Five mathematics teachers in an Irish secondary school were introduced to and participated in successive cycles of school-based lesson study (LS) over the course of one academic…

Utilising a construct of teacher capacity to examine national curriculum reform in mathematics

Science.gov (United States)

Zhang, Qinqiong; Stephens, Max

2013-12-01

This study involving 120 Australian and Chinese teachers introduces a construct of teacher capacity to analyse how teachers help students connect arithmetic learning and emerging algebraic thinking. Four criteria formed the basis of our construct of teacher capacity: knowledge of mathematics, interpretation of the intentions of official curriculum documents, understanding of students' thinking, and design of teaching. While these key elements connect to what other researchers refer to as mathematical knowledge for teaching, several differences are made clear. Qualitative and quantitative analyses show that our construct was robust and effective in distinguishing between different levels of teacher capacity.

How does the high school mathematics teacher prepares the learning process based on the 2013 curriculum 2017 revision

Science.gov (United States)

Latif, I. A.; Saputro, D. R. S.; Riyadi

2018-03-01

2013 Curriculum (K13) provides an opportunity for students to develop the potential attitudes, knowledge, and skills necessary for life and society and contribute to the welfare of human life. The K13 2017 revision requires teachers to integrate 21st-century skills in the learning process. They are consist of critical thinking and problem-solving, communication, creativity and innovation, and collaboration (4C skills), Higher Order Thinking Skills (HOTS), literacy movement, and character education. This study is a qualitative research that aims to describe the steps performed by a high school mathematics teacher in preparing the Lesson Plan (RPP) in accordance with K13 2017 revision. The subject of this study is a Civil Servant Mathematics teacher at SMAN 1 Wuryantoro, Wonogiri Regency. This study used interview method with time triangulation technique to obtain valid data. Based on the interviews it is concluded that in preparing the RPP in accordance with K13 revision 2017, the teacher is guided by The Minister of Education and Culture Regulation (Permendikbud) Number 22 of 2016 and Pedoman Penyusunan RPP Abad 21. The first step taken by the teacher in preparing and developing RPP is quoting KI from Permendikbud Number 21 2016 and KD from Permendikbud Number 24 of 2016. After that, teacher formulates Indicators of Competency Achievement (IPK) in accordance with KD, learning objectives in accordance with IPK, learning materials in accordance with IPK, learning activities integrating 21st-century skills and in line with learning objectives, learning assessment instruments, and learning reflection activities.

Engineering design skills coverage in K-12 engineering program curriculum materials in the USA

Science.gov (United States)

Chabalengula, Vivien M.; Mumba, Frackson

2017-11-01

The current K-12 Science Education framework and Next Generation Science Standards (NGSS) in the United States emphasise the integration of engineering design in science instruction to promote scientific literacy and engineering design skills among students. As such, many engineering education programmes have developed curriculum materials that are being used in K-12 settings. However, little is known about the nature and extent to which engineering design skills outlined in NGSS are addressed in these K-12 engineering education programme curriculum materials. We analysed nine K-12 engineering education programmes for the nature and extent of engineering design skills coverage. Results show that developing possible solutions and actual designing of prototypes were the highly covered engineering design skills; specification of clear goals, criteria, and constraints received medium coverage; defining and identifying an engineering problem; optimising the design solution; and demonstrating how a prototype works, and making iterations to improve designs were lowly covered. These trends were similar across grade levels and across discipline-specific curriculum materials. These results have implications on engineering design-integrated science teaching and learning in K-12 settings.

Alignment between South African mathematics assessment standards and the TIMSS assessment frameworks

Directory of Open Access Journals (Sweden)

Mdutshekelwa Ndlovu

2012-12-01

Full Text Available South Africa’s performance in international benchmark tests is a major cause for concern amongst educators and policymakers, raising questions about the effectiveness of the curriculum reform efforts of the democratic era. The purpose of the study reported in this article was to investigate the degree of alignment between the TIMSS 2003 Grade 8 Mathematics assessment frameworks and the Revised National Curriculum Statements (RNCS assessment standards for Grade 8 Mathematics, later revised to become the Curriculum and Assessment Policy Statements (CAPS. Such an investigation could help to partly shed light on why South African learners do not perform well and point out discrepancies that need to be attended to. The methodology of document analysis was adopted for the study, with the RNCS and the TIMSS 2003 Grade 8 Mathematics frameworks forming the principal documents. Porter’s moderately complex index of alignment was adopted for its simplicity. The computed index of 0.751 for the alignment between the RNCS assessment standards and the TIMSS assessment objectives was found to be significantly statistically low, at the alpha level of 0.05, according to Fulmer’s critical values for 20 cells and 90 or 120 standard points. The study suggests that inadequate attention has been paid to the alignment of the South African mathematics curriculum to the successive TIMSS assessment frameworks in terms of the cognitive level descriptions. The study recommends that participation in TIMSS should rigorously and critically inform ongoing curriculum reform efforts.

New Standards Require Teaching More Statistics: Are Preservice Secondary Mathematics Teachers Ready?

Science.gov (United States)

Lovett, Jennifer N.; Lee, Hollylynne S.

2017-01-01

Mathematics teacher education programs often need to respond to changing expectations and standards for K-12 curriculum and accreditation. New standards for high school mathematics in the United States include a strong emphasis in statistics. This article reports results from a mixed methods cross-institutional study examining the preparedness of…

La Evolucion del Curriculo de las Matematicas: Un Folleto para los Padres de Familia. (The Changing Mathematics Curriculum: A Booklet for Parents).

Science.gov (United States)

California State Dept. of Education, Sacramento.

This booklet, written in Spanish, provides a guide for parents to help their children become successful in school mathematics. The information is divided into four sections: (1) important facts about the mathematics curriculum and mathematics instruction; (2) expectations about participation, calculators, cooperative learning, dialogue, and…

Mathematics, the Computer, and the Impact on Mathematics Education.

Science.gov (United States)

Tooke, D. James

2001-01-01

Discusses the connection between mathematics and the computer; mathematics curriculum; mathematics instruction, including teachers learning to use computers; and the impact of the computer on learning mathematics. (LRW)

Exploring the Associations among Nutrition, Science, and Mathematics Knowledge for an Integrative, Food-Based Curriculum

Science.gov (United States)

Stage, Virginia C.; Kolasa, Kathryn M.; Díaz, Sebastián R.; Duffrin, Melani W.

2018-01-01

Background: Explore associations between nutrition, science, and mathematics knowledge to provide evidence that integrating food/nutrition education in the fourth-grade curriculum may support gains in academic knowledge. Methods: Secondary analysis of a quasi-experimental study. Sample included 438 students in 34 fourth-grade classrooms across…

'Mathematical model of K Capture and its implications'

International Nuclear Information System (INIS)

Angus, Andrew C.

2000-01-01

The mechanism of K Capture, the nuclear absorption of electron in the K shell, as induced by electricity, is explained in this article. Furthermore, a mathematical model of K Capture is formulated. Then, K Capture is applied to explain the negative results obtained by Steven Jones and the positive results obtained by Pons-Fleischmann in Deuterium Oxide Electrolysis Experiments. The most important implication of K Capture is the possibility of obtaining nuclear energy by fusion at low temperature from heavy water

Developing a Learning Progression for Curriculum, Instruction, and Student Learning: An Example from Mathematics Education

Science.gov (United States)

Fonger, Nicole L.; Stephens, Ana; Blanton, Maria; Isler, Isil; Knuth, Eric; Gardiner, Angela Murphy

2018-01-01

Learning progressions have been demarcated by some for science education, or only concerned with levels of sophistication in student thinking as determined by logical analyses of the discipline. We take the stance that learning progressions can be leveraged in mathematics education as a form of curriculum research that advances a linked…

SYMBIOSIS: development, implementation, and assessment of a model curriculum across biology and mathematics at the introductory level.

Science.gov (United States)

Depelteau, Audrey M; Joplin, Karl H; Govett, Aimee; Miller, Hugh A; Seier, Edith

2010-01-01

"It takes a lot of courage to release the familiar and seemingly secure, to embrace the new. But there is no real security in what is no longer meaningful. There is more security in the adventurous and exciting, for in movement there is life, and in change there is power." Alan Cohen (Used by permission. All rights reserved. For more information on Alan Cohen's books and programs, see (www.alancohen.com.) With the support of the East Tennessee State University (ETSU) administration and a grant from Howard Hughes Medical Institute, the departments of Biological Sciences, Mathematics and Statistics, and Curriculum and Instruction have developed a biology-math integrated curriculum. An interdisciplinary faculty team, charged with teaching the 18 curriculum modules, designed this three-semester curriculum, known as SYMBIOSIS. This curriculum was piloted to two student cohorts during the developmental stage. The positive feedback and assessment results of this project have given us the foundation to implement the SYMBIOSIS curriculum as a replacement for the standard biology majors curriculum at the introductory level. This article addresses the history and development of the curriculum, previous assessment results and current assessment protocol, and the future of ETSU's approach to implementing the SYMBIOSIS curriculum.

Integration of Technology, Curriculum, and Professional Development for Advancing Middle School Mathematics: Three Large-Scale Studies

Science.gov (United States)

Roschelle, Jeremy; Shechtman, Nicole; Tatar, Deborah; Hegedus, Stephen; Hopkins, Bill; Empson, Susan; Knudsen, Jennifer; Gallagher, Lawrence P.

2010-01-01

The authors present three studies (two randomized controlled experiments and one embedded quasi-experiment) designed to evaluate the impact of replacement units targeting student learning of advanced middle school mathematics. The studies evaluated the SimCalc approach, which integrates an interactive representational technology, paper curriculum,…

Ethnomathematics: the cultural aspects of mathematics

Directory of Open Access Journals (Sweden)

Milton Rosa

2011-01-01

Full Text Available Ethnomathematics studies the cultural aspects of mathematics. It presents mathematical concepts of the school curriculum in a way in which these concepts are related to the students¿ cultural and daily experiences, thereby enhancing their abilities to elaborate meaningful connections and deepening their understanding of mathematics. Ethnomathematical approaches to mathematics curriculum are intended to make school mathematics more relevant and meaningful for students and to promote the overall quality of their education. In this context, the implementation of an ethnomathematical perspective in the school mathematics curriculum helps to develop students' intellectual, social, emotional, and political learning by using their own unique cultural referents to impart their knowledge, skills, and attitudes. This kind of curriculum provides ways for students to maintain their identity while succeeding academically.

Ethnomathematics: the cultural aspects of mathematics

Directory of Open Access Journals (Sweden)

Milton Rosa

2011-09-01

Full Text Available Ethnomathematics studies the cultural aspects of mathematics. It presents mathematical concepts of the school curriculum in a way in which these concepts are related to the students’ cultural and daily experiences, thereby enhancing their abilities to elaborate meaningful connections and deepening their understanding ofmathematics. Ethnomathematical approaches to mathematics curriculum are intended to make school mathematics more relevant and meaningful for students and to promote the overall quality of their education.In this context, the implementation of an ethnomathematical perspective in the school mathematics curriculum helps to develop students’ intellectual, social, emotional, and political learning by using their own unique cultural referents to impart their knowledge, skills, and attitudes. This kind of curriculum providesways for students to maintain their identity while succeeding academically.

Destrezas de Matematica: Curriculo Basico. Guia para el Maestro (Mathematics Skills: Basic Curriculum. Teacher's Guide).

Science.gov (United States)

Puerto Rico State Dept. of Education, Hato Rey. Office of Special Education.

The fundamental importance of basic mathematics to daily life is emphasized in this teacher's guide for special education teachers in Puerto Rico. While it is necessary for the teacher to determine the needs and abilities of each student and adapt the curriculum accordingly, this guide presents, in Spanish, a set of lesson plans, each with an…

Enhancing Parent Involvement in NC-CCSS for K-2 Mathematics

Science.gov (United States)

Johnson, D.

2014-12-01

Key Terms:Parent Involvement, Common Core State Standards, Homework, K - 2 Mathematics In this study, the 2014 REU math team developed and provided a workshop that assisted parents in understanding the North Carolina Common Core State Standards for K-2 Mathematics to assist with student homework assignments. Parent involvement is defined as parent participating in the educational processes and experiences of their children. A chi-square analysis was used to analyze data collected from the pre survey and the post survey administered to participants in the workshop. The study revealed all of the individual components of parent involvement were positively and significantly related to educational goals. The study identified various aspects of parent involvement that yielded statistically significant results in affirming that parent involvement attributed to urban student achievement. These findings were particularly helpful for indicating which kinds of parent involvement influenced academic success. Most notably, parent expectations and styles demonstrated a strong relationship with scholastic outcomes. Parent expectations and styles created an educationally oriented ambience that established an understanding of the certain level of support the child needed to succeed academically. The REU mathematics team focused on three essential questions in this study: (1) What practices will increase parent awareness of K-2 NC-CCSS for mathematics at P. W. Moore Elementary School? (2) What methods can be used to strengthen parent skills in assisting with mathematics homework assignments at P. W. Moore Elementary School? (3) What actions can be taken to motivate parent involvement in the school improvement process focusing on mathematics at P. W. Moore Elementary School?

Interdisciplinary Student/Teacher Materials in Energy, the Environment, and the Economy: Mathematics in Energy, Grades 8-9.

Science.gov (United States)

Brown, Evelyn; And Others

This publication is part of a series of instructional units produced by NSTA's Project for an Energy-Enriched Curriculum. The teacher's manual and the student guide for a mathematics unit in this series are presented here. This unit attempts to teach students some necessary mathematical skills needed to understand quantitative facts about energy.…

Playing Your Cards Right: Integers for Algebra

Science.gov (United States)

Tillema, Erik; Gatza, Andrew; Ulrich, Catherine

2017-01-01

The number and algebra strand of the "Australian Curriculum: Mathematics" (2015) advocates for holding together the study of number and algebra across years K-8--a position that mathematics educators have endorsed in many countries. This recommendation along with the report "Shape of the Australian Curriculum: Mathematics"…

Elementary School Quality: The Mathematics Curriculum and the Role of Local Knowledge.

Science.gov (United States)

Balfanz, Robert

This report considers how the mathematical knowledge children develop on their own outside of formal school instruction can be used to increase the distribution and level of mathematical knowledge attained by students in grades K-3. Included are preliminary results of an investigation of the counting and calculating abilities brought to…

School Mathematics Leaders' Perceptions of Successes and Challenges of Their Leadership Role within a Mathematics Improvement Project

Science.gov (United States)

Sexton, Matt; Downton, Ann

2014-01-01

The mathematics curriculum leader plays an important role in leading the mathematics curriculum in primary schools. They experience successes and face challenges associated with this leadership role. The perceptions that 25 mathematics leaders held about the successes and challenges they experienced whilst participating in a school mathematics…

Common Core Math in the K-8 Classroom: Results from a National Teacher Survey

Science.gov (United States)

Bay-Williams, Jennifer

2016-01-01

Successful implementation of the Common Core State Standards for Mathematics (CCSS-M) should result in noticeable differences in primary and middle school math classrooms across the United States. "Common Core Math in the K-8 Classroom: Results from a National Teacher Survey" takes a close look at how educators are implementing the…

The TI-Nspire CAS: A Happy-Medium Mobile Device for Grades 8-16 Mathematics Classrooms

Science.gov (United States)

Zelkowski, Jeremy

2011-01-01

This article justifies classifying the TI-Nspire CAS Touchpad as a mobile device for grades 8-16 mathematics classrooms equipped with a Navigator system. The 2010 Horizon Report: K-12 indicates virtually every secondary school aged child has some sort of mobile device. Yet, many school policies ban the use of mobile devices, preventing students…

Spatial Visualization as Mediating between Mathematics Learning Strategy and Mathematics Achievement among 8th Grade Students

Science.gov (United States)

Rabab'h, Belal; Veloo, Arsaythamby

2015-01-01

Jordanian 8th grade students revealed low achievement in mathematics through four periods (1999, 2003, 2007 & 2011) of Trends in International Mathematics and Science Study (TIMSS). This study aimed to determine whether spatial visualization mediates the affect of Mathematics Learning Strategies (MLS) factors namely mathematics attitude,…

Mathematical modeling courses for Media technology students

DEFF Research Database (Denmark)

Timcenko, Olga

2009-01-01

This paper addresses curriculum development for Mathematical Modeling course at Medialogy education. Medialogy as a study line was established in 2002 at Faculty for Engineering and Natural Sciences at Aalborg University, and mathematics curriculum has already been revised three times, Mathematic...

Six Units for Primary (K-2) Gifted/Talented Students. Self (Psychology), Plants (Botany), Animals (Zoology), Measurement (Mathematics), Space (Astronomy), Computers (Technology).

Science.gov (United States)

McCallister, Corliss

This curriculum for gifted/talented students in kindergarten through grade 2 focuses on the cognitive, affective, and psychomotor domains in the areas of language arts, mathematics, music, physical education (dance), science, social studies, theatre, and visual arts. The curriculum is student centered, experientially based, exploratory,…

Curriculum Guide for Music Education, K-12. Bulletin 1978, No. 18.

Science.gov (United States)

Alabama State Dept. of Education, Montgomery.

This curriculum guide contains objectives, activities, and evaluation procedures for a K-12 music education program. It would be useful to anyone responsible for teaching music. The authors believe that music education has the dual obligation of developing the aesthetic sensitivity of all students regardless of their individual levels of musical…

Matematicas en la vida actual. Volumen III, edicion para el maestro. (Mathematics: A Practical View. Volume III, Teacher Edition). Applied Basic Curriculum Series.

Science.gov (United States)

Evaluation, Dissemination and Assessment Center, Dallas.

This Spanish language teacher's edition of a practical mathematics text for the intermediate grades contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate interest in…

Guida Didattica per l'Insegnamento della Matematica. Livelli G, H = Mathematics Curriculum Guide for Italian-Speaking Students, Levels G and H. Working Draft.

Science.gov (United States)

Chicago Board of Education, IL. Dept. of Curriculum.

The curriculum guide is for levels G and H of the mathematics segment of Chicago's bilingual education program for limited-English-speaking native Italian-speaking students. It includes specific instructional objectives and worksheets for teaching the mathematical concepts of place value, whole numbers, rational numbers, measurement, geometry, and…

Matematicas en la vida actual. Volumen I, edicion para el maestro. (Mathematics: A Practical View. Volume I, Teacher Edition). Applied Basic Curriculum Series.

Science.gov (United States)

Evaluation, Dissemination and Assessment Center, Dallas.

This Spanish language teacher's edition of a practical mathematics text for the intermediate grades contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate interest in…

Matematicas en la vida actual. Volumen II, edicion para el maestro. (Mathematics: A Practical View. Volume II, Teacher Edition). Applied Basic Curriculum Series.

Science.gov (United States)

Evaluation, Dissemination and Assessment Center, Dallas.

This Spanish language teacher's edition of a practical mathematics text for the intermediate grades contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate interest in…

"Gaa-Noodin-Oke" (Alternative Energy/Wind Power): A Curriculum Implementation on the White Earth Reservation

Science.gov (United States)

Guzey, Siddika Selcen; Nyachwaya, James; Moore, Tamara J.; Roehrig, Gillian H.

2014-01-01

A wind energy focused curriculum for grades 4-8 was designed and implemented to promote the understanding of wind energy concepts with American Indian students. 57 students who participated in the 2009 summer program of the "Reach for the Sky" (RFTS) Science, Technology, Engineering, and Mathematics (STEM) received the curriculum. The…

Mountain-Plains Curriculum.

Science.gov (United States)

Mountain-Plains Education and Economic Development Program, Inc., Glasgow AFB, MT.

The document lists the Mountain-Plains curriculum by job title (where applicable), including support courses. The curriculum areas covered are mathematics skills, communication skills, office education, lodging services, food services, marketing and distribution, welding support, automotive, small engines, career guidance, World of Work, health…

Spacemakers: A Leadership Perspective on Curriculum and the Purpose of K-12 Educational Makerspaces

Science.gov (United States)

Harron, Jason R.; Hughes, Joan E.

2018-01-01

This qualitative research study investigated how educational makerspace leaders, whom we refer to as spacemakers, framed the purpose of the makerspace in K-12 education and how makerspaces support school curriculum. Using interviews with twelve K-12 spacemakers, the study found spacemakers were experienced, self-motivated educators. These leaders…

MathBrowser: Web-Enabled Mathematical Software with Application to the Chemistry Curriculum, v 1.0

Science.gov (United States)

Goldsmith, Jack G.

1997-10-01

MathSoft: Cambridge, MA, 1996; free via ftp from www.mathsoft.com. The movement to provide computer-based applications in chemistry has come to focus on three main areas: software aimed at specific applications (drawing, simulation, data analysis, etc.), multimedia applications designed to assist in the presentation of conceptual information, and packages to be used in conjunction with a particular textbook at a specific point in the chemistry curriculum. The result is a situation where no single software package devoted to problem solving can be used across a large segment of the curriculum. Adoption of World Wide Web (WWW) technology by a manufacturer of mathematical software, however, has produced software that provides an attractive means of providing a problem-solving resource to students in courses from freshman through senior level.

Systematic study of K+ and K- charge exchange at 8.36 and 12.8 GeV/c

International Nuclear Information System (INIS)

Gilchriese, M.G.D.

1977-08-01

The results of a wire chamber spectrometer experiment at the Stanford Linear Accelerator Center to study kaon charge exchange reactions are reported. The salient experimental features include good relative normalization between the K + and K - charge exchange reactions and a large increase, with respect to previous experiments, in the number of events obtained for K + n charge exchange at the higher energy. Approximately 1500 events at 12.8 GeV/c and 250 events at 8.36 GeV/c were obtained for each of the reactions K + n → K 0 p, K - p → anti K 0 n, K + p → K 0 Δ 2+ and K - n → anti K 0 Δ - . The results of the experiment show that the K + charge exchange cross sections are larger than the K - cross sections at both energies. In particular it is found that sigma/sub tot/ (K + n → K 0 p)/sigma/sub tot/ (K - p → anti K 0 n) is 1.37 +- 0.22 at 8.36 GeV/c and 1.38 +- 0.09 at 12.8 GeV/c. The ratio of these two reactions is also consistent with no momentum transfer dependence at either beam energy. Similarly it was determined that sigma/sub tot/ (K + p → K 0 Δ 2+ )/sigma/sub tot/ (K - n → anti K 0 Δ - ) is 1.05 +- 0.16 at 8.36 GeV/c and 1.56 +- 0.08 at 12.8 GeV/c. The ratio of these two reactions is also consistent with momentum transfer independence for both beam energies. These results are in clear conflict with the predictions of exchange degenerate Regge pole models

Sign Language for K-8 Mathematics by 3D Interactive Animation

Science.gov (United States)

Adamo-Villani, Nicoletta; Doublestein, John; Martin, Zachary

2005-01-01

We present a new highly interactive computer animation tool to increase the mathematical skills of deaf children. We aim at increasing the effectiveness of (hearing) parents in teaching arithmetic to their deaf children, and the opportunity of deaf children to learn arithmetic via interactive media. Using state-of-the-art computer animation…

Ocean Sciences Sequence for Grades 6-8: Climate Change Curriculum Developed Through a Collaboration Between Scientists and Educators

Science.gov (United States)

Weiss, E.; Skene, J.; Tran, L.

2011-12-01

aligns with the Ocean Literacy and Climate Literacy Frameworks, as well as multiple core ideas in the new National Academy of Sciences Framework for K-12 Science Education. In brief, the curriculum comprises 33 45-minute sessions organized into three thematic units that are each driven by an exploratory question: Unit 1 (11 sessions)-How do the ocean and atmosphere interact?; Unit 2 (8 sessions)-How does carbon flow through the ocean, land, and atmosphere?; and Unit 3 (12 sessions)-What are the causes and effects of climate change? The curriculum deliberately explores the ocean and climate as global systems, and challenges students to use scientific evidence to make explanations about climate change. The Ocean Sciences Sequence for Grades 6-8 is currently being classroom tested by teachers across the United States in a wide variety of classroom settings. Evaluation is also being undertaken to determine the efficacy of the sequence in addressing the curriculum's learning goals.

The same teacher, the same curriculum materials, different schools: What is the enacted curriculum?

Science.gov (United States)

Eisenmann, Tammy

This research examines how the same teacher implements the same curriculum material in two different schools. The aim of the study is to examine how the enacted algebra curriculum may change when the same teacher enacts the same written curriculum materials in different classes. This research comprises two case studies. Each case examines one teacher who taught the beginning of the mathematical topic "equivalent algebraic expressions", to two 7th grade classes from different schools. The same textbook was used in all four classes. The data collected includes: 1. Observations: 25930 lessons throughout the school year in each of the participating classes; Other mathematics classes in each of the schools; Other non9mathematics classes in the participating classes. A total of 130 lessons were observed. The observations included continuous observations of the teaching of "equivalent algebraic expressions" (15919 lessons) in each class. These observations are the main data source of this research; 2. Interviews with the teachers; 3. Informal conversations; and 4. Field notes. The data was analyzed both through quantitative and qualitative analysis. The research focuses on the following two aspects of the enacted curriculum: implementation of the recommendation that appeared in the curriculum materials and the types of algebraic activity that the students were exposed to during the teaching of the mathematical topic. Kieran's framework (Kieran, 1996, 2004), which distinguishes between three types of algebraic activities 9 generational, transformational and global/meta9level 9 was employed for the examination of the algebraic activities. Comparisons were made for two aspects of the research: between the enacted curriculum in each of the classes and the curriculum materials; and between each of the classes taught by same teacher. It was found that in case study 1, that examined teacher Sara and schools Carmel and Tavor -- most of the recommendations for instruction that

The role of a critical ethnomathematics curriculum in transforming and empowering learners

Directory of Open Access Journals (Sweden)

Nirmala Naresh

2015-07-01

Full Text Available When thinking about mathematics, seldom does one think about culture, context, history, or diversity. Many teachers believe that there is no place for such constructs in their mathematics classrooms. As an ethnomathematician, my primary goal is to find meaningful ways to bring components of ethnomathematics into the mainstream mathematics curriculum and classrooms. In this paper, I describe key aspects of a mathematics curriculum that was designed to promote meaningful connections between ethnomathematics theory and practice and highlight how this curriculum might help address the key tenets of a critical ethnomathematics curriculum.

Mathematical Models of Elementary Mathematics Learning and Performance. Final Report.

Science.gov (United States)

Suppes, Patrick

This project was concerned with the development of mathematical models of elementary mathematics learning and performance. Probabilistic finite automata and register machines with a finite number of registers were developed as models and extensively tested with data arising from the elementary-mathematics strand curriculum developed by the…

Curriculum Framework (CF) Implementation Conference. Report of the Regional Educational Laboratory Network Program and the National Network of Eisenhower Mathematics and Science Regional Consortia (Hilton Head Island, South Carolina, January 26-27, 1995).

Science.gov (United States)

Palmer, Jackie; Powell, Mary Jo

The Laboratory Network Program and the National Network of Eisenhower Mathematics and Science Regional Consortia, operating as the Curriculum Frameworks Task Force, jointly convened a group of educators involved in implementing state-level mathematics or science curriculum frameworks (CF). The Hilton Head (South Carolina) conference had a dual…

Archbishop Porter Girls' Senior High School Students' Perception of Difficult Concepts in Senior High School Further Mathematics Curriculum in Ghana

OpenAIRE

Senyefia Bosson-Amedenu

2017-01-01

Further Mathematics is frequently perceived as a subject set aside for some exceptional individuals. It often induces feelings of worry; nervousness and panic among students. This study employed the survey research design aimed at investigating difficult concepts in senior secondary school further mathematics curriculum as perceived by students in Archbishop Porter Girls’ Senior High School in Ghana. The study was guided by two research questions and the sample for the study was 100, all of w...

The Mathematics Teacher and Curriculum Change (El Profesor de Matemáticas y el Cambio de Currículo

Directory of Open Access Journals (Sweden)

Jeremy Kilpatrick

2009-03-01

Full Text Available One of the most compelling lessons of the new math reform era —from the mid 1950s to the mid 1970s— concerned the pivotal role of the mathematics teacher in effecting curriculum change. Recent efforts to change the school mathematics curriculum are rediscovering that old lesson: The teacher is the key to change. Consequently, when teachers are confronted with arguments against the direction that proposals for curriculum change are taking, it is important for them to analyze and discuss the proposed changes. Recent experiences in the United States, which does not have the same centralized curriculum organization as Portugal but which is experiencing some of the same proposals and arguments against them, may be helpful in understanding the role that teachers can play in the social process of creating a curriculum. Una de las lecciones más destacadas extraídas de la era de la reforma de la matemática moderna hacía referencia al papel esencial que el profesor de matemáticas desempeñaba en el cambio del currículo. Los recientes esfuerzos por cambiar el currículo de las matemáticas escolares están redescubriendo esta vieja lección: El profesor es la clave para el cambio. Consecuentemente, cuando los profesores argumentan en contra de las propuestas de cambio curricular, es importante que analicen y discutan los cambios propuestos. Las experiencias recientes en Estados Unidos, donde no existe la misma organización curricular centralizada de Portugal pero que experimenta parte de las mismas propuestas y argumentos contra ellas, puede ser útil para comprender el papel que los profesores pueden jugar en el proceso social de creación de un currículo.

GOALS FOR SCHOOL MATHEMATICS, THE REPORT OF THE CONFERENCE ON SCHOOL MATHEMATICS (CAMBRIDGE, MASSACHUSETTS, 1963).

Science.gov (United States)

Educational Services, Inc., Watertown, MA.

REPORTED ARE THE TENTATIVE VIEWS OF A GROUP OF MATHEMATICIANS ON THE CONTENT OF A PRE-COLLEGE MATHEMATICS CURRICULUM THAT MIGHT CONCEIVABLY REPRESENT THE TYPE OF PROGRAM WHICH WILL BE OPERATING IN A FEW DECADES. THE COMMITTEE PRESENTS ITS VIEWS, NOT AS A CURRICULUM GUIDE FOR ADMINISTRATORS AND MATHEMATICS EDUCATORS, BUT AS A BASIS FOR DISCUSSION,…

Mathematical Contributions of the Mayas, Aztecs & Incas: A Native American Curriculum Unit for Middle and High School. NATAM XIX.

Science.gov (United States)

Stodola, Janet

Written to fulfill the requirements for a University of Minnesota College of Education off-campus Indian education course for public school teachers, this Native American curriculum unit for middle and high school reflects the mathematical achievements of the Maya, Aztec, and Inca Indians. The number systems, notation, and calendar techniques of…

Model program for the recruitment and preparation of high ability elementary mathematics/science teachers: A collaborative project among scientists, teacher educators and classroom teachers

Energy Technology Data Exchange (ETDEWEB)

1993-12-01

This teacher education program will provide a model for recruiting, educating and retaining high ability students to become mathematics and science lead teachers in elementary schools. The quality experiences and support provided these students will help them develop the knowledge and attitudes necessary to provide leadership for elementary mathematics and science programs. Students will have research experiences at the Ames Laboratory, high quality field experiences with nationally recognized mathematics and science teachers in local schools and opportunities to meaningfully connect these two experiences. This program, collaboratively designed and implemented by scientists, teacher educators and classroom teachers, should provide a replicatable model for other teacher education institutions. In addition, materials developed for the project should help other laboratories interface more effectively with K-8 schools and help other teacher education programs incorporate real science and mathematics experience into their curriculum.

The Origins of Diverse Domains of Mathematics: Generalist Genes but Specialist Environments

OpenAIRE

Kovas, Y.; Petrill, S. A.; Plomin, R.

2007-01-01

The authors assessed 2,502 ten-year-old children, members of 1,251 pairs of twins, on a Web-based battery of problems from 5 diverse aspects of mathematics assessed as part of the U.K. national curriculum. This 1st genetic study into the etiology of variation in different domains of mathematics showed that the heritability estimates were moderate and highly similar across domains and that these genetic influences were mostly general. Environmental factors unique to each twin in a family (rath...

Approaches to teaching primary level mathematics

Directory of Open Access Journals (Sweden)

Caroline Long

2014-12-01

Full Text Available In this article we explore approaches to curriculum in the primary school in order to map and manage the omissions implicit in the current unfolding of the Curriculum and Assessment Policy Statement for mathematics. The focus of school-based research has been on curriculum coverage and cognitive depth. To address the challenges of teaching mathematics from the perspective of the learner, we ask whether the learners engage with the subject in such a way that they build foundations for more advanced mathematics. We firstly discuss three approaches that inform the teaching of mathematics in the primary school and which may be taken singly or in conjunction into organising the curriculum: the topics approach, the process approach, and the conceptual fields approach. Each of the approaches is described and evaluated by presenting both their advantages and disadvantages. We then expand on the conceptual fields approach by means of an illustrative example. The planning of an instructional design integrates both a topics and a process approach into a conceptual fields approach. To address conceptual depth within this approach, we draw on five dimensions required for understanding a mathematical concept. In conclusion, we reflect on an approach to curriculum development that draws on the integrated theory of conceptual fields to support teachers and learners in the quest for improved teaching and learning.

Mathematics, curriculum and assessment: The role of taxonomies in the quest for coherence

Directory of Open Access Journals (Sweden)

Caroline Long

2014-12-01

Full Text Available A challenge encountered when monitoring mathematics teaching and learning at high school is that taxonomies such as Bloom’s, and variations of this work, are not entirely adequate for providing meaningful feedback to teachers beyond very general cognitive categories that are difficult to interpret. Challenges of this nature are also encountered in the setting of examinations, where the requirement is to cover a range of skills and cognitive domains. The contestation as to the cognitive level is inevitable as it is necessary to analyse the relationship between the problem and the learners’ background experience. The challenge in the project described in this article was to find descriptive terms that would be meaningful to teachers. The first attempt at providing explicit feedback was to apply the assessment frameworks that include a content component and a cognitive component, namely knowledge, routine procedures, complex procedures and problem solving, currently used in the South African curriculum documents. The second attempt investigated various taxonomies, including those used in international assessments and in mathematics education research, for constructs that teachers of mathematics might find meaningful. The final outcome of this investigation was to apply the dimensions required to understand a mathematical concept proposed by Usiskin (2012: the skills-algorithm, property-proof, use-application and representation-metaphor dimension. A feature of these dimensions is that they are not hierarchical; rather, within each of the dimensions, the mathematical task may demand recall but may also demand the highest level of creativity. For our purpose, we developed a two-way matrix using Usiskin’s dimensions on one axis and a variation of Bloom’s revised taxonomy on the second axis. Our findings are that this two-way matrix provides an alternative to current taxonomies, is more directly applicable to mathematics and provides the

From Curriculum to Workplace Requirements: Do They "Match"?

Science.gov (United States)

Lomas, Gregor; Mills, Kelvin

2013-01-01

This paper examines correspondences and disjunctions within a national curriculum and between various aspects of its delivery, and how these align with the mathematical needs of the workplace. This is investigated in the context of the New Zealand school mathematics curriculum; the Numeracy Development Project; the senior school assessment regime,…

Under-Threes' Mathematical Learning--Teachers' Perspectives

Science.gov (United States)

Franzén, Karin

2014-01-01

This project highlights preschool teachers' views of toddlers' learning in mathematics. The Swedish national curriculum covers even the youngest children who are 1-3?years old. Interesting questions are thus: what should mathematics be for this age group and how should preschool teachers work with maths to achieve the curriculum objectives? Data…

Code to Learn: Where Does It Belong in the K-12 Curriculum?

Science.gov (United States)

Moreno-León, Jesús; Robles, Gregorio; Román-González, Marcos

2016-01-01

The introduction of computer programming in K-12 has become mainstream in the last years, as countries around the world are making coding part of their curriculum. Nevertheless, there is a lack of empirical studies that investigate how learning to program at an early age affects other school subjects. In this regard, this paper compares three…

Connecting mathematics learning through spatial reasoning

Science.gov (United States)

Mulligan, Joanne; Woolcott, Geoffrey; Mitchelmore, Michael; Davis, Brent

2018-03-01

Spatial reasoning, an emerging transdisciplinary area of interest to mathematics education research, is proving integral to all human learning. It is particularly critical to science, technology, engineering and mathematics (STEM) fields. This project will create an innovative knowledge framework based on spatial reasoning that identifies new pathways for mathematics learning, pedagogy and curriculum. Novel analytical tools will map the unknown complex systems linking spatial and mathematical concepts. It will involve the design, implementation and evaluation of a Spatial Reasoning Mathematics Program (SRMP) in Grades 3 to 5. Benefits will be seen through development of critical spatial skills for students, increased teacher capability and informed policy and curriculum across STEM education.

A Nonverbal Language for Imagining and Learning: Dance Education in K-12 Curriculum

Science.gov (United States)

Hanna, Judith Lynne

2008-01-01

Curriculum theorists have provided a knowledge base concerning aesthetics, agency, creativity, lived experience, transcendence, learning through the body, and the power of the arts to engender visions of alternative possibilities in culture, politics, and the environment. However, these theoretical threads do not reveal the potential of K-12 dance…

Modeling and Simulation for an 8 kW Three-Phase Grid-Connected Photo-Voltaic Power System

OpenAIRE

Cen Zhaohui

2017-01-01

Gird-connected Photo-Voltaic (PV) systems rated as 5-10 kW level have advantages of scalability and energy-saving, so they are very typical for small-scale household solar applications. In this paper, an 8 kW three-phase grid-connected PV system model is proposed and studied. In this high-fidelity model, some basic PV system components such as solar panels, DC-DC converters, DC-AC inverters and three-phase utility grids are mathematically modelled and organized as a complete simulation model....

Experimental and Mathematical Analysis of Multilayer Insulation below 80 K

CERN Document Server

Chorowski, M; Parente, C; Riddone, G

2000-01-01

The Large Hadron Collider [1], presently under construction at CERN, will make an extensive use of multilayer insulation system (MLI). The total surface to be insulated will be of about 80000 m2. A mathematical model has been developed to describe the heat flux through MLI from 80 K to 4.2 K. The total heat flux between the layers is the result of three distinct heat transfer modes: radiation, residual gas conduction and solid conduction. The mathematical model enables prediction of MLI behavior with regard to different MLI parameters, such as gas insulation pressure, number of layers and boundary temperatures. The calculated values have been compared to the experimental measurements carried out at CERN. Theoretical and experimental results revealed to be in good agreement, especially for insulation vacuum between 10-5 Pa and 10-3 Pa.

Gender Effects on Curriculum Elements Based on Mathematics and Science and Technology Teachers' Opinions: A Meta-Analysis for Turkish Studies

Science.gov (United States)

Küçüktepe, Seval Eminoglu; Yildiz, Nilgün

2016-01-01

The purpose of this study is to investigate the gender effect on elementary mathematics and science and technology teachers' opinions regarding curriculum elements which are objectives, content, learning situation and evaluation. Meta-analysis was used in order to analyze data. Two articles, 11 master and one doctorate thesis which were conducted…

KUSPACE: Embedding Science Technology and Mathematics Ambassador Activities in the Undergradiuate Engineering Curriculum

Science.gov (United States)

Welch, C.; Osborne, B.

The UK national STEM Ambassadors programme provides inspiring role models for school students in science, technology, engineering, mathematics (STEM) subjects. STEMNET, the national body responsible for STEM Ambassa- dors aims to provide more than 27,000 STEM Ambassadors nationwide by the end of 2011. This paper reports on a project at Kingston University to embed STEM Ambassador training and activity in Year 2 of the undergraduate Aerospace Engineering, Astronautics and Space Technology degree. The project, known as KUSPACE (Kingston University Students Providing Amazing Classroom Experiences), was conceived to develop students' communication, planning and presentation skills and build links between different cohort years, while providing a valuable contribution to local primary schools' STEM programmes and simultaneously raising the public engagement profile of the university. This paper describes the pedagogical conception of the KUSPACE, its implementation in the curriculum, the delivery of it in the university and schools and its effect on the undergraduate students, as well as identifying good practice and drawing attention to lessons learned.STEMNET (www.stemnet.org) is the UK's Science, Technol- ogy, Engineering and Mathematics Network. Working with a broad range of UK partners and funded by the UK govern- ment's Department for Business Innovation and Skills, STEMNET plays a significant role in ensuring that five to nineteen year olds and their teachers can experience a wide range of activities and schemes which enhance and enrich the school curriculum [1]. Covering all aspects of Science, Tech- nology, Engineering and Maths (STEM), these activities and schemes are designed both to increase STEM awareness and literacy in the young people and also to encourage more of them to undertake post-16 STEM qualifications and associated careers [2]. STEMNET operates through forty-five local con- tract holders around the UK which help the network deliver its

Status Report: Mathematics Curriculum-Development Projects Today

Science.gov (United States)

Arithmetic Teacher, 1972

1972-01-01

Brief reports on the Cambridge Conference on School Mathematics, Comprehensive School Mathematics Program, Computer-Assisted Instruction Projects at Stanford, Individually Prescribed Instruction Project, The Madison Project, Mathematics/Science Learning System, MINNEMAST, and School Mathematics Study Group. (MM)

Beyond Motivation: Exploring Mathematical Modeling as a Context for Deepening Students' Understandings of Curricular Mathematics

Science.gov (United States)

Zbiek, Rose Mary; Conner, Annamarie

2006-01-01

Views of mathematical modeling in empirical, expository, and curricular references typically capture a relationship between real-world phenomena and mathematical ideas from the perspective that competence in mathematical modeling is a clear goal of the mathematics curriculum. However, we work within a curricular context in which mathematical…

Growth in Rapid Automatized Naming from Grades K to 8 in Children with Math or Reading Disabilities

Science.gov (United States)

Mazzocco, Michèle M. M.; Grimm, Kevin J.

2013-01-01

Rapid automatized naming (RAN) is widely used to identify reading disabilities (RD) and has recently been considered a potential predictor of risk for mathematics learning disabilities (MLD). Here we longitudinally examine RAN performance from Grades K to 8, to view how growth on RAN response time differs for children with RD versus MLD. Across…

Cultural horizons for mathematics

Science.gov (United States)

Owens, Kay; Paraides, Patricia; Jannok Nutti, Ylva; Johansson, Gunilla; Bennet, Maria; Doolan, Pat; Peckham, Ray; Hill, John; Doolan, Frank; O'Sullivan, Dominic; Murray, Libbey; Logan, Patricia; McNair, Melissa; Sunnari, Vappu; Murray, Beatrice; Miller, Alissa; Nolan, John; Simpson, Alca; Ohrin, Christine; Doolan, Terry; Doolan, Michelle; Taylor, Paul

2011-06-01

As a result of a number of government reports, there have been numerous systemic changes in Indigenous education in Australia revolving around the importance of partnerships with the community. A forum with our local Dubbo community established the importance of working together and developed a model which placed the child in an ecological perspective that particularly noted the role of Elders and the place of the child in the family. However, there was also the issue of curriculum and mathematics education to be addressed. It was recognised that a colonised curriculum reduces the vision of what might be the potential for Indigenous mathematics education. This paper reports on the sharing that developed between our local community and some researchers and teachers from Sweden, Papua New Guinea and New Zealand. It has implications for recognising the impact of testing regimes, the teaching space, understanding the ways children learn, the curriculum, and teacher education. As a result of these discussions, a critical pedagogy that considers culture and place is presented as an ecocultural perspective on mathematics education. This perspective was seen as critical for the curriculum and learning experiences of Indigenous children.

Teach the Mathematics of Mathematicians

Directory of Open Access Journals (Sweden)

Peter Taylor

2018-04-01

Full Text Available The secondary-school mathematics curriculum is narrow in scope and technical in character; this is quite different from the nature of the discipline itself. As a result, it offers little inspiration to both students and teachers, and provides students with poor preparation for university mathematics courses and indeed for life. Over the past century, recently more than ever, there have been calls for change, for a curriculum that is true to the subject of mathematics as the creation and study of patterns and structures. While there are hopeful responses to this at the elementary level, there is almost nothing at the secondary level. Ironically, it is felt that in order to prepare students for university calculus, the secondary curriculum simply has to be what it is. This is a special case of a myth that needs to be destroyed.

Mathematical Modeling in the High School Curriculum

Science.gov (United States)

Hernández, Maria L.; Levy, Rachel; Felton-Koestler, Mathew D.; Zbiek, Rose Mary

2016-01-01

In 2015, mathematics leaders and instructors from the Society for Industrial and Applied Mathematics (SIAM) and the Consortium for Mathematics and Its Applications (COMAP), with input from NCTM, came together to write the "Guidelines for Assessment and Instruction in Mathematical Modeling Education" (GAIMME) report as a resource for…

Making the Learning of Mathematics More Meaningful

Science.gov (United States)

Ward, Robin A.

1998-01-01

In the early 1980's, the National Commission on Excellence in Education responded to the call for reform in the teaching and learning of mathematics. In particular, the Commission developed a document addressing the consensus that all students need to learn more, and often different, mathematics and that instruction in mathematics must be significantly revised. In a response to these calls for mathematics education reform, the National Council of Teachers of Mathematics (NCTM) developed its Curriculum and Evaluation Standards (1989) with a two-fold purpose: 1) to create a coherent vision of what it means to be mathematically literate in a world that relies on calculators and computers, and 2) to create a set of standards to guide the revisions of school mathematics curriculum.

(Re)Defining the Filipino: Notions of Citizenship in the New K+12 Curriculum

Science.gov (United States)

de los Reyes, Elizer Jay

2013-01-01

In June 2012, the Philippine government implemented what it called the K+12 Curriculum which reformed its basic education system by adding two more years of schooling to the then existing 10-year structure. Complicated by the long experience and participation of the Filipinos in the diaspora, the constantly lingering thought of leaving for greener…

Utah's New Mathematics Core

Science.gov (United States)

Utah State Office of Education, 2011

2011-01-01

Utah has adopted more rigorous mathematics standards known as the Utah Mathematics Core Standards. They are the foundation of the mathematics curriculum for the State of Utah. The standards include the skills and understanding students need to succeed in college and careers. They include rigorous content and application of knowledge and reflect…

The Integrated Early Childhood Curriculum.

Science.gov (United States)

Krogh, Suzanne

This textbook provides an outline of an integrated curriculum for early childhood education. Part 1 discusses the human element in school: the child and the teacher and child development. Part 2 contains the curriculum itself and covers the subjects of language, mathematics, science, social studies, art, music, and movement. Guidelines provide…

H-EtICT-K8 (Health Education through ICT for K-8): Computers and Your Health

Science.gov (United States)

Coklar, A. Naci; Sendag, Serkan; Eristi, S. Duygu

2007-01-01

This paper concentrates on a software prepared as a series of Health Education for K8 students in Turkey. Bearing in mind that healthy mind rests in a healthy body, the researchers prepared a series of software on different aspects of health. This specific software tries to donate the K8 students with healthy use of computers in everyday life.…

The 24-Hour Mathematical Modeling Challenge

Science.gov (United States)

Galluzzo, Benjamin J.; Wendt, Theodore J.

2015-01-01

Across the mathematics curriculum there is a renewed emphasis on applications of mathematics and on mathematical modeling. Providing students with modeling experiences beyond the ordinary classroom setting remains a challenge, however. In this article, we describe the 24-hour Mathematical Modeling Challenge, an extracurricular event that exposes…

Teaching secondary mathematics

CERN Document Server

Rock, David

2013-01-01

Solidly grounded in up-to-date research, theory and technology,?Teaching Secondary Mathematics?is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers, and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fourth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and comprehensive companion websi

Math in Motion: Origami in the Classroom. A Hands-On Creative Approach to Teaching Mathematics. K-8.

Science.gov (United States)

Pearl, Barbara

This perfect bound teacher's guide presents techniques and activities to teach mathematics using origami paper folding. Part 1 includes a history of origami, mathematics and origami, and careers using mathematics. Parts 2 and 3 introduce paper-folding concepts and teaching techniques and include suggestions for low-budget paper resources. Part 4…

Developing Mathematical Literacy through project work: A teacher/teaching perspective

Directory of Open Access Journals (Sweden)

Renuka Vithal

2006-10-01

Full Text Available The implementation of the new Mathematical Literacy curriculum in South Africa is assuming several different conceptions of mathematics and therefore also being realised through a range of different pedagogies. In this paper I begin from a particular privileging of a critical perspective in mathematics education, which I argue is one (among others of the forces shaping the new South African curriculum reforms, particularly the Mathematical Literacy curriculum. If so, then the case for a specific pedagogy, that of project work, can be shown to support the development of a mathematical literacy from a critical perspective. In this paper a particular set of conceptual tools, principles and practices associated with project work, as developed in the Scandanavian context but researched in South Africa, are elaborated from the perspective of teachers/teaching of mathematical literacy.

Integration of Geospatial Technologies into K-12 Curriculum: An Investigation of Teacher and Student Perceptions and Student Academic Achievement

Science.gov (United States)

Goldstein, Donna L.

2010-01-01

The purpose of this study was to explore outcomes of a GIS/GPS integration process: to (a) examine student responses to GIS and GPS inclusion in their curriculum, (b) determine whether a relationship exists between inclusion of GIS into existing K-12 curriculum and student achievement, (c) examine the effectiveness of GIS professional development…

Philosophical dimensions in mathematics education

CERN Document Server

Francois, Karen

2007-01-01

This book brings together diverse recent developments exploring the philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics education can be extended. The ten chapters in this book offer a balance between philosophy of and philosophy in mathematics education. Attention is paid to the implementation of a philosophy of mathematics within the mathematics curriculum.

Relationship between teachers' coverage of mathematics curriculum ...

African Journals Online (AJOL)

kofi.mereku

African Journal of Educational Studies in Mathematics and Sciences Vol. ... materials (MCM) and their schools' performance in mathematics ... should be created for mathematics teachers in high performing junior high schools to share their ... in syllabuses which are also spread out in text books, teachers' hand out, etc.

Examining Change in K-3 Teachers' Mathematical Knowledge, Attitudes, and Beliefs: The Case of Primarily Math

Science.gov (United States)

Kutaka, T. S.; Ren, L.; Smith, W. M.; Beattie, H. L.; Edwards, C. P.; Green, J. L.; Chernyavskiy, P.; Stroup, W.; Heaton, R. M.; Lewis, W. J.

2018-01-01

This study examines the impact of the Primarily Math Elementary Mathematics Specialist program on K-3 teachers' mathematical content knowledge for teaching, attitudes toward learning mathematics, and beliefs about mathematics teaching and learning. Three cohorts of teachers participating in the program were compared to a similar group of…

A Multisite Study of High School Mathematics Curricula and the Impact of Taking a Developmental Mathematics Course in College

Science.gov (United States)

Harwell, Michael; Dupuis, Danielle; Post, Thomas R.; Medhanie, Amanuel; LeBeau, Brandon

2014-01-01

The relationship between high school mathematics curricula and the likelihood of students who enroll in a developmental (non-credit bearing) course in college taking additional mathematics courses was studied. The results showed that high school mathematics curriculum, years of high school mathematics completed, and ACT mathematics scores were…

An Analysis of Mathematics Interventions: Increased Time-on-Task Compared with Computer-Assisted Mathematics Instruction

Science.gov (United States)

Calhoun, James M., Jr.

2011-01-01

Student achievement is not progressing on mathematics as measured by state, national, and international assessments. Much of the research points to mathematics curriculum and instruction as the root cause of student failure to achieve at levels comparable to other nations. Since mathematics is regarded as a gate keeper to many educational…

Discussing Perception, Determining Provision: Teachers' Perspectives on the Applied Options of A-Level Mathematics

Science.gov (United States)

Ward-Penny, Robert; Johnston-Wilder, Sue; Johnston-Wilder, Peter

2013-01-01

One-third of the current A-level mathematics curriculum is determined by choice, constructed out of "applied mathematics" modules in mechanics, statistics and decision mathematics. Although this choice arguably involves the most sizeable instance of choice in the current English school mathematics curriculum, and it has a significant…

Pursuing excellence in mathematics education essays in honor of Jeremy Kilpatrick

CERN Document Server

Silver, Edward

2014-01-01

​Chapters in this book recognize the more than forty years of sustained and distinguished lifetime achievement in mathematics education research and development of Jeremy Kilpatrick. Including contributions from a variety of skilled mathematics educators, this text honors Jeremy Kilpatrick, reflecting on his groundbreaking papers, book chapters, and books - many of which are now standard references in the literature - on mathematical problem solving, the history of mathematics education, mathematical ability and proficiency, curriculum change and its history, global perspectives on mathematics education, and mathematics assessment. Many chapters also offer substantial contributions of their own on important themes, including mathematical problem solving, mathematics curriculum, the role of theory in mathematics education, the democratization of mathematics, and international perspectives on the professional field of mathematics education.​.

Dissect, Design, and Customize the Curriculum

Science.gov (United States)

Tienken, Christopher H.

2013-01-01

Education bureaucrats in 45 states have approved the Common Core State Standards ([CCSS], 2010) as the de facto national curriculum. The implementation of the CCSS will be monitored by a national standardized test in language arts and mathematics. The confluence of a standardized curriculum enforced with a standardized test will entrench a…

Code to Learn: Where Does It Belong in the K-12 Curriculum?

OpenAIRE

Jesús Moreno León; Gregorio Robles; Marcos Román-González

2016-01-01

The introduction of computer programming in K-12 has become mainstream in the last years, as countries around the world are making coding part of their curriculum. Nevertheless, there is a lack of empirical studies that investigate how learning to program at an early age affects other school subjects. In this regard, this paper compares three quasi-experimental research designs conducted in three different schools (n=129 students from 2nd and 6th grade), in order to assess the impact of intro...

Back in Time on a Mathematics Trail

Science.gov (United States)

Moffett, Pamela

2010-01-01

The recently revised "Northern Ireland Primary Curriculum" recommends that teachers make use of the environment to extend children's understanding of mathematics. One approach to using the environment in mathematics is to take children on a mathematics trail. A mathematics trail uses the resources and features within the environment as a…

Middle-School Mathematics Teachers' Beliefs in NCTM's Vision

Science.gov (United States)

Perrin, John Robert

2012-01-01

This study examined the extent to which seventh- and eighth-grade mathematics teachers are aware of National Council of Teachers of Mathematics (NCTM) standards documents, Curriculum and Evaluation Standards for School Mathematics and Principles and Standards for School Mathematics and agree with NCTM's vision of school mathematics as expressed in…

Technology across the Curriculum. Proceedings of the Annual Conference of the Texas Computer Education Association (8th, Dallas, Texas, February 24-27, 1988).

Science.gov (United States)

Texas Computer Education Association, Lubbock.

The theme of this computer education conference was "Technology across the Curriculum." These proceedings include papers on the application of educational technologies in school administration, business education, computer science education, mathematics, science, social studies, English and language arts, elementary education, gifted and…

Mathematics Curriculum Guide for Spanish-Speaking Students, Levels E, F. Field Test. Working Draft = Guia didactica de matematicas, Niveles E, F. Edicion Experimental.

Science.gov (United States)

Chicago Board of Education, IL. Dept. of Curriculum.

The curriculum guide for mathematics instruction in the bilingual education program of the Chicago public schools is designed to assist teachers in the instruction of limited-English-speaking students in their native language. The guide outlines, for each of two levels, lessons on absolute and relative values of numbers, whole number operations,…

The Origins of Diverse Domains of Mathematics: Generalist Genes but Specialist Environments.

Science.gov (United States)

Kovas, Y; Petrill, S A; Plomin, R

2007-02-01

The authors assessed 2,502 ten-year-old children, members of 1,251 pairs of twins, on a Web-based battery of problems from 5 diverse aspects of mathematics assessed as part of the U.K. national curriculum. This 1st genetic study into the etiology of variation in different domains of mathematics showed that the heritability estimates were moderate and highly similar across domains and that these genetic influences were mostly general. Environmental factors unique to each twin in a family (rather than shared by the 2 twins) explained most of the remaining variance, and these factors were mostly specific to each domain.

The Origins of Diverse Domains of Mathematics: Generalist Genes but Specialist Environments

Science.gov (United States)

Kovas, Y.; Petrill, S. A.; Plomin, R.

2009-01-01

The authors assessed 2,502 ten-year-old children, members of 1,251 pairs of twins, on a Web-based battery of problems from 5 diverse aspects of mathematics assessed as part of the U.K. national curriculum. This 1st genetic study into the etiology of variation in different domains of mathematics showed that the heritability estimates were moderate and highly similar across domains and that these genetic influences were mostly general. Environmental factors unique to each twin in a family (rather than shared by the 2 twins) explained most of the remaining variance, and these factors were mostly specific to each domain. PMID:19756208

Computer programming in the UK undergraduate mathematics curriculum

Science.gov (United States)

Sangwin, Christopher J.; O'Toole, Claire

2017-11-01

This paper reports a study which investigated the extent to which undergraduate mathematics students in the United Kingdom are currently taught to programme a computer as a core part of their mathematics degree programme. We undertook an online survey, with significant follow-up correspondence, to gather data on current curricula and received replies from 46 (63%) of the departments who teach a BSc mathematics degree. We found that 78% of BSc degree courses in mathematics included computer programming in a compulsory module but 11% of mathematics degree programmes do not teach programming to all their undergraduate mathematics students. In 2016, programming is most commonly taught to undergraduate mathematics students through imperative languages, notably MATLAB, using numerical analysis as the underlying (or parallel) mathematical subject matter. Statistics is a very popular choice in optional courses, using the package R. Computer algebra systems appear to be significantly less popular for compulsory first-year courses than a decade ago, and there was no mention of logic programming, functional programming or automatic theorem proving software. The modal form of assessment of computing modules is entirely by coursework (i.e. no examination).

Assessing the Potential of Mathematics Textbooks to Promote Deep Learning

Science.gov (United States)

Shield, Malcolm; Dole, Shelley

2013-01-01

Curriculum documents for mathematics emphasise the importance of promoting depth of knowledge rather than shallow coverage of the curriculum. In this paper, we report on a study that explored the analysis of junior secondary mathematics textbooks to assess their potential to assist in teaching and learning aimed at building and applying deep…

Materiality and discourse in school curriculum

DEFF Research Database (Denmark)

Valero, Paola

2013-01-01

We bring contemporary theoretical approaches to bear on the question of the relationship between the material and the discursive in curriculum studies when researching the effects of power of the school curriculum in generating the inclusion/exclusion of learners. We argue for the need to bring...... of intellectual, social, and economic poverty are organized in the curriculum. Our focus on school mathematics is essential, since this is a curricular area that is seldom approached as a field of cultural politics....

The Effectiveness of Educational Technology Applications for Enhancing Mathematics Achievement in K-12 Classrooms: A Meta-Analysis. Educator's Summary

Science.gov (United States)

Center for Research and Reform in Education, 2012

2012-01-01

This review summarizes research on the effects of technology use on mathematics achievement in K-12 classrooms. The main research questions included: (1) Do education technology applications improve mathematics achievement in K-12 classrooms as compared to traditional teaching methods without education technology?; and (2) What study and research…

1400 Liter 1.8K Test Facility

International Nuclear Information System (INIS)

Peterson, T.J.; Rabehl, R.J.; Sylvester, C.D.

1997-08-01

A double bath superfluid helium dewar has been constructed and operated at Fermilab's Magnet Test Facility. The 1.8 K portion of the dewar is sized to contain a superconducting magnet up to 0.5 meters in diameter and 4 meters long in a vertical orientation in 0.12 MPa pressurized superfluid. The dewar can also provide a subcooled Helium I environment for tests; the entire temperature range from 4.4 K to 1. 8 K at 0.12 MPa is available. This paper describes the system design, lambda plate, heat exchanger, and performance

The Language of Mathematics in Science

Science.gov (United States)

Boohan, Richard

2016-01-01

"The Language of Mathematics in Science" is an ASE/Nuffield project aimed at supporting teachers of 11-16 science in the use of mathematical ideas in the science curriculum. Two publications have been produced. This article focuses on the first of these, "The Language of Mathematics in Science: A Guide for Teachers of 11-16…

The Effects of a Mathematics Infusion Curriculum on Middle School Student Mathematics Achievement

Science.gov (United States)

Burghardt, M. David; Lauckhardt, James; Kennedy, Maria; Hecht, Deborah; McHugh, Luisa

2015-01-01

Increasing mathematical competencies of American students has been a focus for educators, researchers, and policy makers alike. One purported approach to increase student learning is through connecting mathematics and science curricula. Yet there is a lack of research examining the impact of making these connections. The Mathematics Infusion into…

Identifying Avenues for Curriculum Development in Undergraduate Mathematics.

Science.gov (United States)

Frid, Sandra; And Others

The study reported in this paper represents the first stage of a five-year project aimed at improving the quality of teaching and learning in undergraduate mathematics courses for science and engineering students. Students were surveyed about their confidence in their mathematics background, their confidence with current mathematics topics, and…

New Avenues for History in Mathematics Education: Mathematical Competencies and Anchoring

DEFF Research Database (Denmark)

Jankvist, U. T.; Kjeldsen, T. H.

2011-01-01

. The first scenario occurs when history is used as a ‘tool’ for the learning and teaching of mathematics, the second when history of mathematics as a ‘goal’ is pursued as an integral part of mathematics education. We introduce a multiple-perspective approach to history, and suggest that research on history......The paper addresses the apparent lack of impact of ‘history in mathematics education’ in mathematics education research in general, and proposes new avenues for research. We identify two general scenarios of integrating history in mathematics education that each gives rise to different problems...... in mathematics education follows one of two different avenues in dealing with these scenarios. The first is to focus on students’ development of mathematical competencies when history is used a tool for the learning of curriculum-dictated mathematical in-issues. A framework for this is described. Secondly, when...

Means to form key competencies by teaching „Chemistry and environmental protection” in grade 8

International Nuclear Information System (INIS)

Manev, Stefan; Dimitrova, Velichka; Gushterova, Pavlina

2011-01-01

Abstract: A comparison was made of expected results set in grade 8 „Chemistry and environment preservation” curriculum and requirements to form one of eight key competencies „Mathematical literacy and basic knowledge in science and technologies”. The results obtained allow to make some recommendations towards improvement of teaching through a more effective use of science content to form key competencies. Keywords: teaching, science, chemistry, key competencies, curriculum

The Gap between Expectations and Reality: Integrating Computers into Mathematics Classrooms

Science.gov (United States)

Guven, Bulent; Cakiroglu, Unal; Akkan, Yasar

2009-01-01

As a result of dramatic changes in mathematics education around the world, in Turkey both elementary and secondary school mathematics curriculums have changed in the light of new demands since 2005. In order to perform the expected change in newly developed curriculum, computer should be integrated into learning and teaching process. Teachers'…

Mathematical modeling

CERN Document Server

Eck, Christof; Knabner, Peter

2017-01-01

Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application. Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively.

Factors Predicting Mathematics Achievement of 8th Graders in TIMSS 2015

Directory of Open Access Journals (Sweden)

Mehmet Hayri SARI

2017-09-01

Full Text Available In the study, it is aimed to investigate the student, teacher and school factors predicting mathematics achievement of Turkish 8th grade students in TIMSS 2015. The group of the study consists of 6079 students and 220 teachers who attended TIMSS from Turkey. The data of the study was obtained from student and teacher questionnaires and mathematics cognitive test scores. In the data analysis, multilevel regression analysis was used in which dependent variables were plausible mathematics scores and independent variables were student, teacher and school scale scores. According to results, 34% percent of student-level variance was explained by student-level variables. It was found that self-confidence level of students was the most important predictor of mathematics achievement among student-level variables. Additionally, educational resources at home variable was also among the important predictors of mathematics achievement. Teacher and school factors explained 29% of between school variance. Among these variables, school emphasis on academic success and teaching limited by student needs were two significant variables that could predict mathematics achievement of students.

The Use of Computers in Mathematics Education: A Paradigm Shift from "Computer Assisted Instruction" towards "Student Programming"

Science.gov (United States)

Aydin, Emin

2005-01-01

The purpose of this study is to review the changes that computers have on mathematics itself and on mathematics curriculum. The study aims at investigating different applications of computers in education in general, and mathematics education in particular and their applications on mathematics curriculum and on teaching and learning of…

The K-8 Aeronautics Internet Textbook

Science.gov (United States)

2002-01-01

Efforts were focused on web site migration, from UC (University of California) Davis to the National Business Aviation Association's (NBAA) web site. K8AIT (K-8 Aeronautics Internet Textbook), which has remained an unadvertised web site, receives almost two million hits per month. Project continuation funding with the National Business Aviation Association is being pursued. A Memorandum of Understanding (MOU) between NASA Ames LTP (Learning Technologies Project) and Cislunar has been drafted and approved by NASA's legal department. Additional web content on space flight and the Wright brothers has been added in English and Spanish.

A Path to Alignment: Connecting K-12 and Higher Education via the Common Core and the Degree Qualifications Profile

Science.gov (United States)

Conley, David T.; Gaston, Paul L.

2013-01-01

The Common Core State Standards (CCSS), which aim to assure competency in English/language arts and mathematics through the K-12 curriculum, define necessary but not sufficient preparedness for success in college. The Degree Qualifications Profile (DQP), which describes what a college degree should signify, regardless of major, offers useful but…

Mobile STEMship Discovery Center: K-12 Aerospace-Based Science, Technology, Engineering, and Mathematics (STEM) Mobile Teaching Vehicle

Science.gov (United States)

2015-08-03

AND SUBTITLE Mobile STEMship Discovery Center: K-12 Aerospace-Based Science, Technology, Engineering, and Mathematics (STEM) Mobile Teaching Vehicle...Center program to be able to expose Science Technology, Engineering and Mathematics (STEM) space-inspired science centers for DC Metro beltway schools

E-learning materials in mathematics education

OpenAIRE

Fajfar, Tina

2012-01-01

When studying mathematics, most pupils and students need mathematical tools, along with the teachers' explanation. The updated curriculum for mathematics in primary and secondary education also recommends using materials connected to information and communication technology. Although e-learning materials are not directly mentioned in a curricula as a tool for learning mathematics, they should, nevertheless, be considered as a tool which can be used in a class with the help of a teacher or ind...

Effects of Reading Skills on Students’ Performance in Science and Mathematics in Public and Private Secondary Schools

Directory of Open Access Journals (Sweden)

Ombra A. Imam

2016-05-01

Full Text Available In the Philippine education system, reading, mathematics, and science formed part of the core areas of basic education curriculum. For the last decade, the quality of Philippine education was put into a big question due to poor performance of students in mathematics and science tests both local and abroad. The initial result of current efforts of the government by adopting K-12 curriculum didn’t do much to change the status quo. The purpose of this study is to determine the reading predictors of students’ performance in Mathematics and Science and identify its effects to such performance. A total of 660 freshmen students from public and private high schools in Cotabato City, Philippines were taken as sample. A validated and reliable 150-item test in reading comprehension skills, mathematics and science was used to get primary data to perform correlation and regression analysis. Findings showed that only making inference and getting main idea were predictors of mathematics performance of students in public school and private schools, respectively.  Data analysis also revealed that two reading skills such as noting details and making inference had an influence on science performance of students in public school while skills in getting main idea and drawing conclusion influenced science performance of students in private schools.  However, there was only one skill such as vocabulary in context which was predictor of overall science performance of all students. Moreover, separate effects of making inference, identifying main idea explained only 1.8 percent and 1.3 percent of students’ math performance while their combined effects provided only .1 percent or nearly zero percent. Furthermore, the study found out that separate effects of noting details contributed 3.3 percent and its combined effects with making inference explained 4.2 percent of science performance of students in public schools. In terms of effects of reading to science

Mathematics Connection - Vol 5 (2005)

African Journals Online (AJOL)

Ghanaian JSS2 students' abysmal mathematics achievement in TIMSS-2003: a consequence of the basic school mathematics curriculum · EMAIL FULL TEXT EMAIL FULL TEXT · DOWNLOAD FULL TEXT DOWNLOAD FULL TEXT. J Anamuah-Mensah, DK Mereku, 1-13. http://dx.doi.org/10.4314/mc.v5i1.21489 ...

Incorporating the iPad2 in the Mathematics Classroom: Extending the Mind into the Collective

Directory of Open Access Journals (Sweden)

Armando Paulino Preciado Babb

2012-04-01

Full Text Available Doubtlessly, mathematics is one of the most important subjects in education from K to 12 levels especially for students interested in eventually pursuing undergraduate studies in the fields of science and technology. As it has been argued in mathematics education research, not only the content, but also the form in which students learn is important for mathematics learning. Particularly, an inquiry approach permeates through the mathematics curriculum of several countries around the world. Additionally, the use of technology to learn mathematics has been increasing in the last decades, requiring teachers and professionals in education to constantly explore and learn new possibilities or affordances in the classroom. The purpose of this paper is to initiate a discussion about the possible and complex forms of interaction among students, teacher, mathematical tasks, and the electronic tablet (iPad2 in an inquiry learning environment. An experience from a grade 10 classroom is used as a context to exemplify these interactions.

Secondary Schools Curriculum Guide, Mathematics, Grades 10-12. Revised.

Science.gov (United States)

Cranston School Dept., RI.

Behavioral objectives for grades 10 through 12 are specified for plane geometry, algebra, general mathematics, computer mathematics, slide rule mathematics, basic college mathematics, trigonometry, analytic geometry, calculus and probability. Most sections present material in terms of portions of a school year. At least one major objective is…

Scientific Skills and Processes in Curriculum Resources

Science.gov (United States)

Kremer, Joe

2017-11-01

Increasingly, the science education community has recognized the need for curriculum resources that support student development of authentic scientific practices, rather than focusing exclusively on content knowledge. This paper proposes a tool for teachers and researchers to assess the degree to which certain curriculum resources and lessons achieve this goal. After describing a method for reflecting on and categorizing curriculum resources, I apply the method to highlight differences across three teaching methods: Modeling Instruction, Physics Union Mathematics, and a traditional, lecture-based approach.

Reform in Turkish Elementary Mathematics Curriculum

OpenAIRE

BABADOĞAN, Cem; OLKUN, Sinan

2006-01-01

Disappointed from such major international studies as TIMSS, PISA, PIRLS andsome internal indicators such as national university entrance examination, the Turkish Ministry ofNational Education initiated a massive reform movement in education. These reforms includedeveloping new curricula for both elementary and secondary education and developing teachercompetencies. The purpose of this paper is to present an evaluation of the elementary schoolmathematics curriculum, which is a part of the ref...

Constructivism and mathematics education in Ghana | Fletcher ...

African Journals Online (AJOL)

Mathematics is a subject found in every school Curriculum in almost every country. Here in Ghana, mathematics is a compulsory subject in both the basic education (i.e. primary and junior secondary) and senior secondary curricula. This paper argues that in spite of the desire of mathematics educators in Ghana to pursue a ...

Evaluation of the 10th Grade Computerized Mathematics Curriculum from the Perspective of the Teachers and Educational Supervisors in the Southern Region in Jordan

Science.gov (United States)

Al-Tarawneh, Sabri Hassan; Al-Qadi, Haitham Mamdouh

2016-01-01

This study aimed at evaluating the 10th grade computerized mathematics curriculum from the perspective of the teachers and supervisors in the southern region in Jordan. The study population consisted of all the teachers who teach the 10th grade in the southern region, with the total of (309) teachers and (20) supervisors. The sample consisted of…

The research of 4th grade mathematical curriculum electronic picture book construction and development in integrating indigenous culture

Science.gov (United States)

Chen, Yen Ting; Hsin Wang, Juei

2017-02-01

This research aimed at integrating Seediq culture and mathematical course design for fourth-grade elementary school, and then transforming this mathematical course into an electronic picture book. During the process of electronic book development, the researchers collected videos of six participants engaged in discussion, reflection minutes after the meeting written by the attendants, the researchers' observation and review journals, and conversations with the participants. Then, researchers utilized Content Analysis to explore, try, review and retry steps of electronic book making process. The main findings: There are four periods of electronic book making process, research occurrence period, curriculum design period, electronic book transformation period, and result evaluation period. The picture book included the White Stone Legend born from Seediq seniors, historical battle for hunting field between tribes, and concepts of approximation, angle, triangle, and quadrangle features. At last, with the research result, this article presents the corroboration of related works, and then proposes suggestions of electronic book teaching and follow-up studies.

Core-Plus Mathematics. What Works Clearinghouse Intervention Report

Science.gov (United States)

What Works Clearinghouse, 2010

2010-01-01

"Core-Plus Mathematics" is a four-year curriculum that replaces the traditional sequence with courses that each feature interwoven strands of algebra and functions, statistics and probability, geometry and trigonometry, and discrete mathematics. The first three courses in the series provide a common core of broadly useful mathematics,…

Mitigating the Mathematical Knowledge Gap between High School and First Year University Chemical Engineering Mathematics Course

Science.gov (United States)

Basitere, Moses; Ivala, Eunice

2015-01-01

This paper reports on a study carried out at a University of Technology, South Africa, aimed at identifying the existence of the mathematical knowledge gap and evaluating the intervention designed to bridge the knowledge gap amongst students studying first year mathematics at the Chemical Engineering Extended Curriculum Program (ECP). In this…

Precalculus teachers' perspectives on using graphing calculators: an example from one curriculum

Science.gov (United States)

Karadeniz, Ilyas; Thompson, Denisse R.

2018-01-01

Graphing calculators are hand-held technological tools currently used in mathematics classrooms. Teachers' perspectives on using graphing calculators are important in terms of exploring what teachers think about using such technology in advanced mathematics courses, particularly precalculus courses. A descriptive intrinsic case study was conducted to analyse the perspectives of 11 teachers using graphing calculators with potential Computer Algebra System (CAS) capability while teaching Functions, Statistics, and Trigonometry, a precalculus course for 11th-grade students developed by the University of Chicago School Mathematics Project. Data were collected from multiple sources as part of a curriculum evaluation study conducted during the 2007-2008 school year. Although all teachers were using the same curriculum that integrated CAS into the instructional materials, teachers had mixed views about the technology. Graphing calculator features were used much more than CAS features, with many teachers concerned about the use of CAS because of pressures from external assessments. In addition, several teachers found it overwhelming to learn a new technology at the same time they were learning a new curriculum. The results have implications for curriculum developers and others working with teachers to update curriculum and the use of advanced technologies simultaneously.

Difficulties encountered by the teachers in fifth grade applications of mathematics course

Directory of Open Access Journals (Sweden)

Fatma Nur Çoban

2013-12-01

Full Text Available The purpose of this study was to determine the teachers’ practices and the difficulties encountered by the teachers in 5th grade optional ‘mathematics applications’ course, which came into effect with the new 4+4+4 educational system.  The study was conducted in 2012-2013 academic year using the qualitative research method of semi-structured interview with 8 mathematics teachers who were teaching this course. The teachers were from four schools situated in socioeconomically average quarters of Eskişehir. The interview consisted of questions under three categories; aims and contents of the course, teachers’ practices and assessment of the course.Key Words:    Mathematics applications course, curriculum, teaching resources, teacher views

Assessment of Primary 5 Students' Mathematical Modelling Competencies

Science.gov (United States)

Chan, Chun Ming Eric; Ng, Kit Ee Dawn; Widjaja, Wanty; Seto, Cynthia

2012-01-01

Mathematical modelling is increasingly becoming part of an instructional approach deemed to develop students with competencies to function as 21st century learners and problem solvers. As mathematical modelling is a relatively new domain in the Singapore primary school mathematics curriculum, many teachers may not be aware of the learning outcomes…

Surviving the Implementation of a New Science Curriculum

Science.gov (United States)

Lowe, Beverly; Appleton, Ken

2015-01-01

Queensland schools are currently teaching with the first National Curriculum for Australia. This new curriculum was one of a number of political responses to address the recurring low scores in literacy, mathematics, and science that continue to hold Australia in poor international rankings. Teachers have spent 2 years getting to know the new…

Modeling and Simulation for an 8 kW Three-Phase Grid-Connected Photo-Voltaic Power System

Science.gov (United States)

Cen, Zhaohui

2017-09-01

Gird-connected Photo-Voltaic (PV) systems rated as 5-10 kW level have advantages of scalability and energy-saving, so they are very typical for small-scale household solar applications. In this paper, an 8 kW three-phase grid-connected PV system model is proposed and studied. In this high-fidelity model, some basic PV system components such as solar panels, DC-DC converters, DC-AC inverters and three-phase utility grids are mathematically modelled and organized as a complete simulation model. Also, an overall power controller with Maximum Power Point Control (MPPT) is proposed to achieve both high-efficiency for solar energy harvesting and grid-connection stability. Finally, simulation results demonstrate the effectiveness of the PV system model and the proposed controller, and power quality issues are discussed.

Modeling and Simulation for an 8 kW Three-Phase Grid-Connected Photo-Voltaic Power System

Directory of Open Access Journals (Sweden)

Cen Zhaohui

2017-09-01

Full Text Available Gird-connected Photo-Voltaic (PV systems rated as 5-10 kW level have advantages of scalability and energy-saving, so they are very typical for small-scale household solar applications. In this paper, an 8 kW three-phase grid-connected PV system model is proposed and studied. In this high-fidelity model, some basic PV system components such as solar panels, DC-DC converters, DC-AC inverters and three-phase utility grids are mathematically modelled and organized as a complete simulation model. Also, an overall power controller with Maximum Power Point Control (MPPT is proposed to achieve both high-efficiency for solar energy harvesting and grid-connection stability. Finally, simulation results demonstrate the effectiveness of the PV system model and the proposed controller, and power quality issues are discussed.

Does Curriculum 2005 promote successful learning of elementary algebra?

Directory of Open Access Journals (Sweden)

Nelis Vermeulen

2007-10-01

Full Text Available This article reviews literature, previous to the development of Curriculum 2005, describing possible causes and solutions for learners’ poor performance in algebra. It then analyses the Revised National Curriculum Statement for Mathematics in an attempt to determine whether it addresses these causes and suggested solutions. This analysis finds that the curriculum to a large extent does address them, but that some are either not addressed, or addressed only implicitly. Consequently, Curriculum 2005 may only partly promote successful learning of elementary algebra.

Bugs, Planes, and Ferris Wheels: A Problem-Centered Curriculum

Science.gov (United States)

Campbell, William E.; Kemp, Joyce C.; Zia, Joan H.

2006-01-01

This article describes a problem-centered curriculum for grades 9-12, using problem sets developed by a mathematics department and designed to take the place of textbooks. The students discover mathematical concepts in the context of the problems and activities in the materials.

Educational Development and Developmental Research in Mathematics Education

NARCIS (Netherlands)

Gravemeijer, K.P.E.

1994-01-01

In light of anticipated changes in mathematics education, an alternative for the well- known "research-development-diffusion" model is presented. It is based on an integration of curriculum research and design embedded in "educational development." In this context curriculum development is described

Benchmarking to the world's best in mathematics. Quality control in curriculum and instruction among the top performers in the TIMSS.

Science.gov (United States)

Phelps, R P

2001-08-01

This article describes the education quality control systems (for mathematics) used by those countries that performed best on the Third International Mathematics and Science Study (TIMSS). Enforced quality control measures are defined as "decision points"--where adherence to the curriculum and instruction system can be reinforced. Most decision points involve stakes for the student, teacher, or school. They involve potential consequences for failure to adhere to the system and to follow the program at a reasonable pace. Generally, countries with more decision points perform better on the TIMSS. When the number of decision points and TIMSS test scores are adjusted for country wealth, the relationship between the degree of (enforced) quality control and student achievement appears to be positive and exponential. The more (enforced) quality control measures employed in an education system, the greater is students' academic achievement.

The Development of the Mathematical Mind.

Science.gov (United States)

Scott, Judith

1995-01-01

Draws parallels between Montessori's mathematical curriculum and the evolution of numbers and counting. Suggests that children share with ancient Sumerians a basic human tendency to develop "the mathematical mind." Argues that children do not need to be surrounded by math; rather, the classroom must supply them with the means to explore…

Mathematical potential of special education students

OpenAIRE

Peltenburg, M.C.

2012-01-01

This PhD research was aimed at investigating the mathematical potential of special education (SE) students. SE students often have a severe delay in their mathematical development compared to peers in regular education. However, there are indications that SE students could attain more and that there might be unused talent in SE students. In the research project, two mathematical domains were chosen as a topic of investigation. One topic is part of the mathematics curriculum in SE and is gener...

A Note on Discrete Mathematics and Calculus.

Science.gov (United States)

O'Reilly, Thomas J.

1987-01-01

Much of the current literature on the topic of discrete mathematics and calculus during the first two years of an undergraduate mathematics curriculum is cited. A relationship between the recursive integration formulas and recursively defined polynomials is described. A Pascal program is included. (Author/RH)

Galleons, Magic Potions, and Quidditch: The Mathematics of Harry Potter

Science.gov (United States)

Barta, Jim; L'Ai, Linda

2004-01-01

Literacy curriculum connections through books give advantage to teachers to use adventure to enhance mathematical learning among children. The way the children enhanced their mathematical competence by developing exciting mathematical activities and applications by using Harry Potter book episodes is discussed.

Examination of the 8th Grade Students' TIMSS Mathematics Success in Terms of Different Variables

Science.gov (United States)

Kaleli-Yilmaz, Gül; Hanci, Alper

2016-01-01

The aim of this study is to determine how the TIMSS mathematics success of the 8th grade students differentiates according to the school type, gender, mathematics report mark, parents' education level, cognitive domains and cognitive domains by gender. Relational survey method was used in the study. Six-hundred fifty two 8th grade students…

Students' perceptions of the relevance of mathematics in engineering

Science.gov (United States)

Flegg, Jennifer; Mallet, Dann; Lupton, Mandy

2012-09-01

In this article, we report on the findings of an exploratory study into the experience of students as they learn first year engineering mathematics. Here we define engineering as the application of mathematics and sciences to the building and design of projects for the use of society [M. Kirschenman and B. Brenner, Education for Civil Engineering: A Profession of Practice, Leader. Manag. Eng. 10 (2010), p. 54]. Qualitative and quantitative data on students' views of the relevance of their mathematics study to their engineering studies and future careers in engineering was collected. The students described using a range of mathematics techniques (mathematics skills developed, mathematics concepts applied to engineering and skills developed relevant for engineering) for various usages (as a subject of study, a tool for other subjects or a tool for real world problems). We found a number of themes relating to the design of engineering mathematics curriculum emerged from the data. These included the relevance of mathematics within different engineering majors, the relevance of mathematics to future studies, the relevance of learning mathematical rigour and the effectiveness of problem-solving tasks in conveying the relevance of mathematics more effectively than other forms of assessment. We make recommendations for the design of engineering mathematics curriculum based on our findings.

Mathematics anxiety in secondary students in England.

Science.gov (United States)

Chinn, Steve

2009-02-01

Whatever the changes that are made to the mathematics curriculum in England, there will always remain a problem with mathematics anxiety. Maths anxiety is rarely facilitative. This study examined aspects of mathematics in secondary schools and how students rated them as sources of anxiety. Over 2000 students in independent and mainstream schools in England completed a 20-item questionnaire designed to investigate maths anxiety levels. The same questionnaire was given to over 440 dyslexic males in specialist schools within the same age range. The results showed that examinations and tests create high levels of anxiety in approximately 4% of students. The results suggest that certain aspects and topics in the maths curriculum, such as long division, cause similar levels of anxiety for students in all year groups in secondary schools.

Modelling as a foundation for academic forming in mathematics education

NARCIS (Netherlands)

Perrenet, J.C.; Morsche, ter H.G.

2004-01-01

The Bachelor curriculum of Applied Mathematics in Eindhoven includes a series of modelling projects where pairs of students solve mathematical problems posed in non-mathematical language. Communication skills training is integrated with this track. Recently a new course has been added. The students

The Implications of American Mathematics Graduates’ Career Development on the Career Planning of Chinese Mathematics Graduates

Directory of Open Access Journals (Sweden)

Zhang Shuntao

2015-01-01

Full Text Available This article starts with an careful analysis of the factors that cause Chinese mathematics graduate’s heavy pressure in job hunting and career development, followed by a detailed introduction of American mathematics graduates’ positive employment potential and their benign career development prospect. Finally the author puts forward that mathematics majors should plan their curriculum study in relation to their future career development, with the help of systematic, professional career development consultancy and guidance. Suggestions on how to improve mathematics majors employment competitiveness are also provided in this article.

Postmodern View of Humanistic Mathematics 9 -8 ...

Indian Academy of Sciences (India)

Since the time of Pythagoras era up to the modern time, mathematics has ... traditional philosophies of mathematics, i.e. logicism (regarding mathematics as a ..... o/Over-Philosophication-Reply to A rcilla andNicholson, Educational Theory,.

Task Modification and Knowledge Utilization by Korean Prospective Mathematics Teachers

Science.gov (United States)

Lee, Kyeong-Hwa; Lee, Eun-Jung; Park, Min-Sun

2016-01-01

It has been asserted that mathematical tasks play a critical role in the teaching and learning of mathematics. Modification of tasks included in intended curriculum materials, such as textbooks, can be an effective activity for prospective teachers to understand the role of mathematical tasks in the teaching and learning of mathematics; designing…

Mathematics Curriculum Guide for Spanish-Speaking Students, Levels A, B, C, D, Field Test. Working Draft = Guia didactica de Matematicas, Niveles A, B, C, D. Edicion Experimental.

Science.gov (United States)

Chicago Board of Education, IL. Dept. of Curriculum.

The introductory level curriculum guide for bilingual education for Spanish-speaking children in the Chicago public schools is divided into four difficulty levels and is designed to facilitate acquisition of mathematical concepts by presenting them in the children's native language. At each level, the concepts covered include the meaning of…

Construction of the K=8 fractional superconformal algebras

International Nuclear Information System (INIS)

Argyres, P.C.; Grochocinski, J.M.; Tye, S.H.H.

1993-01-01

We construct the K=8 fractional superconformal algebras. There are two such extended Virasoro algebras, one of which was constructed earlier, involving a fractional spin (equivalently, conformal dimension) 6/5 current. The new algebra involves two additional fractional spin currents with spin 13/5. Both algebras are non-local and satisfy non-abelian braiding relations. The construction of the algebras uses the ismorphism between the Z 8 parafermion theory and the tensor product of two tricritical Ising models. For the special value of the central charge c=52/55, corresponding to the eighth member of the unitary minimal series, the 13/5 currents of the new algebra decouple, while two spin 23/5 currents (level-2 current algebra descendants of the 13/5 currents) emerge. In addition, it is shown that the K=8 algebra involving the spin 13/5 currents at central charge c=12/5 is the appropriate algebra for the construction of the K=8 (four-dimensional) fractional superstring. (orig.)

National Center for Mathematics and Science - who we are

Science.gov (United States)

Massachusetts-Dartmouth Expertise Areas Classroom discourse Sociocultural theory in mathematics teacher education The learnability of new ideas, such as complexity, chaos and nonlinear systems Center Research students' mathematical understanding Program evaluation Curriculum theory and reform Center Research

Computer Programming in the UK Undergraduate Mathematics Curriculum

Science.gov (United States)

Sangwin, Christopher J.; O'Toole, Claire

2017-01-01

This paper reports a study which investigated the extent to which undergraduate mathematics students in the United Kingdom are currently taught to programme a computer as a core part of their mathematics degree programme. We undertook an online survey, with significant follow-up correspondence, to gather data on current curricula and received…

Report from the Netherlands: The Dutch Revolution in Secondary School Mathematics

Science.gov (United States)

Case, Robert W.

2005-01-01

The change in the Dutch secondary school mathematics curriculum known as Realistic Mathematics Education advocated by the National Council of Teachers of Mathematics (NCTM 2000) is discussed. There are very good chances in Netherlands to finish its mathematics revolution which would be a revolution in content, teaching style and student learning.

Differentiated Instruction in a Calculus Curriculum for College Students in Taiwan

Science.gov (United States)

Chen, Jing-Hua; Chen, Yi-Chou

2018-01-01

Objectives: To explore differentiated instruction within a calculus curriculum. For college students to learn concentration, motivation and the impact of academic achievement; explore the attitudes and ideas of students on differentiated instruction within a calculus curriculum; build up the diversity of mathematics education within varied…

Critical relationships between teachers and learners of school mathematics

OpenAIRE

Wright, P.

2017-01-01

This article draws on critical theories and perspectives on mathematics education to explain the tendency of mathematics teaching worldwide to remain focused on developing procedural understanding, despite repeated calls from the mathematics education community for a more relevant and engaging curriculum. It highlights how conventional approaches to teaching mathematics contribute towards alienating a high proportion of learners and reproducing inequities within society. The article reports o...

Global Journal of Mathematical Sciences - Vol 8, No 2 (2009)

African Journals Online (AJOL)

Global Journal of Mathematical Sciences. ... On the choice of schools located outside the walkable neighbourhood of the household · EMAIL FREE FULL TEXT EMAIL FREE FULL TEXT DOWNLOAD FULL TEXT DOWNLOAD FULL TEXT. A.A Osagiede, V.U Ekhosuehi. http://dx.doi.org/10.4314/gjmas.v8i2.53758 ...

Ethnomusicology, Ethnomathematics, and Integrating Curriculum

Science.gov (United States)

Bazinet, Ryan; Marshall, Anne Marie

2015-01-01

Integrating curriculum provides rich opportunities for students to focus on relevant applications to the real world and make meaningful connections across different disciplines. This article attempts to go beyond common discourse and platitudes by offering specific examples, showing we--an ethnomusicologist and a mathematics educator--attempted to…

Mathematical analysis fundamentals

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Bashirov, Agamirza

2014-01-01

The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric o

The affordances of using a flipped classroom approach in the teaching of mathematics: a case study of a grade 10 mathematics class

Science.gov (United States)

Muir, Tracey; Geiger, Vince

2016-03-01

Teaching secondary mathematics has a number of challenges, including the expectations that teachers cover the prescribed curriculum, help students learn difficult concepts, prepare students for future studies, and, increasingly, that they do so incorporating digital technologies. This study investigates a teacher's, and his students', perceptions of the benefits or otherwise of a flipped classroom approach in meeting these challenges, within a prescribed curriculum context. Data collection instruments included a survey designed to investigate the nature of students' engagement with the flipped approach and semi-structured student and teacher interviews. Analysis of these data indicated that the teacher and students were positive about their experiences with a flipped classroom approach and that students were motivated to engage with the teacher-created online mathematics resources. The study adds to the limited research literature related to student and teacher perceptions of the affordances of the flipped classroom approach and has implications for secondary mathematics teachers who face the challenge of the twin demands of covering the prescribed curriculum and catering for a range of students' learning needs.

Structuring an Undergraduate Mathematics Seminar Dealing with Options and Hedging

Science.gov (United States)

Prevot, K. J.

2006-01-01

Offering mathematics majors the opportunity to engage in current, real-world applications can be an important enhancement to their undergraduate course curriculum. Instead of focusing on the traditional topic areas in pure and/or applied mathematics, one may structure a seminar course for senior mathematics majors by concentrating on a specific…

Learning to Teach Mathematics Specialists in a Synchronous Online Course: A Self-Study

Science.gov (United States)

Hjalmarson, Margret A.

2017-01-01

This article uses a self-study research methodology to explore teaching an online course for mathematics specialists. The course included weekly videoconferencing sessions and focused on supporting their development as mathematics coaches working with K-8 teachers to enhance mathematics teaching and learning. The central question for the…

The mathematics of geometrical and physical optics. The k-funktion and its ramifications

Energy Technology Data Exchange (ETDEWEB)

Stavroudis, O.N. [Centro de Investigaciones en Optica, Leon, Guanajuato (Mexico)

2006-07-01

In this sequel to his book, 'The Optics of Rays, Wavefronts, and Caustics', Stavroudis not only covers his own research results, but also includes more recent developments. The book is divided into three parts, starting with basic mathematical concepts that are further applied in the book. Surface geometry is treated with classical mathematics, while the second part covers the k-function, discussing and solving the eikonal equation as well as Maxwell equations in this context. A final part on applications consists of conclusions drawn or developed in the first two parts of the book, discussing such topics as the Cartesian oval, the modern Schiefspiegler, Huygen's principle, and Maxwell's model of Gauss' perfect lens. From the contents: Part I: Preliminaries - Calculus of variations - Calculus of variations: differential geometry of space curves (helix and ellipse) - Fermat's principle and the ray equation for inhomogeneous isotropic media - Hilbert integral, the derivation of the Hamilton-Jacobi theory, and the eikonal equation - First-order partial differential equations. Part II: The k-Function - Calculation of surface differential geometry parameters - Ray tracing - Refraction of wavefronts at surfaces - Solution of the Maxwell equation in the context of the k-function. Part III: Applications - Pseudo Maxwell equations - Derivation and discussion of the Cartesian oval - The modern Schiefspiegler - Huygen's principle - Maxwell's model of Gauss' perfect lens. (orig.)

Mixed Methods Evaluation of Statewide Implementation of Mathematics Education Technology for K-12 Students

Science.gov (United States)

Brasiel, Sarah; Martin, Taylor; Jeong, Soojeong; Yuan, Min

2016-01-01

An extensive body of research has demonstrated that the use in a K-12 classroom of technology, such as the Internet, computers, and software programs, enhances the learning of mathematics (Cheung & Slavin, 2013; Cohen & Hollebrands, 2011). In particular, growing empirical evidence supports that certain types of technology, such as…

Biological Applications in the Mathematics Curriculum

Science.gov (United States)

Marland, Eric; Palmer, Katrina M.; Salinas, Rene A.

2008-01-01

In this article we provide two detailed examples of how we incorporate biological examples into two mathematics courses: Linear Algebra and Ordinary Differential Equations. We use Leslie matrix models to demonstrate the biological properties of eigenvalues and eigenvectors. For Ordinary Differential Equations, we show how using a logistic growth…

Principles to Actions: Mathematics Programs as the Core for Student Learning

Science.gov (United States)

Brahier, Daniel; Leinwand, Steve; Huniker, DeAnn

2014-01-01

The National Council of Teachers of Mathematics (NCTM) launched the "standards-based" education movement in North America in 1989 with the release of "Curriculum and Evaluation Standards for School Mathematics," an unprecedented action to promote systemic improvement in mathematics education. Now, twenty-five years later, the…

Good Questions: Great Ways to Differentiate Mathematics Instruction. Second Edition

Science.gov (United States)

Small, Marian

2012-01-01

Expanded to include connections to Common Core State Standards, as well as National Council of Teachers of Mathematics (NCTM) standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K-8 classroom. In this bestseller, math education expert Marian Small…

Elective Drama Course in Mathematics Education: An Assessment of Pre-Service Teachers

Science.gov (United States)

Sagirli, Meryem Özturan

2014-01-01

This study aimed to evaluate a newly introduced elective course "Drama in Mathematics Education" into mathematics education curriculum from the viewpoints of pre-service mathematics teachers. A case study was employed in the study. The study group consisted of 37 pre-service mathematics teachers who were enrolled in a Turkish state…

Making Mathematics Relevant for Students in Bali

Science.gov (United States)

Sema, Pryde Nubea

2008-01-01

The reactions of students towards mathematics in Bali (in the NW Province of Cameroon) are appalling. This is due to a misconception regarding its uses. The author thinks that these problems derive partly from the influence that the Western curriculum has had in Bali--mathematical contexts are based around train times in Liverpool instead of from…

Practice and Conceptions: Communicating Mathematics in the Workplace

Science.gov (United States)

Wood, Leigh N.

2012-01-01

The study examined the experience of communication in the workplace for mathematics graduates with a view to enriching university curriculum. I broaden the work of Burton and Morgan (2000), who investigated the discourse practices of academic mathematicians to examine the discourse used by new mathematics graduates in industry and their…

Mathematics in Student-­Centred Inquiry Learning: Student Engagement

Science.gov (United States)

Calder, Nigel

2013-01-01

This paper examines how mathematical understandings might be facilitated through student-centred inquiry. Data is drawn from a research project on student-centred inquiry learning that situated mathematics within authentic problem-solving contexts and involved students in a collaboratively constructed curriculum. A contemporary interpretive frame…

Using Symbolic Interactionism to Analyze a Specialized STEM High School Teacher's Experience in Curriculum Reform

Science.gov (United States)

Teo, Tang Wee; Osborne, Margery

2012-01-01

In this paper, we present a microanalysis of a specialized STEM (science, technology, engineering, and mathematics) high school teacher's experience of self-initiated science inquiry curriculum reform. We examine the meanings of these two constructs: "inquiry curriculum" and "curriculum change" through the process lens of interactions, actions,…

Problematising Mathematics Education

Science.gov (United States)

Begg, Andy

2015-01-01

We assume many things when considering our practice, but our assumptions limit what we do. In this theoretical/philosophical paper I consider some assumptions that relate to our work. My purpose is to stimulate a debate, a search for alternatives, and to help us improve mathematics education by influencing our future curriculum documents and…

Primary Teachers Notice the Impact of Language on Children's Mathematical Reasoning

Science.gov (United States)

Bragg, Leicha A.; Herbert, Sandra; Loong, Esther Yoon-Kin; Vale, Colleen; Widjaja, Wanty

2016-01-01

Mathematical reasoning is now featured in the mathematics curriculum documents of many nations, but this necessitates changes to teaching practice and hence a need for professional learning. The development of children's mathematical reasoning requires appropriate encouragement and feedback from their teacher who can only do this if they recognise…

The Vector Space as a Unifying Concept in School Mathematics.

Science.gov (United States)

Riggle, Timothy Andrew

The purpose of this study was to show how the concept of vector space can serve as a unifying thread for mathematics programs--elementary school to pre-calculus college level mathematics. Indicated are a number of opportunities to demonstrate how emphasis upon the vector space structure can enhance the organization of the mathematics curriculum.…

The development of proficiency in the fraction domain : affordances and constraints in the curriculum

NARCIS (Netherlands)

Bruin - Muurling, G.

2010-01-01

Proficiency in basic mathematical skills is a topic of heated discussions in many countries. International comparative studies on mathematical skills such as PISA and TIMMS have lead to concerns about the mathematics curriculum especially in countries with a relatively low rating in the summary

Education for a Green and Resilient Economy: An Educator Framework for Teaching Climate and Energy Literacy for K-12 Teachers Across the Curriculum

Science.gov (United States)

Niepold, F., III; Ledley, T. S.; Lockwood, J.; Youngman, E.; Manning, C. L. B.; Sullivan, S. M.

2015-12-01

The U.S. is embarking on a major transition to a green and resilient economy, a monumental change requiring all sectors and segments of the population to pull together. Transforming our nation's economic, energy, and environmental systems to in this way will require a sustained level of expertise, innovation, and cooperative effort unseen since the 1940s to meet the challenges involved. Education can - and must - help people understand the true connections, the linkages and interdependencies, between the environment, our energy sources and the economy which underpin and form the very foundation of the concept of a green and resilient economy. To produce such a literate future workforce and citizenry, the United States will need to make major new investments in our educational systems. Teachers across the nation are helping to increase science-based understanding and awareness of current and future climate change, enhancing climate and energy literacy in K-12 classrooms, on college and university campuses. There has been tremendous progress to date, but there is still more work to be done. The new academic standards in mathematics and science (the Common Core State Standards in Mathematics and the Next Generation Science Standards (NGSS)) represent a sea change from the nation's previous sets of standards. Addressing these standards in the currently over 40 percent of the nation's classrooms that have adopted or adapted the NGSS will demand that we prepare new and current teachers, who can effectively address the interdisciplinary nature of climate change and societal responses. To address this opportunity and need a collaboration between NOAA, TERC and CIRES has been established to develop an Educator Framework for Teaching Climate and Energy Literacy for K-12 teachers across the curriculum based on the NRC Framework for K-12 Science Education: Practices, Crosscutting Concepts, and Core Ideas. This collaboration is developing an effective way to frame the use of

Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics

Science.gov (United States)

Robeva, Raina; Davies, Robin; Hodge, Terrell; Enyedi, Alexander

2010-01-01

We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to…

Mathematics Education: Student Terminal Goals, Program Goals, and Behavioral Objectives.

Science.gov (United States)

Mesa Public Schools, AZ.

Behavioral objectives are listed for the primary, intermediate and junior high mathematics curriculum in the Mesa Public Schools (Arizona). Lists of specific objectives are given by level for sets, symbol recognition, number operations, mathematical structures, measurement and problem solving skills. (JP)

The academic merits of modelling in higher mathematics education: A case study

NARCIS (Netherlands)

Perrenet, J.; Adan, I.

2010-01-01

Modelling is an important subject in the Bachelor curriculum of Applied Mathematics at Eindhoven University of Technology in the Netherlands. Students not only learn how to apply their knowledge to solve mathematical problems posed in non-mathematical language, but also they learn to look actively

The academic merits of modelling in higher mathematics education : a case study

NARCIS (Netherlands)

Perrenet, J.C.; Adan, I.J.B.F.

2010-01-01

Modelling is an important subject in the Bachelor curriculum of Applied Mathematics at Eindhoven University of Technology in the Netherlands. Students not only learn how to apply their knowledge to solve mathematical problems posed in non-mathematical language, but also they learn to look actively

Mathematical Communication in State Standards before the Common Core

Science.gov (United States)

Kosko, Karl Wesley; Gao, Yang

2017-01-01

Mathematical communication has been an important feature of standards documents since National Council of Teachers of Mathematics' (NCTM) (1989) "Curriculum and Evaluation Standards." Such an emphasis has influenced content standards of states from then to present. This study examined how effective the prevalence of various forms of…

Mathematics Crises in our Schools: Causes and Remedies | Osafo ...

African Journals Online (AJOL)

The presentation will discuss findings from an NGO project - 'Improving Teaching and Learning of Mathematics in Basic Schools'. The project has taken the presenter to several schools across the country, observing and supporting teachers in their implementation of the curriculum. (Mathematics Connection: 2001 2: 4-6) ...

Students' Thinking and the Depth of the Mathematics Curriculum

Science.gov (United States)

Kent, Laura B.

2014-01-01

This article explores the impact of students' thinking centered professional development on mathematics teaching and learning. Purposeful pedagogy and problem posing are examined as mechanisms by which teachers can potentially deepen students' understanding of mathematics. A classroom example comparing student generated strategies versus…

Cascade-sea : Computer Assisted Curriculum Analysis, Design & Evaluation for Science Education in Africa.

NARCIS (Netherlands)

McKenney, Susan; van den Akker, Jan; Maribe, Robert; Gustafson, Kent; Nieveen, Nienke; Plomp, Tjeerd

1999-01-01

The CASCADE-SEA program aims to support curriculum development within the context of secondary level science and mathematics education in sub-Saharan Africa. This project focuses on the iterative design of a computer-based curriculum development support system for the creation of classroom

Box Plots in the Australian Curriculum

Science.gov (United States)

Watson, Jane M.

2012-01-01

This article compares the definition of "box plot" as used in the "Australian Curriculum: Mathematics" with other definitions used in the education community; describes the difficulties students experience when dealing with box plots; and discusses the elaboration that is necessary to enable teachers to develop the knowledge…

The Mathematics Curriculum: Issues and Perspectives. Pennsylvania Council of Teachers of Mathematics 1987 Yearbook.

Science.gov (United States)

Nicely, Robert F., Jr., Ed.; Sigmund, Thomas F., Ed.

One of the strengths of the Pennsylvania Council of Teachers of Mathematics (PCTM) is that it gives mathematicians and mathematics educators the opportunity to exchange and contribute to each other's professional growth. The topic for each yearbook is chosen to coincide with the annual PCTM meeting. This 1987 yearbook contains 14 articles which…

World Food Day: Curriculum, Grades 8-12.

Science.gov (United States)

Shiman, David

Over one billion of the world's people are chronically hungry. For them, life is a hunger cycle characterized by vulnerability to disease, stunted physical and mental development, reduced energy and motivation, and low work productivity. This curriculum guide is designed to channel student awareness and concern into effective action. The…

Succeeding at teaching secondary mathematics your first year

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Roddick, Cheryl D

2010-01-01

This practical resource helps beginning secondary mathematics teachers design a curriculum that is meaningful, differentiate instruction, engage students, meet standards, assess student understanding, and more.

Enhancing Undergraduate Mathematics Curriculum via Coding Theory and Cryptography

Science.gov (United States)

Aydin, Nuh

2009-01-01

The theory of error-correcting codes and cryptography are two relatively recent applications of mathematics to information and communication systems. The mathematical tools used in these fields generally come from algebra, elementary number theory, and combinatorics, including concepts from computational complexity. It is possible to introduce the…

Response to Key Issues Raised in the Post-14 Mathematics Inquiry

Science.gov (United States)

Burghes, David; Hindle, Mike

2004-01-01

This article is a detailed response to the issues raised by the Post-14 Mathematics Inquiry in the UK. It aims to debate some of the central issues in mathematics teaching in the UK, including recruitment and retention of mathematics teachers, the curriculum content, national assessment, teaching resources (including ICT) and national strategies…

Developing Understanding of Mathematical Modeling in Secondary Teacher Preparation

Science.gov (United States)

Anhalt, Cynthia Oropesa; Cortez, Ricardo

2016-01-01

This study examines the evolution of 11 prospective teachers' understanding of mathematical modeling through the implementation of a modeling module within a curriculum course in a secondary teacher preparation program. While the prospective teachers had not previously taken a course on mathematical modeling, they will be expected to include…

Teaching Primary School Mathematics and Statistics: Evidence-Based Practice

Science.gov (United States)

Averill, Robin; Harvey, Roger

2010-01-01

Here is the only reference book you will ever need for teaching primary school mathematics and statistics. It is full of exciting and engaging snapshots of excellent classroom practice relevant to "The New Zealand Curriculum" and national mathematics standards. There are many fascinating examples of investigative learning experiences,…

A Qualitative Study on Primary School Mathematics Lesson Evaluation

Science.gov (United States)

Zhao, Dongchen; Ma, Yunpeng

2009-01-01

Through the qualitative interviews of five implementers of primary school mathematics curriculum, this study addresses the ways in which mathematics lessons are evaluated. Results show that each evaluator recognizes different aspects of a "good lesson," however, among all criteria, the design of the lesson plan, realization of the lesson…

Examination of the 8th grade students' TIMSS mathematics success in terms of different variables

Science.gov (United States)

Kaleli-Yılmaz, Gül; Hanci, Alper

2016-07-01

The aim of this study is to determine how the TIMSS mathematics success of the 8th grade students differentiates according to the school type, gender, mathematics report mark, parents' education level, cognitive domains and cognitive domains by gender. Relational survey method was used in the study. Six-hundred fifty two 8th grade students studying in the same city in Turkey participated in this study. In this study, a 45 question test that was made up by choosing TIMSS 2011 mathematics questionnaire was used as a data collection tool. Quantitative data analysis methods were used in the data analysis, frequency, percentage, average, standard deviation, independent sample test, one-way analysis of variance and post-hoc tests were applied to data by using SPSS packaged software. At the end of the study, it was determined that the school type, mathematics school mark, parents' education level and cognitive domains influenced the students' TIMSS mathematics success but their gender was a neutral element. Moreover, it was seen that schools which are really successful in national exams are more successful in TIMSS exam; students whose mathematics school marks are 5 and whose parents graduated from university are more successful in TIMSS exams than others. This study was produced from Alper HANCİ's master thesis that is made consulting Asst. Prof. Gül KALELİ YILMAZ.

Insights into teaching mathematics

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Orton, Anthony

2004-01-01

Providing essential guidance and background information about teaching mathematics, this book is intended particularly for teachers who do not regard themselves as specialists in mathematics. It deals with issues of learning and teaching, including the delivery of content and the place of problems and investigations. Difficulties which pupils encounter in connection with language and symbols form important sections of the overall discussion of how to enhance learning. The curriculum is considered in brief under the headings of number, algebra, shape and space, and data handling, and special at

The Effect of Teacher Beliefs on Student Competence in Mathematical Modeling--An Intervention Study

Science.gov (United States)

Mischo, Christoph; Maaß, Katja

2013-01-01

This paper presents an intervention study whose aim was to promote teacher beliefs about mathematics and learning mathematics and student competences in mathematical modeling. In the intervention, teachers received written curriculum materials about mathematical modeling. The concept underlying the materials was based on constructivist ideas and…

Anxious for Answers: A Meta-Analysis of the E!ects of Anxiety on African American K-12 Students' Mathematics Achievement

Science.gov (United States)

Young, Jamaal Rashad; Young, Jemimah Lea

2015-01-01

Mathematics anxiety is recognized as a significant performance impediment that affects students across multiple ethnic and economic backgrounds. However, research has yet to fully examine the possible differential effect of mathematics anxiety on underrepresented K-12 students. Specifically, given the long-standing achievement gap between African…

Surviving the Implementation of a New Science Curriculum

Science.gov (United States)

Lowe, Beverly; Appleton, Ken

2015-12-01

Queensland schools are currently teaching with the first National Curriculum for Australia. This new curriculum was one of a number of political responses to address the recurring low scores in literacy, mathematics, and science that continue to hold Australia in poor international rankings. Teachers have spent 2 years getting to know the new science curriculum through meetings, training, and exploring the new Australian curriculum documents. This article examines the support and preparation for implementation provided in two regional schools, with a closer look at six specific teachers and their science teaching practices as they attempted to implement the new science curriculum. The use of a survey, field observations, and interviews revealed the schools' preparation practices and the teachers' practices, including the support provided to implement the new science curriculum. A description and analysis of school support and preparation as well as teachers' views of their experiences implementing the new science curriculum reveal both achievements and shortcomings. Problematic issues for the two schools and teachers include time to read and comprehend the curriculum documents and content expectations as well as time to train and change the current processes effectively. The case teachers' experiences reveal implications for the successful and effective implementation of new curriculum and curriculum reform.

Third international handbook of mathematics education

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Bishop, Alan; Keitel, Christine; Kilpatrick, Jeremy; Leung, Frederick

2013-01-01

This entirely new Third International Handbook of Mathematics Education comprises 31 chapters which have been written by a total of 84 different authors representing 26 nations, each a recognized expert in the field.   Comprised of four sections: Social, Political and Cultural Dimensions in Mathematics Education; Mathematics Education as a Field of Study; Technology in the Mathematics Curriculum; and International Perspectives on Mathematics Education, this Third Handbook offers essential reading for all persons interested in the future of mathematics education. The authors present challenging international perspectives on the history of mathematics education, current issues, and future directions.   What makes this Handbook unique is its structure. Each section covers past, present and future aspects of mathematics education.   The first chapter in each section identifies and analyzes historical antecedents The “middle” chapters draw attention to present-day key issues and themes The final chapter in ...

Mathematics-Related Anxiety and Attitudes: Examining the Impact among Latina Preservice Teachers

Science.gov (United States)

Gautreau, Cynthia; Brye, Michelle VanderVeldt; Lunceford, Christina

2016-01-01

The purpose of this study was to investigate mathematics-related anxiety and attitudes among Latina preservice teachers. Three sections from the Inventory of Mathematics Attitudes, Experience, and Self Awareness were administered to preservice teachers enrolled in a curriculum and instruction mathematics course during the 1st semester of a…

Attitudes of Pre-Service Mathematics Teachers towards Modelling: A South African Inquiry

Science.gov (United States)

Jacobs, Gerrie J.; Durandt, Rina

2017-01-01

This study explores the attitudes of mathematics pre-service teachers, based on their initial exposure to a model-eliciting challenge. The new Curriculum and Assessment Policy Statement determines that mathematics students should be able to identify, investigate and solve problems via modelling. The unpreparedness of mathematics teachers in…

Science Modelling in Pre-Calculus: How to Make Mathematics Problems Contextually Meaningful

Science.gov (United States)

Sokolowski, Andrzej; Yalvac, Bugrahan; Loving, Cathleen

2011-01-01

"Use of mathematical representations to model and interpret physical phenomena and solve problems is one of the major teaching objectives in high school math curriculum" [National Council of Teachers of Mathematics (NCTM), "Principles and Standards for School Mathematics", NCTM, Reston, VA, 2000]. Commonly used pre-calculus textbooks provide a…

Mathematical subtleties and scientific knowledge: Francis Bacon and mathematics, at the crossing of two traditions.

Science.gov (United States)

Mori, Giuliano

2017-03-01

This article engages the much-debated role of mathematics in Bacon's philosophy and inductive method at large. The many references to mathematics in Bacon's works are considered in the context of the humanist reform of the curriculum studiorum and, in particular, through a comparison with the kinds of natural and intellectual subtlety as they are defined by many sixteenth-century authors, including Cardano, Scaliger and Montaigne. Additionally, this article gives a nuanced background to the 'subtlety' commonly thought to have been eschewed by Bacon and by Bacon's self-proclaimed followers in the Royal Society of London. The aim of this article is ultimately to demonstrate that Bacon did not reject the use of mathematics in natural philosophy altogether. Instead, he hoped that following the Great Instauration a kind of non-abstract mathematics could be founded: a kind of mathematics which was to serve natural philosophy by enabling men to grasp the intrinsic subtlety of nature. Rather than mathematizing nature, it was mathematics that needed to be 'naturalized'.

Item-Level and Construct Evaluation of Early Numeracy Curriculum-Based Measures

Science.gov (United States)

Lee, Young-Sun; Lembke, Erica; Moore, Douglas; Ginsburg, Herbert P.; Pappas, Sandra

2012-01-01

The present study examined the technical adequacy of curriculum-based measures (CBMs) of early numeracy. Six 1-min early mathematics tasks were administered to 137 kindergarten and first-grade students, along with an omnibus test of early mathematics. The CBM measures included Count Out Loud, Quantity Discrimination, Number Identification, Missing…

Counselling Implications on the Role of the New Mathematics ...

African Journals Online (AJOL)

The many reforms that the mathematics curriculum in Ghana has undergone since independence in 1957 have not yielded the needed results. The teacher is the centre of any teaching and learning process, therefore much attention must be given to the classroom teacher. There is the need for mathematics revolution in ...

Distributed Leadership: Key to Improving Primary Students' Mathematical Knowledge

Science.gov (United States)

Larson, Matthew R.; Smith, Wendy M.

2013-01-01

The purpose of this article is to present the findings of a quantitative study focused on primary mathematics teachers who participated in an intensive professional development program and then had leadership responsibility for the implementation of a new primary mathematics curriculum in their district. The study examines the effect of the…

"Lettuce" Learn Math: Teaching Mathematics with Seeds and Centimeters

Science.gov (United States)

Rickard, Laura N.; Wilson, Colette

2006-01-01

"Lettuce Learn Math" is an interdisciplinary program that has effectively linked a small-scale agricultural production system to a sixth-grade mathematics and science curriculum. The mathematical concepts and skills, including measurement and geometry, taught in this project met and often exceeded the standards set by New York state for…

Mathematical omnibus thirty lectures on classic mathematics

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Fuchs, Dmitry; Fuchs, Dmitry

2007-01-01

The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.

How Preservice Teachers Use Children’s Literature to Teach Mathematical Concepts: Focus on Mathematical Knowledge for Teaching

Directory of Open Access Journals (Sweden)

Jennifer EDELMAN

2017-06-01

Full Text Available This descriptive study examines the elements of mathematical knowledge for teaching (MKT that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children’s literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates enrolled in a methods of teaching mathematics course. The data were analyzed using three criteria: that of knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. The findings suggest a need for further development of teacher candidates’ ability to identify and locate mathematical concepts in children’s literature, as well as the need for supporting teacher candidates’ critical analysis of curricular materials and mathematical representations in children’s literature.

How preservice teachers use children’s literature to teach mathematical concepts: Focus on mathematical knowledge for teaching

Directory of Open Access Journals (Sweden)

Jennifer Edelman

2017-06-01

Full Text Available This descriptive study examines the elements of mathematical knowledge for teaching (MKT that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children’s literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates enrolled in a methods of teaching mathematics course. The data were analyzed using three criteria: that of knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. The findings suggest a need for further development of teacher candidates’ ability to identify and locate mathematical concepts in children’s literature, as well as the need for supporting teacher candidates’ critical analysis of curricular materials and mathematical representations in children’s literature.

Science, Engineering, and Mathematics (SEM) at the Timbuktu Academy

Science.gov (United States)

2005-07-31

Science (AAAS) and the first Standards of the National Council of Teachers o f Mathematics ( NCTM ) both appeared in 1989 . They were followed by Scope...National Council of Teachers of Mathematics ( NCTM , 1989, 1991 , and 1995), Science for All Americans (Project 2061) and the Benchmarks of the America n...Documents, Mail Stop SSOP, Washington, DC, 20402-9328 . National Council of Teachers of Mathematics ( NCTM ) . Curriculum and Evaluation Standard s for School

The roles of games in teaching and learning of mathematics in junior ...

African Journals Online (AJOL)

The roles of games in teaching and learning of mathematics in junior secondary schools. ... The research seeks to enhance the status of games in teaching mathematics in junior secondary schools curriculum ... AJOL African Journals Online.

Investigating the impact of a LEGO(TM)-based, engineering-oriented curriculum compared to an inquiry-based curriculum on fifth graders' content learning of simple machines

Science.gov (United States)

Marulcu, Ismail

This mixed method study examined the impact of a LEGO-based, engineering-oriented curriculum compared to an inquiry-based curriculum on fifth graders' content learning of simple machines. This study takes a social constructivist theoretical stance that science learning involves learning scientific concepts and their relations to each other. From this perspective, students are active participants, and they construct their conceptual understanding through the guidance of their teacher. With the goal of better understanding the use of engineering education materials in classrooms the National Academy of Engineering and National Research Council in the book "Engineering in K-12 Education" conducted an in-depth review of the potential benefits of including engineering in K--12 schools as (a) improved learning and achievement in science and mathematics, (b) increased awareness of engineering and the work of engineers, (c) understanding of and the ability to engage in engineering design, (d) interest in pursuing engineering as a career, and (e) increased technological literacy (Katehi, Pearson, & Feder, 2009). However, they also noted a lack of reliable data and rigorous research to support these assertions. Data sources included identical written tests and interviews, classroom observations and videos, teacher interviews, and classroom artifacts. To investigate the impact of the design-based simple machines curriculum compared to the scientific inquiry-based simple machines curriculum on student learning outcomes, I compared the control and the experimental groups' scores on the tests and interviews by using ANCOVA. To analyze and characterize the classroom observation videotapes, I used Jordan and Henderson's (1995) method and divide them into episodes. My analyses revealed that the design-based Design a People Mover: Simple Machines unit was, if not better, as successful as the inquiry-based FOSS Levers and Pulleys unit in terms of students' content learning. I also

Mathematics education and students with learning disabilities: introduction to the special series.

Science.gov (United States)

Rivera, D P

1997-01-01

influences on the field of mathematics education. Reform efforts have shaped the field significantly since the 1950s, contributing to the curriculum offered in mathematics textbooks and the pedagogical practices taught in higher education courses. Mathematics educators continue to search for a better understanding of how children learn mathematics; this process is shaped by the prevailing theoretical orientations and research methodologies. This special series in mathematics special education provides readers with information about the characteristics of students with mathematics learning disabilities, assessment procedures, mathematics programming, teacher preparation, and future directions for the field. The series originated as a result of discussions with Dr. Lee Wiederholt and Dr. Judith K. Voress, who saw a need for the compilation of recent research and best practices in mathematics special education. I thank them for their support of and thoughtful insights about the development of this series. I also appreciate the support of Dr. George Hynd and his editorial assistant, Kathryn Black, in finalizing the details for publication. Finally, I am most appreciative of the authors' contributions to this series; their work continues to significantly influence the development of the field of mathematics special education and programming for students with mathematics learning disabilities.

Comparing Tablets and PCs in teaching Mathematics: An attempt to improve Mathematics Competence in Early Childhood Education

OpenAIRE

Papadakis, Stamatis; Kalogiannakis, Michail; Zaranis, Nicholas

2016-01-01

The present study investigates and compares the influence of using computers and tablets, in the development of mathematical competence in early childhood education. For the implementation of the survey, we conducted a 14 weeks intervention, which included one experimental and one control group. Children in both groups were taught Mathematics according to Greek curriculum for early childhood education in conjunction with the use either of the same educational software, which depending on the ...

Teachers and Textbooks: On Statistical Definitions in Senior Secondary Mathematics

Science.gov (United States)

Dunn, Peter K.; Marshman, Margaret; McDougall, Robert; Wiegand, Aaron

2015-01-01

The new "Australian Senior Secondary Curriculum: Mathematics" contains more statistics than the existing Australian Curricula. This case study examines how a group of Queensland mathematics teachers define the word "statistics" and five statistical terms from the new curricula. These definitions are compared to those used in…

Mathematics education and comparative historical studies

Directory of Open Access Journals (Sweden)

Wagner RODRIGUES VALENTE

2013-11-01

Full Text Available This paper has as its aims: to characterize the area of research «history of mathematics education» and to defend the idea that mathematics education has constituted a privileged research theme within the field of comparative historical studies. To achieve these aims, the text includes references to a review of the literature concerning comparative studies, the analysis of two fundamental moments focused on attempts to internationalize the mathematics curriculum, both of which occurred during the 20th century, and, to end, a case study emanating from an international cooperation between researchers in Brazil and Portugal.

Increasing ocean sciences in K and 1st grade classrooms through ocean sciences curriculum aligned to A Framework for K-12 Science Education, and implementation support.

Science.gov (United States)

Pedemonte, S.; Weiss, E. L.

2016-02-01

Ocean and climate sciences are rarely introduced at the early elementary levels. Reasons for this vary, but include little direct attention at the national and state levels; lack of quality instructional materials; and, lack of teacher content knowledge. Recent recommendations by the National Research Council, "revise the Earth and Space sciences core ideas and grade band endpoints to include more attention to the ocean whenever possible" (NRC, 2012, p. 336) adopted in the Next Generation Science Standards (NGSS), may increase the call for ocean and climate sciences to be addressed. In response to these recommendations' and the recognition that an understanding of some of the Disciplinary Core Ideas (DCIs) would be incomplete without an understanding of processes or phenomena unique to the ocean and ocean organisms; the ocean Literacy community have created documents that show the alignment of NGSS with the Ocean Literacy Principles and Fundamental Concepts (Ocean Literacy, 2013) as well as the Ocean Literacy Scope and Sequence for Grades K-12 (Ocean Literacy, 2010), providing a solid argument for how and to what degree ocean sciences should be part of the curriculum. However, the percentage of science education curricula focused on the ocean remains very low. This session will describe a new project, that draws on the expertise of curriculum developers, ocean literacy advocates, and researchers to meet the challenges of aligning ocean sciences curriculum to NGSS, and supporting its implementation. The desired outcomes of the proposed project are to provide a rigorous standards aligned curricula that addresses all of the Life Sciences, and some Earth and Space Sciences and Engineering Design Core Ideas for Grades K and 1; and provides teachers with the support they need to understand the content and begin implementation. The process and lessons learned will be shared.

Digital curriculum resources in mathematics education: foundations for change

NARCIS (Netherlands)

Pepin, B.; Choppin, J.; Ruthven, K.; Sinclair, N.

2017-01-01

In this conceptual review paper we draw on recent literature with respect to digital curriculum resources (DCR); we briefly outline and explain selected theoretical frames; and we discuss issues related to the design, and the use (by teachers and students) of digital curricula and e-textbooks in

An Evaluation of the Instructional System in Mathematics: 1977-1978.

Science.gov (United States)

Frechtling, Joy A.; And Others

The results of an evaluation of various aspects of the Instructional System in Mathematics (ISM) are presented. ISM is an objectives-based, computer-supported, management system which builds upon a previously developed mathematics curriculum. Questionnaires to school-based personnel and students, in-school observations, and interviews, were used…

Into the Curriculum. Guidance: Sense of Self, Self-Esteem; Health: Clean Hands, Clean Books; Mathematics/Science: What's the Heaviest Thing in the Library Media Center?; Reading/Language Arts: Merry-Go-Round Mooo-ving Picture Show; Social Studies: I Came to School By !; Social Studies: Revolutionary War Facts.

Science.gov (United States)

School Library Media Activities Monthly, 2001

2001-01-01

Provides six fully developed library media activities that are designed for use with specific curriculum units in guidance, health, mathematics, science, reading, language arts, and social studies. Library media skills, curriculum objectives, grade levels, resources, instructional roles, procedures, evaluation, and follow-up are described for each…

Examining Development of Curriculum Knowledge of Prospective Mathematics Teachers

Science.gov (United States)

Sahin, Ömer; Soylu, Yasin

2017-01-01

Explanatory-confirmatory research design, one of the mixed methods research designs, was used in this study to investigate Curriculum Knowledge developments of prospective teachers regarding algebra. Cross-sectional study method, as a type of descriptive research and one of the non-experimental research designs, was used to collect quantitative…

Mathematics as a laboratory tool dynamics, delays and noise

CERN Document Server

Milton, John

2014-01-01

The importance of mathematics in the undergraduate biology curriculum is ever increasing, as is the importance of biology within the undergraduate applied mathematics curriculum. This ambitious forward thinking book  strives to make concrete  connections between the two fields at the undergraduate level, bringing in a wide variety of mathematical  methods  such as  signal processing, systems identification, and stochastic differential equations to an undergraduate audience interested in biological dynamics. The presentation stresses a practical hands-on approach: important concepts are introduced using linear first- or second-order differential equations that can be solved using “pencil and paper”; next, these are extended to “real world” applications through the use of computer algorithms written in Scientific Python or similar software. This book developed from a course taught by Professor John Milton at the University of Chicago and developed and continued over many years with Professor Toru O...

Problem solving as a challenge for mathematics education in The Netherlands

NARCIS (Netherlands)

Doorman, M.; Drijvers, P.; Dekker, T.; Heuvel-Panhuizen, T. van; Lange, J. de; Wijers, M.

2007-01-01

This paper deals with the challenge to establish problem solving as a living domain in mathematics education in The Netherlands. While serious attempts are made to implement a problem-oriented curriculum based on principles of realistic mathematics education with room for modelling and with

Conversations about Curriculum Change: Mathematical Thinking and Team-Based Learning in a Discrete Mathematics Course

Science.gov (United States)

Paterson, Judy; Sneddon, Jamie

2011-01-01

This article reports on the learning conversations between a mathematician and a mathematics educator as they worked together to change the delivery model of a third year discrete mathematics course from a traditional lecture mode to team-based learning (TBL). This change prompted the mathematician to create team tasks which increasingly focused…

Curriculum optimization of College of Optical Science and Engineering

Science.gov (United States)

Wang, Xiaoping; Zheng, Zhenrong; Wang, Kaiwei; Zheng, Xiaodong; Ye, Song; Zhu, Yuhui

2017-08-01

The optimized curriculum of College of Optical Science and Engineering is accomplished at Zhejiang University, based on new trends from both research and industry. The curriculum includes general courses, foundation courses such as mathematics and physics, major core courses, laboratory courses and several module courses. Module courses include optical system designing, optical telecommunication, imaging and vision, electronics and computer science, optoelectronic sensing and metrology, optical mechanics and materials, basics and extension. These curricula reflect the direction of latest researches and relates closely with optoelectronics. Therefore, students may combine flexibly compulsory courses with elective courses, and establish the personalized curriculum of "optoelectronics + X", according to their individual strengths and preferences.

Goals for the Correlation of Elementary Science and Mathematics; The Report of the Cambridge Conference on the Correlation of Science and Mathematics in Schools.

Science.gov (United States)

Cambridge Conference on School Mathematics, Newton, MA.

This is The Report of the 1967 Cambridge Conference on the Correlation of Science and Mathematics in the Schools. It is addressed to professionals in education, and is designed to stimulate dialogue among them concerning the mathematics-science curriculum. The report is organized in five chapters, each dealing respectively with (1) educational…

Exploring Mathematics Teachers' Pedagogical Content Knowledge in the Context of Knowledge of Students

Science.gov (United States)

Aksu, Zeki; Kul, Ümit

2016-01-01

Functions are one of the basic topics taught in mathematics curriculum at Secondary school level requiring knowledge from the students' past, and uniting mathematical topics. Mathematics teachers have both their own learning experience of functions, as well as their own teaching experience, leading to the question of what level of student…

Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics

Science.gov (United States)

Davies, Robin; Hodge, Terrell; Enyedi, Alexander

2010-01-01

We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network. PMID:20810955

Mathematical biology modules based on modern molecular biology and modern discrete mathematics.

Science.gov (United States)

Robeva, Raina; Davies, Robin; Hodge, Terrell; Enyedi, Alexander

2010-01-01

We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network.

Kansas Nursing Home Medication Aide Curriculum. Revised.

Science.gov (United States)

Bartel, Myrna J.; Fornelli, Linda K.

This curriculum guide is designed to aid Kansas instructors in conducting a course for teaching nursing home medication aides. Covered first are various introductory topics such as the role and responsibilities of medication aides, pharmacodynamics, forms in which medication is now available, common medical abbreviations, mathematics and weights…

The discursive production of classroom mathematics

Science.gov (United States)

Smith, Kim; Hodson, Elaine; Brown, Tony

2013-09-01

School mathematics is a function of its discursive environment where the language being used formats mathematical activity. The paper explores this theme through an extended example in which the conduct of mathematical teaching and learning is restricted by regulative educational policies. It considers how mathematics is discursively produced by student teachers within an employment-based model of teacher education in England where there is a low university input. It is argued that teacher reflections on mathematical learning and teaching within the course are patterned discursively in line with formal curriculum framings, assessment requirements and the local demands of their placement school. Both teachers and students are subject to regulative discourses that shape their actions and as a consequence this regulation influences the forms of mathematical activity that can take place. It is shown how university sessions can provide a limited critical platform from which to interrogate these restrictions and renegotiate them.

The Analysis of Proportional Reasoning Problem in the Indonesian Mathematics Textbook for Junior High School

OpenAIRE

Rahmah Johar; Sri Yusniarti; Saminan Saminan

2017-01-01

The lack of Indonesian students achievement in the international assessment is due to several factors. Students are not familiar with the problems requiring reasoning, in particular the proportional reasoning. This research aims to identify the distribution and the Level of Cognitive Demands (LCD) of the proportional reasoning problems found in the Year 7 and Year 8 mathematics textbooks based on the 2013 curriculum (revised edition 2014). The data collection was conducted by identifying the ...

Building Knowledge Structures by Testing Helps Children With Mathematical Learning Difficulty.

Science.gov (United States)

Zhang, Yiyun; Zhou, Xinlin

2016-01-01

Mathematical learning difficulty (MLD) is prevalent in the development of mathematical abilities. Previous interventions for children with MLD have focused on number sense or basic mathematical skills. This study investigated whether mathematical performance of fifth grade children with MLD could be improved by developing knowledge structures by testing using a web-based curriculum learning system. A total of 142 children with MLD were recruited; half of the children were in the experimental group (using the system), and the other half were in the control group (not using the system). The children were encouraged to use the web-based learning system at home for at least a 15-min session, at least once a week, for one and a half months. The mean accumulated time of testing on the system for children in the experimental group was 56.2 min. Children in the experimental group had significantly higher scores on their final mathematical examination compared to the control group. The results suggest that web-based curriculum learning through testing that promotes the building of knowledge structures for a mathematical course was helpful for children with MLD. © Hammill Institute on Disabilities 2014.

One Mathematics for All: Can It Be Realized in a Multicultural, Multilingual Country?

Science.gov (United States)

Subramanian, Jayasree

2015-01-01

In this paper, situated in the context of elementary and secondary school mathematics curriculum in India, I argue that centrally determined uniform curriculum would have very little to offer a large majority of students in a country that is diverse in many ways.

Structural and Conceptual Interweaving of Mathematics Methods Coursework and Field Practica

Science.gov (United States)

Bahr, Damon L.; Monroe, Eula Ewing; Eggett, Dennis

2014-01-01

This paper describes a study of observed relationships between the design of a preservice elementary mathematics methods course with accompanying field practicum and changes in the extent to which participating prospective teachers identified themselves with the mathematics reform movement after becoming practicing teachers. The curriculum of the…

MONTO: A Machine-Readable Ontology for Teaching Word Problems in Mathematics

Science.gov (United States)

Lalingkar, Aparna; Ramnathan, Chandrashekar; Ramani, Srinivasan

2015-01-01

The Indian National Curriculum Framework has as one of its objectives the development of mathematical thinking and problem solving ability. However, recent studies conducted in Indian metros have expressed concern about students' mathematics learning. Except in some private coaching academies, regular classroom teaching does not include problem…

The role of the atypical kinases ABC1K7 and ABC1K8 in abscisic acid responses

Directory of Open Access Journals (Sweden)

Anna eManara

2016-03-01

Full Text Available The ABC1K family of atypical kinases (activity of bc1 complex kinase is represented in bacteria, archaea and eukaryotes. In plants they regulate diverse physiological processes in the chloroplasts and mitochondria, but their precise functions are poorly defined. ABC1K7 and ABC1K8 are probably involved in oxidative stress responses, isoprenyl lipid synthesis and distribution of iron within chloroplasts. Because reactive oxygen species take part in abscisic acid (ABA-mediated processes, we investigated the functions of ABC1K7 and ABC1K8 during germination, stomatal movement and leaf senescence. Both genes were upregulated by ABA treatment and some ABA-responsive physiological processes were affected in abc1k7 and abc1k8 mutants. Germination was more severely affected by ABA, osmotic stress and salt stress in the single and double mutants; the stomatal aperture was smaller in the mutants under standard growth conditions and was not further reduced by exogenous ABA application; ABA-induced senescence symptoms were more severe in the leaves of the single and double mutants compared to wild type leaves. Taken together, our results suggest that ABC1K7 and ABC1K8 might be involved in the cross-talk between ABA and ROS signaling.

Social class and mathematics school knowledge of two private schools in Banten Province

Science.gov (United States)

Siahaan, M. F.

2018-05-01

The purpose of this study was to identify school mathematics topics and mathematics learning experiences of two elementary schools in contrasting social class settings under an umbrella of one institution. A case study research methodology was used to examine data collected from those two Elementary schools. The data revealed that there were similarities in curriculum framework, curriculum materials but there were also significant differences in what was taught and what was experienced in those two schools. The data suggested that word problem and a pedagogy of critical thinking were implemented in one of the schools. The differences were assessed in terms of theoretical and social implications. It was concluded that social stratification of mathematical knowledge occurred

Space Mathematics: A Resource for Secondary School Teachers

Science.gov (United States)

Kastner, Bernice

1985-01-01

A collection of mathematical problems related to NASA space science projects is presented. In developing the examples and problems, attention was given to preserving the authenticity and significance of the original setting while keeping the level of mathematics within the secondary school curriculum. Computation and measurement, algebra, geometry, probability and statistics, exponential and logarithmic functions, trigonometry, matrix algebra, conic sections, and calculus are among the areas addressed.

Defining culturally responsive teaching: The case of mathematics

Directory of Open Access Journals (Sweden)

Jenni L. Harding-DeKam

2014-12-01

Full Text Available Elementary classroom teachers in eight school districts across Colorado, United States, share the knowledge of their students’ home and community life, define culturally responsive mathematics based on the children they instruct, and give examples of how students learn math through culture in their classrooms. Findings from two interviews, classroom observations, and student artifacts reveal that teachers have an intimate cultural knowledge of the students in their classrooms, define culturally responsive mathematical practices consistent with research, use culturally responsive mathematics teaching for authentic learning, and express a need for additional professional development and curriculum support for culturally responsive mathematics instruction. Culturally responsive mathematics is important in elementary classrooms because it allows students to make personal connections to mathematics content.

Applying Realistic Mathematics Education (RME) in teaching geometry in Indonesian primary schools

NARCIS (Netherlands)

Fauzan, Ahmad

2002-01-01

Similar to other countries (see for example Niss, 1996; NCTM, 2000), the mathematics curriculum for primary schools in Indonesia pays much attention to several important aspects such as developing pupils' reasoning, activity, creativity and attitude, and providing pupils with mathematics skills so

National Seminar on the History and Cultural Aspects of ...

Indian Academy of Sciences (India)

2011-11-15

Nov 15, 2011 ... Mathematics, part of the core of any school level academic curriculum, is much loved by some, and feared by most children. Why does this happen? Wbat can be done about improving the learning of mathematics from K to 12? This has been a focus of many curriculum designers and mathematics.

The curriculum ideology of the South African secondary school Biology

African Journals Online (AJOL)

Department of Science, Mathematics and Technology Education, University of Pretoria, ... taught, the instructional process, the roles of teachers and students, as well ..... The perceived curriculum is what teachers, students, parents and various ...

Positioning Picture Books within the Mathematics Curriculum

Science.gov (United States)

Jenkins, Kate

2010-01-01

Most teachers feel confident espousing the benefits of using picture books in English lessons, talking about the importance of using the illustrations to enhance the text, engaging students and fostering a love and appreciation of literature. How many teachers passionately advocate the use of these same picture books in mathematics lessons? This…

Decision-making in probability and statistics Chilean curriculum

DEFF Research Database (Denmark)

Elicer, Raimundo

2018-01-01

Probability and statistics have become prominent subjects in school mathematics curricula. As an exemplary case, I investigate the role of decision making in the justification for probability and statistics in the current Chilean upper secondary mathematics curriculum. For addressing this concern......, I draw upon Fairclough’s model for Critical Discourse Analysis to analyse selected texts as examples of discourse practices. The texts are interconnected with politically driven ideas of stochastics “for all”, the notion of statistical literacy coined by statisticians’ communities, schooling...

Governing Equality: Mathematics for All?

Science.gov (United States)

Diaz, Jennifer D.

2013-01-01

With the notion of governmentality, this article considers how the equal sign (=) in the U.S. math curriculum organizes knowledge of equality and inscribes cultural rules for thinking, acting, and seeing in the world. Situating the discussion within contemporary math reforms aimed at teaching mathematics for all, I draw attention to how the…

teaching mathematics creatively in the junior secondary classes

African Journals Online (AJOL)

Global Journal

schools. In this study, few examples of creative lessons in mathematics based ... Felix O. Uwaezuoke, Department of Curriculum Studies and Educational ... ample opportunities to explore the hidden .... Objectives: Finding a value for Pi, hence.

Socio-functional dynamics of the mathematical contents

Directory of Open Access Journals (Sweden)

Isabel Alonso-Berenguer

2018-01-01

Full Text Available The article presents a model of the socio-functional dynamics of the mathematical contents that offers a novel theoretical-methodological basement for the development of the process of teaching-learning of the mathematical one. The investigation, of theoretical character, used the methods of analysis-synthesis, inductive-deductive and historical-logical to elaborate the one mentioned model that leaves of considering that the future professors have appropriated previously of the mathematical contents, foreseen in the curriculum, and they are, therefore, under conditions of understanding the potentialities of the same ones to facilitate the formation of socio-functional values.   

Air liquide 1.8 K refrigeration units for CERN LHC project

International Nuclear Information System (INIS)

Hilbert, Benoit; Gistau-Baguer, Guy M.; Caillaud, Aurelie

2002-01-01

The Large Hadron Collider (LHC) will be CERN's next research instrument for high energy physics. This 27 km long circular accelerator will make intensive use of superconducting magnets, operated below 2.0 K. It will thus require high capacity refrigeration below 2.0 K. Coupled to a refrigerator providing 18 kW equivalent at 4.5 K, these systems will be able to absorb a cryogenic power of 2.4 kW at 1.8 K in nominal conditions. Air Liquide has designed one Cold Compressor System (CCS) pre-series for CERN-preceding 3 more of them (among 8 in total located around the machine). These systems, making use of cryogenic centrifugal compressors in a series arrangement coupled to room temperature screw compressors, are presented. Key components characteristics will be given

Air liquide 1.8 K refrigeration units for CERN LHC project

Science.gov (United States)

Hilbert, Benoît; Gistau-Baguer, Guy M.; Caillaud, Aurélie

2002-05-01

The Large Hadron Collider (LHC) will be CERN's next research instrument for high energy physics. This 27 km long circular accelerator will make intensive use of superconducting magnets, operated below 2.0 K. It will thus require high capacity refrigeration below 2.0 K [1, 2]. Coupled to a refrigerator providing 18 kW equivalent at 4.5 K [3], these systems will be able to absorb a cryogenic power of 2.4 kW at 1.8 K in nominal conditions. Air Liquide has designed one Cold Compressor System (CCS) pre-series for CERN-preceding 3 more of them (among 8 in total located around the machine). These systems, making use of cryogenic centrifugal compressors in a series arrangement coupled to room temperature screw compressors, are presented. Key components characteristics will be given.

Air-Liquide 1.8 K refrigeration units for CERN LHC project

CERN Document Server

Hilbert, B; Caillaud, A

2002-01-01

The Large Hadron Collider (LHC) will be CERN's next research instrument for high energy physics. This 27 km long circular accelerator will make intensive use of superconducting magnets, operated below 2.0 K. It will thus require high capacity refrigeration below 2.0 K. Coupled to a refrigerator providing 18 kW equivalent at 4.5 K, these systems will be able to absorb a cryogenic power of 2.4 kW at 1.8 K in nominal conditions. Air Liquide has designed one Cold Compressor System (CCS) pre-series for CERN- preceding 3 more of them (among 8 in total located around the machine). These systems, making use of cryogenic centrifugal compressors in a series arrangement coupled to room temperature screw compressors, are presented. Key components characteristics will be given. (5 refs).

Mathematics education and the information society

NARCIS (Netherlands)

Gravemeijer, K.P.E.; Damlamian, A.; Rodigues, J.F.; Sträßer, R.

2013-01-01

Starting point for this chapter is that societal changes ask for adaptations of a foundational mathematics curriculum for all. This chapter especially looks at the effects of information technology and globalization on the job market and employability with an eye on its consequences for the goals of

Developing Culturally Responsive Mathematics Teachers: Secondary Teachers' Evolving Conceptions of Knowing Students

Science.gov (United States)

Parker, Frieda; Bartell, Tonya Gau; Novak, Jodie D.

2017-01-01

Research advances in teaching, learning, curriculum, and assessment have not changed the continued underperformance of marginalized students in mathematics education. Culturally responsive teaching is a means of addressing the needs of these students. It is sometimes challenging, however, to convince secondary mathematics teachers about the…

Proposed Model for a Streamlined, Cohesive, and Optimized K-12 STEM Curriculum with a Focus on Engineering

Science.gov (United States)

Locke, Edward

2009-01-01

This article presents a proposed model for a clear description of K-12 age-possible engineering knowledge content, in terms of the selection of analytic principles and predictive skills for various grades, based on the mastery of mathematics and science pre-requisites, as mandated by national or state performance standards; and a streamlined,…

Teachers' Views of the Challenges of Teaching Grade 9 Applied Mathematics in Toronto Schools

Science.gov (United States)

Stoilescu, Dorian; McDougall, Douglas; Egodawatte, Gunawardena

2016-01-01

Mathematics teachers, mathematics department heads, curriculum leaders, and administrators from 11 schools in four school boards from Toronto, Ontario, Canada, participated in a project to improve the teaching and learning in grade 9 mathematics classrooms. In each of these schools, an implementation team was created, so that at least three…

A Meta-Analysis of the Effectiveness of Intelligent Tutoring Systems on K-12 Students' Mathematical Learning

Science.gov (United States)

Steenbergen-Hu, Saiying; Cooper, Harris

2013-01-01

In this study, we meta-analyzed empirical research of the effectiveness of intelligent tutoring systems (ITS) on K-12 students' mathematical learning. A total of 26 reports containing 34 independent samples met study inclusion criteria. The reports appeared between 1997 and 2010. The majority of included studies compared the effectiveness of ITS…

Artificial Intelligence, Computational Thinking, and Mathematics Education

Science.gov (United States)

Gadanidis, George

2017-01-01

Purpose: The purpose of this paper is to examine the intersection of artificial intelligence (AI), computational thinking (CT), and mathematics education (ME) for young students (K-8). Specifically, it focuses on three key elements that are common to AI, CT and ME: agency, modeling of phenomena and abstracting concepts beyond specific instances.…

Task Modification and Knowledge Utilization by Korean Prospective Mathematics Teachers.

Directory of Open Access Journals (Sweden)

Kyeong-Hwa Lee

2016-11-01

Full Text Available It has been asserted that mathematical tasks play a critical role in the teaching and learning of mathematics. Modification of tasks included in intended curriculum materials, such as textbooks, can be an effective activity for prospective teachers to understand the role of mathematical tasks in the teaching and learning of mathematics; designing of new tasks requires more knowledge and experience. This study aims to identify the patterns that Korean prospective mathematics teachers seem to follow when they modify the mathematical tasks in textbooks. Knowledge utilized by prospective teachers while they modify textbook tasks is identified and characterized in order to understand the possible factors that have an impact on Korean prospective mathematics teachers' modification of tasks.

UNDERSTANDING IDEA OF CURRICULUM 2013 AND ITS CONSISTENCY ON DEVELOPING CURRICULUM DOCUMENT AT LEVEL OF EDUCATION UNIT (KTSP AT PRIMARY SCHOOL LEVEL

Directory of Open Access Journals (Sweden)

- Prihantini

2018-01-01

Full Text Available Abstract:. This study is based on various issues of Curriculum 2013, both in terms of teacher readiness to accept the Curriculum 2013, an understanding of the idea of Curriculum 2013, as well as in the implementation of teaching and learning. In the curriculum development theory, curriculum ideas are an important component that the curriculum development team needs to understand, so that the development of curriculum documents composed reflects continuity with curriculum ideas. The purpose of this study is to describe and explore the understanding of principals and teachers about the idea of Curriculum 2013 and its consistency on developing Education Unit Level Curriculum (KTSP at elementary school in Sukalarang sub-district, Sukabumi regency. The research method applied is qualitative research with descriptive exploratory approach. The conclusions of the study are: (1 the understanding of principals and teachers about the idea of the  Curriculum 2013 at the know stage, the understanding that curriculum ideas have consistency in the development of the Education Unit Level Curriculum (KTSP document is not yet owned; (2 the development of KTSP document shows no consistency between the idea of Curriculum 2013 with the documents of Book I KTSP, Book II KTSP, and Book III KTSP; (3 the problems faced by school principals and teachers in relation to the Curriculum 2013 is assessment of learning, both with regard to the techniques and types of assessment and techniques of administering the results of the assessment.Recommendations are proposed to policy makers that training strategies need to be changed from "theory oriented" to "practice oriented" and need to be varied in implementation at the Kecamatan or Cluster levels and enhanced effectiveness of curriculum counseling 2013. For principals and teachers expected to disseminate the 2013 Curriculum should be supported by presenting expert resources during the workshop, Principal Working Group (K3S and

Scott Foresman-Addison Wesley Elementary Mathematics. What Works Clearinghouse Intervention Report

Science.gov (United States)

What Works Clearinghouse, 2010

2010-01-01

"Scott Foresman-Addison Wesley Elementary Mathematics" is a core curriculum for students at all ability levels in prekindergarten through grade 6. The program supports students' understanding of key math concepts and skills and covers a range of mathematical content across grades. The What Works Clearinghouse (WWC) reviewed 12 studies on…

Teaching (Un)Connected Mathematics: Two Teachers' Enactment of the Pizza Problem

Science.gov (United States)

Hill, Heather C.; Charalambous, Charalambos Y.

2012-01-01

This paper documents the ways mathematical knowledge for teaching (MKT) and curriculum materials appear to contribute to the enactment of a 7th grade "Connected Mathematics Project" lesson on comparing ratios. Two teachers with widely differing MKT scores are compared teaching this lesson. The comparison of the teachers' lesson enactments suggests…

Applying Mathematical Concepts with Hands-On, Food-Based Science Curriculum

Science.gov (United States)

Roseno, Ashley T.; Carraway-Stage, Virginia G.; Hoerdeman, Callan; Díaz, Sebastián R.; Geist, Eugene; Duffrin, Melani W.

2015-01-01

This article addresses the current state of the mathematics education system in the United States and provides a possible solution to the contributing issues. As a result of lower performance in primary mathematics, American students are not acquiring the necessary quantitative literacy skills to become successful adults. This study analyzed the…

Governing the Modern, Neoliberal Child through ICT Research in Mathematics Education

DEFF Research Database (Denmark)

Valero, Paola; Knijnik, Gelsa

2015-01-01

Research on the pedagogical uses of ICT for the learning of mathematics formulates cultural thesis about the desired subject of education and society, and thereby contribute to fabricate the rational, Modern, self-regulated, entrepreneurial neoliberal child. Using the Foucauldian notion...... of governmentality, the section Technology in the mathematics curriculum in the Third International Mathematics Education Research Handbook is discursively analyzed. We problematize how mathematics education research on ICT devices pedagogical technologies that steer the conduct of children to become the desired...

Overview of Air Liquide refrigeration systems between 1.8 K and 200 K

Science.gov (United States)

Gondrand, C.; Durand, F.; Delcayre, F.; Crispel, S.; Baguer, G. M. Gistau

2014-01-01

Cryogenic refrigeration systems are necessary for numerous applications. Gas purification and distillation require temperatures between 15 K and 200 K depending on the application, space simulation chambers down to 15 K, superconductivity between 1.8 K and up to 75 K (magnets, cavities or HTS devices like cables, FCL, SMES, etc), Cold Neutron Sources between 15 and 20 K, etc. Air Liquide Advanced Technologies is designing and manufacturing refrigerators since 60 years to satisfy those needs. The step by step developments achieved have led to machines with higher efficiency and reliability. In 1965, reciprocating compressors and Joule Thomson expansion valves were used. In 1969, centripetal expanders began to be used. In 1980, oil lubricated screw compressors took the place of reciprocating compressors and a standard range of Claude cycle refrigerators was developed: the HELIAL series. 1980 was also the time for cryogenic centrifugal compressor development. In 2011, driven by the need for lower operational cost (high efficiency and low maintenance), cycle oil free centrifugal compressors on magnetic bearings were introduced instead of screw compressors. The power extracted by centripetal expanders was recovered. Based on this technology, a range of Turbo-Brayton refrigerators has been designed for temperatures between 40 K and 150 K. On-going development will enable widening the range of Turbo-Brayton refrigerators to cryogenic temperatures down to 15 K.. Cryogenic centrifugal circulators have been developed in order to answer to an increasing demand of 4 K refrigerators able to distribute cold power.

Overview of Air Liquide refrigeration systems between 1.8 K and 200 K

International Nuclear Information System (INIS)

Gondrand, C.; Durand, F.; Delcayre, F.; Crispel, S.; Baguer, G. M. Gistau

2014-01-01

Cryogenic refrigeration systems are necessary for numerous applications. Gas purification and distillation require temperatures between 15 K and 200 K depending on the application, space simulation chambers down to 15 K, superconductivity between 1.8 K and up to 75 K (magnets, cavities or HTS devices like cables, FCL, SMES, etc), Cold Neutron Sources between 15 and 20 K, etc. Air Liquide Advanced Technologies is designing and manufacturing refrigerators since 60 years to satisfy those needs. The step by step developments achieved have led to machines with higher efficiency and reliability. In 1965, reciprocating compressors and Joule Thomson expansion valves were used. In 1969, centripetal expanders began to be used. In 1980, oil lubricated screw compressors took the place of reciprocating compressors and a standard range of Claude cycle refrigerators was developed: the HELIAL series. 1980 was also the time for cryogenic centrifugal compressor development. In 2011, driven by the need for lower operational cost (high efficiency and low maintenance), cycle oil free centrifugal compressors on magnetic bearings were introduced instead of screw compressors. The power extracted by centripetal expanders was recovered. Based on this technology, a range of Turbo-Brayton refrigerators has been designed for temperatures between 40 K and 150 K. On-going development will enable widening the range of Turbo-Brayton refrigerators to cryogenic temperatures down to 15 K.. Cryogenic centrifugal circulators have been developed in order to answer to an increasing demand of 4 K refrigerators able to distribute cold power

Overview of Air Liquide refrigeration systems between 1.8 K and 200 K

Energy Technology Data Exchange (ETDEWEB)

Gondrand, C.; Durand, F.; Delcayre, F.; Crispel, S. [AL-AT, 2 rue de Clémencières, 38360 Sassenage (France); Baguer, G. M. Gistau [CRYOGUY, 44, chemin de la Buisse, 38330 Biviers (France)

2014-01-29

Cryogenic refrigeration systems are necessary for numerous applications. Gas purification and distillation require temperatures between 15 K and 200 K depending on the application, space simulation chambers down to 15 K, superconductivity between 1.8 K and up to 75 K (magnets, cavities or HTS devices like cables, FCL, SMES, etc), Cold Neutron Sources between 15 and 20 K, etc. Air Liquide Advanced Technologies is designing and manufacturing refrigerators since 60 years to satisfy those needs. The step by step developments achieved have led to machines with higher efficiency and reliability. In 1965, reciprocating compressors and Joule Thomson expansion valves were used. In 1969, centripetal expanders began to be used. In 1980, oil lubricated screw compressors took the place of reciprocating compressors and a standard range of Claude cycle refrigerators was developed: the HELIAL series. 1980 was also the time for cryogenic centrifugal compressor development. In 2011, driven by the need for lower operational cost (high efficiency and low maintenance), cycle oil free centrifugal compressors on magnetic bearings were introduced instead of screw compressors. The power extracted by centripetal expanders was recovered. Based on this technology, a range of Turbo-Brayton refrigerators has been designed for temperatures between 40 K and 150 K. On-going development will enable widening the range of Turbo-Brayton refrigerators to cryogenic temperatures down to 15 K.. Cryogenic centrifugal circulators have been developed in order to answer to an increasing demand of 4 K refrigerators able to distribute cold power.

Context-based mathematics tasks in Indonesia : Toward better practice and achievement

OpenAIRE

Wijaya, A.

2015-01-01

The Indonesian national curriculum mandates that mathematics education must be relevant to the needs of life and should offer students opportunities to develop the ability to apply their knowledge in society. Furthermore, there are educational movements in Indonesia that promote the application of mathematics and place a premium on using context-based tasks; see the projects Pendidikan MatematikaRealistik Indonesia (Indonesian Realistic Mathematics Education) and Pembelajaran Kontekstual (Con...

The Use of Minimum Objectives in Curriculum Research and Development, 1975-1976. Technical Report #45.

Science.gov (United States)

Crowell, Doris

This report describes a curriculum, based on stated performance objectives, which was developed and implemented by the Kamehameha Early Education Program (KEEP). The structure of the mathematics and reading curriculum is described briefly and the use of performance objectives in evaluating student progress is discussed. Advantages of the…

Transferring mathematics from and into school

DEFF Research Database (Denmark)

Pais, Alexandre

2012-01-01

The recent international emphasis on the importance of working with students ”real-life” mathematical problems (of which PISA is the most boisterous example) has provoked changes in the mathematics curriculums all around the world; especially in a Nordic context where great emphasis is given...... a result opposite to their aims. In this proposal I take advantage of recent research done within mathematics education about the possibility of transferring knowledge from and into school. While the majority of this literature commends the possibility of transfer, thus assuming both the desirability...... of transfer and the importance of school mathematics for the professional and everyday lives of individuals, I am interested in developing an ideology critique on the belief sustaining the research investigating this issue. This critique will be illustrated through the exploration of a typical transfer...

Scott Foresman-Addison Wesley Elementary Mathematics. What Works Clearinghouse Intervention Report. Updated

Science.gov (United States)

What Works Clearinghouse, 2013

2013-01-01

"Scott Foresman-Addison Wesley Elementary Mathematics" is a core mathematics curriculum for students in prekindergarten through grade 6. The program aims to improve students' understanding of key math concepts through problem-solving instruction, hands-on activities, and math problems that involve reading and writing. The curriculum…

An Evaluation of Grades 9 and 10 Mathematics Textbooks Vis-À-Vis ...

African Journals Online (AJOL)

An Evaluation of Grades 9 and 10 Mathematics Textbooks Vis-À-Vis Fostering Problem Solving Skills. ... Document analysis was carried out on the two textbooks using Mathematics Material Analysis Instrument (MMAI) developed by Karen (1997). Interview was held with two experts from Institute of Curriculum Development ...

Profiling Student Use of Calculators in the Learning of High School Mathematics

Science.gov (United States)

Crowe, Cheryll E.; Ma, Xin

2010-01-01

Using data from the 2005 National Assessment of Educational Progress, students' use of calculators in the learning of high school mathematics was profiled based on their family background, curriculum background, and advanced mathematics coursework. A statistical method new to educational research--classification and regression trees--was applied…

Accelerating Mathematics Achievement Using Heterogeneous Grouping

Science.gov (United States)

Burris, Carol Corbett; Heubert, Jay P.; Levin, Henry M.

2006-01-01

This longitudinal study examined the effects of providing an accelerated mathematics curriculum in heterogeneously grouped middle school classes in a diverse suburban school district. A quasi-experimental cohort design was used to evaluate subsequent completion of advanced high school math courses as well as academic achievement. Results showed…

Mathematical knowledge for teaching in the Netherlands

NARCIS (Netherlands)

Ronald Keijzer; Marjolein Kool

2012-01-01

The implementation of the new mathematical knowledge base in Dutch teacher education institutes for primary education raises a need for curriculum development. Teacher educators have to raise student teachers’ subject matter knowledge to a higher level. In working on this aim teacher educators

8th Latin American School of Mathematics

CERN Document Server

Figueiredo, Djairo; Iório, Rafael; Lopes, Orlando

1988-01-01

The Latin American School of Mathematics (ELAM) is one of the most important mathematical events in Latin America. It has been held every other year since 1968 in a different country of the region, and its theme varies according to the areas of interest of local research groups. The subject of the 1986 school was Partial Differential Equations with emphasis on Microlocal Analysis, Scattering Theory and the applications of Nonlinear Analysis to Elliptic Equations and Hamiltonian Systems.

An Investigation of Prospective Secondary Mathematics Teachers' Conceptual Knowledge of and Attitudes Towards Statistics

Science.gov (United States)

Hannigan, Ailish; Gill, Olivia; Leavy, Aisling M.

2013-01-01

The development of statistical literacy is fast becoming the focus of a large part of mathematics instruction at primary, secondary and tertiary levels. This broadening of the mathematics curriculum to encompass a focus on statistics makes considerable demands on teachers. Most mathematics teachers acknowledge the practical importance of…

Do the Standards Go Far Enough? Power, Policy, and Practice in Mathematics Education.

Science.gov (United States)

Apple, Michael W.

1992-01-01

Discusses the ideological and social grounding and effects of the NCTM's "Curriculum and Evaluation Standards for School Mathematics" and "Professional Standards for Teaching Mathematics." Includes issues regarding the financial crisis in education, inequality in schools, the possibilities and limitations of a mathematics…

Almost there: Sector 7-8 being cooled to 4.5K!

CERN Multimedia

2007-01-01

The cool down of the 3km long LHC sector 7-8 between point 7 (Ferney-Voltaire) and point 8 (Prévessin) has entered a new phase. The cryostats with the superconducting magnets, which had been kept around 20 K (-253°C) for the past week, are gradually being cooled down to 4.5 K (-268°C) and filled with liquid helium. This new phase in the cooling process was successfully started on Monday 5 March and is progressing after a tuning session that lasted most of the day. To get down to 1.9K (-271°C), a new component of the cryogenics plant, the 1.8K units, will be turned on. In the meantime the teams who will carry out the magnet powering are busy validating the test procedures and running the interlock tests to ensure safe operation of the equipment. They are ready to start the powering as soon as the cryo team reaches stable conditions at 1.9 K. Follow the cool down on the Hardware Commissioning Coordination website.

Mathematical Rigor in Introductory Physics

Science.gov (United States)

Vandyke, Michael; Bassichis, William

2011-10-01

Calculus-based introductory physics courses intended for future engineers and physicists are often designed and taught in the same fashion as those intended for students of other disciplines. A more mathematically rigorous curriculum should be more appropriate and, ultimately, more beneficial for the student in his or her future coursework. This work investigates the effects of mathematical rigor on student understanding of introductory mechanics. Using a series of diagnostic tools in conjunction with individual student course performance, a statistical analysis will be performed to examine student learning of introductory mechanics and its relation to student understanding of the underlying calculus.

Teachers Implementing Mathematical Problem Posing in the Classroom: Challenges and Strategies

Science.gov (United States)

Leung, Shuk-kwan S.

2013-01-01

This paper reports a study about how a teacher educator shared knowledge with teachers when they worked together to implement mathematical problem posing (MPP) in the classroom. It includes feasible methods for getting practitioners to use research-based tasks aligned to the curriculum in order to encourage children to pose mathematical problems.…

Substitution effect on metal-insulator transition of K2V8O16

International Nuclear Information System (INIS)

Isobe, Masahiko; Koishi, Shigenori; Yamazaki, Satoshi; Yamaura, Jun-ichi; Gotou, Hirotada; Yagi, Takehiko; Ueda, Yutaka

2009-01-01

The effect of the substitution of various ions on the metal-insulator (MI) transition at 170 K in K 2 V 8 O 16 has been investigated. Both Rb and Ti form complete solid solution systems: K 2-x Rb x V 8 O 16 and K 2 V 8-y Ti y O 16 , respectively. The substitution of Rb for K or of Ti for V splits the transition into two transitions: the high-temperature transition is a first-order MI transition from a tetragonal structure to a tetragonal structure, and the low-temperature transition is a second-order transition to a monoclinic structure. In K 2-x Rb x V 8 O 16 , the former terminates to an MI transition at around 220 K in Rb 2 V 8 O 16 , while the latter disappears at x > 0.6. In K 2 V 8-y Ti y O 16 , both transitions disappear at y > 0.5. The substitution of Cr for V also results in a similar splitting of the transition and the rapid disappearance of both transitions. The substitution of Na or Ba for K suppresses the MI transition without any splitting of the transition, although the solubility of both ions is limited. These substitution effects reveal that the MI transition of K 2 V 8 O 16 consists of two parts: a first-order MI transition and a parasitic second-order structural transition; the substitution of some ions causes a clear splitting of these transitions, probably due to the difference between the chemical pressure effects on the two transitions. The first-order MI transition is very sensitive to charge randomness, suggesting the charge ordering nature of the MI transition, while the second-order structural transition is very sensitive to both charge and structural randomnesses. (author)

Operational tests of the BNL 24.8 kW, 3.8 K helium refrigerator

International Nuclear Information System (INIS)

Brown, D.P.; Farah, Y.; Gibbs, R.J.

1985-01-01

The BNL 24.8 kW refrigeration system is completely installed and major portions of the acceptance tests have been completed. So far, the equipment tested has performed at or above design levels. The room temperature helium compressor station has been completely tested and accepted. The two-stage oil injected screw compressor system exhibited an isothermal efficiency of 57% while delivering a helium flow in excess of 4400 g/s. Data on the performance of the make-up gas cryogenic purifier is given. The refrigerator turbomachinery, 13 expanders and three cold compressors, has been tested at room temperature for mechanical integrity and control stability. The first cooldown to operating temperature will be attempted in late August, 1985. 2 refs., 5 figs

A Possible 1.8 K Refrigeration Cycle for the Large Hadron Collider

CERN Document Server

Millet, F; Tavian, L; Wagner, U

1998-01-01

The Large Hadron Collider (LHC) under construction at the European Laboratory for Particle Physics, CERN, will make use of superconducting magnets operating below 2.0 K. This requires, for each of the eight future cryogenic installations, an isothermal cooling capacity of up to 2.4 kW obtained by vaporisation of helium II at 1.6 kPa and 1.8 K. The process design for this cooling duty has to satisfy several demands. It has to be adapted to four already existing as well as to four new refrigerators. It must cover a dynamic range of one to three, and it must to allow continuous pump-down from 4.5 K to 1.8 K. A possible solution, as presented in this paper, includes a combination of cold centrifugal and warm volumetric compressors. It is characterised by a low thermal load on the refrigerator, and a large range of adaptability to different operation modes. The expected power factor for 1.8 K cooling is given, and the proposed control strategy is explained.

Do We Need a National Standards-Based K-12 Deaf Studies Curriculum? An Analytic History of Trends and Discourse in Development of Deaf Studies Curriculum

Science.gov (United States)

Zernovoj, Alexander

2007-01-01

This study provides a complete review of discussion and development leading up to the current trends in Deaf Studies curriculum development, and also analyzes existing known curriculum (or curriculum-like) materials to help inform development of an ideal standards-based Deaf Studies curriculum. The common shared arguments identified in this…

Technologies of 1.8 K / 2.4 kW helium refrigerators and cold compressors for LHC

International Nuclear Information System (INIS)

Saji, Nobuyoshi; Yoshinaga, Seiichirou; Asakura, Hiroshi; Shimba, Toru; Honda, Tadaaki; Mori, Mikio

2005-01-01

For the LHC (Large Hadron Collider) project of the CERN (Conseil Europeen pour la Recherche Nucleaire), the Swiss-Japanese consortium IHI/Linde Kryotechnik AG delivered a 1.8 K helium refrigeration system. Linde has produced many helium refrigeration systems and IHI has designed and manufactured cold compressors that utilize many advanced technologies and innovative ideas for turbo machinery. The compressor has the characteristics of the highest efficiency in the world. This paper describes the 1.8 K helium refrigeration system and performance test results at CERN. (author)

The Impact of Hands-On-Approach on Student Academic Performance in Basic Science and Mathematics

Science.gov (United States)

Ekwueme, Cecilia O.; Ekon, Esther E.; Ezenwa-Nebife, Dorothy C.

2015-01-01

Children can learn mathematics and sciences effectively even before being exposed to formal school curriculum if basic Mathematics and Sciences concepts are communicated to them early using activity oriented (Hands-on) method of teaching. Mathematics and Science are practical and activity oriented and can best be learnt through inquiry (Okebukola…

Determination of the enthalpy of fusion of K{sub 3}TaF{sub 8} and K{sub 3}TaOF{sub 6}

Energy Technology Data Exchange (ETDEWEB)

Kosa, L. [Institute of Inorganic Chemistry, Slovak Academy of Sciences, SK-845 36 Bratislava (Slovakia)]. E-mail: uachkosa@savba.sk; Mackova, I. [Institute of Inorganic Chemistry, Slovak Academy of Sciences, SK-845 36 Bratislava (Slovakia)

2006-08-15

The areas of the fusion and crystallization peaks of K{sub 3}TaF{sub 8} and K{sub 3}TaOF{sub 6} have been measured using the DSC mode of the high-temperature calorimeter (SETARAM 1800 K). On the basis of these quantities and the temperature dependence of the used calorimetric method sensitivity, the values of the enthalpy of fusion of K{sub 3}TaF{sub 8} at temperature of fusion 1039 K: {delta}{sub fus} H {sub m}(K{sub 3}TaF{sub 8}; 1039 K) = (52 {+-} 2) kJ mol{sup -1} and of K{sub 3}TaOF{sub 6} at temperature of fusion 1055 K: {delta}{sub fus} H {sub m}(K{sub 3}TaOF{sub 6}; 1055 K) = (62 {+-} 3) kJ mol{sup -1} have been determined.

African mathematics from bones to computers

CERN Document Server

Bangura, Abdul Karim

2011-01-01

This comprehensive text on African Mathematics addresses some of the problematic issues in the field, such as attitudes, curriculum development, educational change, academic achievement, standardized and other tests, performance factors, student characteristics, cross-cultural differences and studies, literacy, native speakers, social class and differences, equal education, teaching methods, and more.

The Maths Arcade: A Tool for Supporting and Stretching Mathematics Undergraduates

OpenAIRE

Bradshaw, Noel-Ann

2017-01-01

The Maths Arcade is an activity which aims simultaneously to support those university mathematics learners who are having difficulties, stretch more confident learners, and encourage the development of a staff-student mathematical community. The first Maths Arcade was set up at the University of Greenwich in September 2010, funded initially by a University grant for innovative teaching and later by the Mathematical Sciences Curriculum Innovation Fund of the UK National Higher Education STEM P...

Mathematics Education for Engineering Technology Students – A Bridge Too Far?

Directory of Open Access Journals (Sweden)

Noraishiyah Abdullah

2013-03-01

Full Text Available Trying to decide what is best suited for someone or something is an ever enduring task let alone trying to prepare students with the right engineering mind. So ‘how do you build an engineer?’ if that is the right word. What is the right ingredient? Mathematics has been said as the most important foundation in engineers’ life. Curriculum has been developed and reviewed over the years to meet this target. This work explores how much or lack of it has the curriculum prepares the future technologist to face the world of engineering technology as far as mathematics is concerned. Analysis of mathematics lectures, interviews of engineering technologist students and engineering technology subject lecturer is undertaken. Understand what each contributes help in understanding the picture that the current education is painting. Based on the theory of learning, APOS theory helps in explaining how students bridge their knowledge of mathematics when it comes to solving engineering technology problems. The question is, is it a bridge too far? 

Investigating Chinese Preschool Teachers' Beliefs in Mathematics Teaching from a Cross-Cultural Perspective

Science.gov (United States)

Li, Xia; Liu, Song; DeBey, Mary; McFadden, Karen; Pan, Yue-Juan

2018-01-01

In China, preschool curriculum has undergone reform and profound changes. Much remains unknown, however, regarding preschool teachers' teaching beliefs after 30 years of curriculum reform and adaptation. This study aimed to address the issue and investigate teachers' beliefs concerning teaching mathematics. Twelve preschool teachers in China…

Uncovering student thinking about mathematics in the common core, grades 6-8 25 formative assessment probes

CERN Document Server

Tobey, Cheryl Rose

2013-01-01

Pinpoint and reverse math misconceptions with laser-like accuracyQuickly and reliably uncover common math misconceptions in Grades 6-8 with these convenient and easy-to-implement diagnostic tools! Bestselling authors Cheryl Tobey and Carolyn Arline provide 25 new assessment probes that pinpoint subconcepts within the new Common Core Standards for Mathematics to promote deep learning and expert math instruction--while learning is already underway.Completely CCSM aligned, these grade-specific probes eliminate the guesswork and help teachers: Systematically address conceptual and procedural mistakes Help students better understand areas of struggle Plan targeted instruction that covers Grades 6-8 CCSM mathematical processes and proficiencies.

The 400W at 1.8K Test Facility at CEA-Grenoble

Science.gov (United States)

Roussel, P.; Girard, A.; Jager, B.; Rousset, B.; Bonnay, P.; Millet, F.; Gully, P.

2006-04-01

A new test facility with a cooling capacity respectively of 400W at 1.8K or 800W at 4.5K, is now under nominal operation in SBT (Low Temperature Department) at CEA Grenoble. It has been recently used for thermohydraulic studies of two phase superfluid helium in autumn 2004. In the near future, this test bench will allow: - to test industrial components at 1.8K (magnets, cavities of accelerators) - to continue the present studies on thermohydraulics of two phase superfluid helium - to develop and simulate new cooling loops for ITER Cryogenics, and other applications such as high Reynolds number flows This new facility consists of a cold box connected to a warm compressor station (one subatmospheric oil ring pump in series with two screw compressors). The cold box, designed by AIR LIQUIDE, comprises two centrifugal cold compressors, a cold turbine, a wet piston expander, counter flow heat exchangers and two phase separators at 4.5K and 1.8K. The new facility uses a Programmable Logic Controller (PLC) connected to a bus for the measurements. The design is modular and will allow the use of saturated fluid flow (two phase flow at 1.8K or 4.5K) or single phase fluid forced flow. Experimental results and cooling capacity in different operation modes are detailed.

In accordance with a "more majestic order". The new math and the nature of mathematics at midcentury.

Science.gov (United States)

Phillips, Christopher J

2014-09-01

The "new math" curriculum, one version of which was developed in the 1950s and 1960s by the School Mathematics Study Group under the auspices of the National Science Foundation, occasioned a great deal of controversy among mathematicians. Well before its rejection by parents and teachers, some mathematicians were vocal critics, decrying the new curriculum because of the way it described the practice and history of the discipline. The nature of mathematics, despite the field's triumphs in helping to win World War II and its midcentury promotion as the key to a modern technological society, was surprisingly contested in this period. Supporters of the School Mathematics Study Group, like its director, Edward Begle, emphasized the importance of portraying mathematics as a system of abstract structures, while opponents like Morris Kline argued that math was essentially a tool for understanding the natural world. The debate about the curriculum--and the role of mathematicians in its design--was also a debate about the underlying identity of the subject itself.

Gifted Education in Korea: Three Korean High Schools for the Mathematically Gifted

Science.gov (United States)

Choi, Kyong Mi; Hon, Dae Sik

2009-01-01

This article presents a brief history of three Korean high schools for mathematically gifted students. It describes how these schools operate, how their mathematics curricula differ compared to those of regular high schools, the admissions criteria, curriculum offered, and the student and teacher population. This review of specialized, science,…

Mathematics of Risk Taking

Indian Academy of Sciences (India)

Author Affiliations. K B Athreya1 2 M G Nadkarni3. Department of Mathematics Iowa State University, Ames, Iowa; I M I, Department of Mathematics, Indian Institute of Science, Bangalore, 560012, India. Department of Mathematics, University of Mumbai Kalina, Mumbai, 400098, India.

Incorporating the Common Core's Problem Solving Standard for Mathematical Practice into an Early Elementary Inclusive Classroom

Science.gov (United States)

Fletcher, Nicole

2014-01-01

Mathematics curriculum designers and policy decision makers are beginning to recognize the importance of problem solving, even at the earliest stages of mathematics learning. The Common Core includes sense making and perseverance in solving problems in its standards for mathematical practice for students at all grade levels. Incorporating problem…

The DREME Network: Research and Interventions in Early Childhood Mathematics.

Science.gov (United States)

Day-Hess, Crystal; Clements, Douglas H

2017-01-01

The DREME Network was created to advance the field of early mathematics research and improves the opportunities to develop math competencies offered to children birth through age 8 years, with an emphasis on the preschool years. All four main Network projects will have implications for interventions. Section 1 introduces the Network and its four projects. The remainder of the chapter focuses on one of these four projects, Making More of Math (MMM), in depth. MMM is directly developing an intervention for children, based on selecting high-quality instructional activities culled from the burgeoning curriculum resources. We first report a review of 457 activities from 6 research-based curricula, which describes the number of activities by content focus, type (nature), and setting of each activity. Given the interest in higher-order thinking skills and self-regulation, we then identified activities that had the potential to, develop both mathematics and executive function (EF) proficiencies. We rated these, selecting the top 10 for extensive coding by mathematics content and EF processes addressed. We find a wide divergence across curricula in all these categories and provide comprehensive reports for those interested in selecting, using, or developing early mathematics curricula. © 2017 Elsevier Inc. All rights reserved.

Washback Effect of University Entrance exams in Applied Mathematics to Social Sciences.

Science.gov (United States)

Rodríguez-Muñiz, Luis J; Díaz, Patricia; Mier, Verónica; Alonso, Pedro

2016-01-01

Curricular issues of subject Applied Mathematics to Social Sciences are studied in relation to university entrance exams performed in several Spanish regions between 2009-2014. By using quantitative and qualitative analyses, it has been studied how these exams align with curriculum and how they produce a washback on curriculum and teachers' work. Additionally, one questionnaire about teachers' practices has been performed, in order to find out how the exams are influencing teaching methodology development. Main results obtained show that evaluation is producing a bias on the official curriculum, substantially simplifying the specific orientation that should guide applied mathematics. Furthermore, teachers' practices are influenced by the exams, and they usually approach their teaching methodology to the frequent types of exams. Also, slight differences among the teachers lead to distinguish two behavioral subgroups. Results can also be useful in an international context, because of the importance of standardized exit exams in OECD countries.

Curriculum Change: What Do Teachers and Students Really Think?

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Jacob, Rosemary; Frid, Sandra

This study examined secondary teachers' and recent secondary school graduates' awareness of curriculum change in mathematics and its impact upon teaching and learning. Fifty-three secondary teachers and 54 students enrolled in first year university programs at Northern Territory University (Australia) were surveyed about their awareness and…

The Politics of Developing and Maintaining Mathematics and Science Curriculum Content Standards. Research Monograph.

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Kirst, Michael W.; Bird, Robin L.

The movement toward math and science curriculum standards is inextricably linked with high-stakes politics. There are two major types of politics discussed in this paper: the allocation of curriculum content, and the political issues involved in systemic change. Political strategies for gaining assent to national, state, and local content…

Student and high-school characteristics related to completing a science, technology, engineering or mathematics (STEM) major in college

Science.gov (United States)

LeBeau, Brandon; Harwell, Michael; Monson, Debra; Dupuis, Danielle; Medhanie, Amanuel; Post, Thomas R.

2012-04-01

Background: The importance of increasing the number of US college students completing degrees in science, technology, engineering or mathematics (STEM) has prompted calls for research to provide a better understanding of factors related to student participation in these majors, including the impact of a student's high-school mathematics curriculum. Purpose: This study examines the relationship between various student and high-school characteristics and completion of a STEM major in college. Of specific interest is the influence of a student's high-school mathematics curriculum on the completion of a STEM major in college. Sample: The sample consisted of approximately 3500 students from 229 high schools. Students were predominantly Caucasian (80%), with slightly more males than females (52% vs 48%). Design and method: A quasi-experimental design with archival data was used for students who enrolled in, and graduated from, a post-secondary institution in the upper Midwest. To be included in the sample, students needed to have completed at least three years of high-school mathematics. A generalized linear mixed model was used with students nested within high schools. The data were cross-sectional. Results: High-school predictors were not found to have a significant impact on the completion of a STEM major. Significant student-level predictors included ACT mathematics score, gender and high-school mathematics GPA. Conclusions: The results provide evidence that on average students are equally prepared for the rigorous mathematics coursework regardless of the high-school mathematics curriculum they completed.

Mathematical Intelligence and Mathematical Creativity: A Causal Relationship

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Tyagi, Tarun Kumar

2017-01-01

This study investigated the causal relationship between mathematical creativity and mathematical intelligence. Four hundred thirty-nine 8th-grade students, age ranged from 11 to 14 years, were included in the sample of this study by random cluster technique on which mathematical creativity and Hindi adaptation of mathematical intelligence test…

Science Curriculum Guide, Level 4.

Science.gov (United States)

Newark School District, DE.

The fourth of four levels in a K-12 science curriculum is outlined. In Level 4 (grades 9-12), science areas include earth science, biology, chemistry, and physics. Six major themes provide the basis for study in all levels (K-12). These are: Change, Continuity, Diversity, Interaction, Limitation, and Organization. In Level 4, all six themes are…

Learning Mathematics by Designing, Programming, and Investigating with Interactive, Dynamic Computer-Based Objects

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Marshall, Neil; Buteau, Chantal

2014-01-01

As part of their undergraduate mathematics curriculum, students at Brock University learn to create and use computer-based tools with dynamic, visual interfaces, called Exploratory Objects, developed for the purpose of conducting pure or applied mathematical investigations. A student's Development Process Model of creating and using an Exploratory…

Transformation of teacher identity through a Mathematical Literacy ...

African Journals Online (AJOL)

The Advanced Certificate in Education in Mathematical Literacy programme was designed to expose participants to knowledge and understanding of the ML curriculum (meaning), development of an integrated approach to teaching and learning, classroom didactics, lesson plans (practice), and group work activities where ...

The Alignment of easyCBM[R] Math Measures to Curriculum Standards. Technical Report #1002

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Nese, Joseph F. T.; Lai, Cheng-Fei; Anderson, Daniel; Park, Bitnara Jasmine; Tindal, Gerald; Alonzo, Julie

2010-01-01

The purpose of this study was to examine the alignment of the easyCBM[R] mathematics benchmark and progress monitoring measures to the National Council of Teachers of Mathematics "Curriculum Focal Points" (NCTM, 2006). Based on Webb's alignment model (1997, 2002), we collected expert judgments on individual math items across a sampling of forms…

Investigation of Pre-School Teachers' Beliefs about Mathematics Education in Terms of Their Experience and Structure of Their Education

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Karatas, Ilhan; Guven, Bulent; Öztürk, Yasin; Arslan, Selahattin; Gürsöy, Kadir

2017-01-01

The aim of this study was to determine pre-school teachers' beliefs about teaching mathematics to young learners. In this context, we compared preschool teachers' beliefs with mathematical learning, talent-development-age appropriateness for mathematical learning, the nature of mathematics, the curriculum, teacher efficacy, and the teacher's role…

Key Concept Mathematics and Management Science Models

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Macbeth, Thomas G.; Dery, George C.

1973-01-01

The presentation of topics in calculus and matrix algebra to second semester freshmen along with a treatment of exponential and power functions would permit them to cope with a significant portion of the mathematical concepts that comprise the essence of several disciplines in a business school curriculum. (Author)

Developing a model of pedagogical content knowledge for secondary and post-secondary mathematics instruction

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Shandy Hauk

2014-07-01

Full Text Available The accepted framing of mathematics pedagogical content knowledge (PCK as part of mathematical knowledge for teaching has centered on the question: What mathematical reasoning, insight, understanding, and skills are required for a person to teach elementary mathematics? Many have worked to address this question in K-8 teaching. Yet, there remains a call for examples and theory in the context of teachers with greater mathematical preparation and older students with varied and complex experiences in learning mathematics. In this theory development report we offer background and examples for an extended model of PCK – as the interplay among conceptually-rich mathematical understandings, experience in and of teaching, and multiple culturally-mediated classroom interactions.

The effect of integrating lab experiments in electronic circuits into mathematic studies - a case study

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Sabag, Nissim

2017-10-01

The importance of knowledge and skills in mathematics for electrical engineering students is well known. Engineers and engineering educators agree that any engineering curriculum must include plenty of mathematics studies to enrich the engineer's toolbox. Nevertheless, little attention has been given to the possible contribution of examples from engineering fields for the clarification of mathematical issues.

Curriculum Redesign in Veterinary Medicine: Part I.

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Chaney, Kristin P; Macik, Maria L; Turner, Jacqueline S; Korich, Jodi A; Rogers, Kenita S; Fowler, Debra; Scallan, Elizabeth M; Keefe, Lisa M

Curricular review is considered a necessary component for growth and enhancement of academic programs and requires time, energy, creativity, and persistence from both faculty and administration. At Texas A&M College of Veterinary Medicine & Biomedical Sciences (TAMU), the faculty and administration partnered with the university's Center for Teaching Excellence to create a faculty-driven, data-enhanced curricular redesign process. The 8-step process begins with the formation of a dedicated faculty curriculum design team to drive the redesign process and to support the college curriculum committee. The next steps include defining graduate outcomes and mapping the current curriculum to identify gaps and redundancies across the curriculum. Data are collected from internal and external stakeholders including veterinary students, faculty, alumni, and employers of graduates. Data collected through curriculum mapping and stakeholder engagement substantiate the curriculum redesign. The guidelines, supporting documents, and 8-step process developed at TAMU are provided to assist other veterinary schools in successful curricular redesign. This is the first of a two-part report that provides the background, context, and description of the process for charting the course for curricular change. The process involves defining expected learning outcomes for new graduates, conducting a curriculum mapping exercise, and collecting stakeholder data for curricular evaluation (steps 1-4). The second part of the report describes the development of rubrics that were applied to the graduate learning outcomes (steps 5-8) and engagement of faculty during the implementation phases of data-driven curriculum change.

Developing Student-Centered Learning Model to Improve High Order Mathematical Thinking Ability

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Saragih, Sahat; Napitupulu, Elvis

2015-01-01

The purpose of this research was to develop student-centered learning model aiming to improve high order mathematical thinking ability of junior high school students of based on curriculum 2013 in North Sumatera, Indonesia. The special purpose of this research was to analyze and to formulate the purpose of mathematics lesson in high order…

Enhancing Science and Mathematics Education for Child Care Providers and Preschool Teachers.

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White, Jennifer Meux; Hosoume, Kimi

The Lawrence Hall of Science (LHS), University of California at Berkeley has completed a 3-year project to develop a science and mathematics education course and science curriculum for early childhood educators. This project was in response to the need for improving the science and mathematics knowledge and teaching skills of adults who work with…

A study of competence in mathematics and mechanics in an engineering curriculum

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Munns, Andrew

2017-11-01

Professional bodies expect engineers to show competence in both mathematics and engineering topics such as mechanics, using their abilities in both of these to solve problems. Yet within engineering programmes there is a phenomenon known as 'The Mathematics Problem', with students not demonstrating understanding of the subject. This paper will suggest that students are constructing different concept images in engineering and mathematics, based on their perception of either the use or exchange-value for the topics. Using a mixed methods approach, the paper compares 10 different types of concept image constructed by students, which suggests that familiar procedural images are preferred in mathematics. In contrast strategic and conceptual images develop for mechanics throughout the years of the programme, implying that different forms of competence are being constructed by students between the two subjects. The paper argues that this difference is attributed to the perceived use-value of mechanics in the career of the engineer, compared to the exchange-value associated with mathematics. Questions are raised about the relevance of current definitions of competence given that some routine mathematical operations previously performed by engineers are now being replaced by technology, in the new world of work.

The nature of mathematical enrichment: a case study of implementation

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Jennifer Susan Piggott

2007-12-01

Full Text Available This paper reports a framework for describing the nature of mathematics enrichment that emerged from a case study based on the work of the NRICH Project (www.nrich.maths.org team when producing “mathematics enrichment trails” (an ordered set of related mathematics problems and support materials. A range of data sources, including the trails, trail development sessions, related literature and the views of colleagues were used to inform the findings. The data were analysed using NVivo and involved the development of two complementary coding systems. One, drawn from the data itself, gave evidence of views of the content aspects of mathematical enrichment. The other, specifically designed and informed by the literature, was used to aid the analysis of the roles of teaching and learning inherent in views of enrichment described by participants. The framework describes the content of an enrichment curriculum as well as implications for teaching and learning, the experiences of learners and the features of settings where this occurs. To support this, some detail is provided on the role, nature and purpose of problem-solving and what constitutes a good problem. While emerging from a particular context, the framework highlights the need for debate concerning the audience for mathematics enrichment, particularly in questioning the commonly held belief that its value is in supporting the needs of the mathematically most able. The framework also has potential value through offering a focus for debate within the wider community concerning the nature of mathematics enrichment and as a reference point for evaluating the potential of existing or new curriculum to deliver mathematics enrichment.

Washback Effect of University Entrance exams in Applied Mathematics to Social Sciences

Science.gov (United States)

Díaz, Patricia; Mier, Verónica; Alonso, Pedro

2016-01-01

Curricular issues of subject Applied Mathematics to Social Sciences are studied in relation to university entrance exams performed in several Spanish regions between 2009–2014. By using quantitative and qualitative analyses, it has been studied how these exams align with curriculum and how they produce a washback on curriculum and teachers’ work. Additionally, one questionnaire about teachers’ practices has been performed, in order to find out how the exams are influencing teaching methodology development. Main results obtained show that evaluation is producing a bias on the official curriculum, substantially simplifying the specific orientation that should guide applied mathematics. Furthermore, teachers’ practices are influenced by the exams, and they usually approach their teaching methodology to the frequent types of exams. Also, slight differences among the teachers lead to distinguish two behavioral subgroups. Results can also be useful in an international context, because of the importance of standardized exit exams in OECD countries. PMID:27936103

Mathematics Education in Singapore – An Insider’s Perspective

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Berinderjeet Kaur

2014-07-01

Full Text Available Singapore’s Education System has evolved over time and so has Mathematics Education in Singapore. The present day School Mathematics Curricula can best be described as one that caters for the needs of every child in school. It is based on a framework that has mathematical problem solving as its primary focus. The developments from 1946 to 2012 that have shaped the present School Mathematics Curricula in Singapore are direct consequences of developments in the Education System of Singapore during the same period. The curriculum, teachers, leaners and the learning environment may be said to contribute towards Singapore’s performance in international benchmark studies such as TIMSS and PISA.

Children Hungering for Justice: Curriculum on Hunger and Children's Rights, Grades K-4.

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Gray, Kaaren St. Armour

This curriculum is designed to introduce students to the issues of world hunger and children's rights. The curriculum includes more than enough material for two hour-long lessons. Each lesson can stand on its own; however, the interrelated nature of the topics lends itself to presenting both parts of the packet. If time is limited, suggestions are…

Dialogue in mathematics classrooms: Beyond question-and- answer methods

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Karin Brodie

2007-10-01

Full Text Available This paper explores different kinds of interaction observed in South African mathematics classrooms in order to unpack the notion of participation in mathematics learning. It argues that conventional question-and-answer methods do not promote the kind of interaction that the new South African curriculum calls for. It presents more appropriate kinds of interactions, where teachers maintain high task demands, respond to genuine learner questions and support conversations among learners. The paper argues that combinations of different kinds of interaction are  most likely to support learner participation and mathematical thinking in classrooms.

Mathematics Teachers' Perceptions of Their Students' Mathematical Competence: Relations to Mathematics Achievement, Affect, and Engagement in Singapore and Australia

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Areepattamannil, Shaljan; Kaur, Berinderjeet

2013-01-01

This study, drawing on data from the Trends in International Mathematics and Science Study (TIMSS) 2011, examined whether mathematics teachers' perceptions of their students' mathematical competence were related to mathematics achievement, affect toward mathematics, and engagement in mathematics lessons among Grade 8 students in Singapore and…

Mathematics education a spectrum of work in mathematical sciences departments

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Hsu, Pao-sheng; Pollatsek, Harriet

2016-01-01

Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its val...

From Prescribed Curriculum to Classroom Practice: An Examination of the Implementation of the New York State Earth Science Standards

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Contino, Julie; Anderson, O. Roger

2013-01-01

In New York State (NYS), Earth science teachers use the "National Science Education Standards" (NSES), the NYS "Learning Standards for Mathematics, Science and Technology" (NYS Standards), and the "Physical Setting/Earth Science Core Curriculum" (Core Curriculum) to create local curricula and daily lessons. In this…

Pre-Service Teachers' Beliefs about Knowledge, Mathematics, and Science

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Cady, Jo Ann; Rearden, Kristin

2007-01-01

This study examines the beliefs of K-8 preservice teachers during a content methods course. The goals of this course included exposing the preservice teachers to student-centered instructional methods for math and science and encouraging the development of lessons that would integrate mathematics and science. Prior research suggested that one must…

Analyses of Children's Mathematics Proficiency from ECLS-K 1998 and 2010 Cohorts: Why Early Mathematics?

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Lee, Joohi; Pant, Mohan D.

2017-01-01

This article presents the correlation analyses of mathematics item response theory scores from the Early Childhood Longitudinal Study, Kindergarten Class of 1998 and 2010 data, and proposes the critical need for systematic efforts to improve the quality of pre- and in-service teachers of young children in teaching mathematics.

Mathematics education and the dignity of being

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Paola Valero

2012-11-01

Full Text Available On the grounds of our work as researchers, teacher educators and teachers engaging with a socio-political approach in mathematics education in Colombia, we propose to understand democracy in terms of the possibility of constructing a social subjectivity for the dignity of being. We address the dilemma of how the historical insertion of school mathematics in relation to the Colonial project of assimilation of Latin American indigenous peoples into the episteme of the Enlightenment and Modernity is in conflict with the possibility of the promotion of a social subjectivity in mathematics classrooms. We illustrate a pedagogical possibility to move towards a mathematics education for social subjectivity with our work in reassembling the notion of geometrical space in the Colombian secondary school mathematics curriculum with notions of space from critical geography and the problem of territorialisation, and Latin American epistemology with the notion of intimate space as an important element of social subjectivity.

The Compatibility of Developed Mathematics Textbooks' Content in Saudi Arabia (Grades 6-8) with NCTM Standards

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Alshehri, Mohammed Ali; Ali, Hassan Shawki

2016-01-01

This study aimed to investigate the compatibility of developed mathematics textbooks' content (grades 6-8) in Saudi Arabia with NCTM standards in the areas of: number and operations, algebra, geometry, measurement, data analysis and probability. To achieve that goal, a list of (NCTM) standards for grades (6-8) were translated to Arabic language,…

Uncovering Hidden Mathematics of the Multiplication Table Using Spreadsheets

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Sergei Abramovich

2007-05-01

Full Text Available This paper reveals a number of learning activities emerging from a spreadsheetgenerated multiplication table. These activities are made possible by using such features of the software as conditional formatting, circular referencing, calculation through iteration, scroll bars, and graphing. The paper is a reflection on a mathematics content course designed for prospective elementary teachers using the hidden mathematics curriculum framework. It is written in support of standards for teaching and recommendations for teachers in North America.

Mathematics for engineering

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Bolton, W

2012-01-01

Mathematics for Engineering has been carefully designed to provide a maths course for a wide ability range, and does not go beyond the requirements of Advanced GNVQ. It is an ideal text for any pre-degree engineering course where students require revision of the basics and plenty of practice work. Bill Bolton introduces the key concepts through examples set firmly in engineering contexts, which students will find relevant and motivating. The second edition has been carefully matched to the Curriculum 2000 Advanced GNVQ units:

The Integration of Mathematics in Middle School Science: Student and Teacher Impacts Related to Science Achievement and Attitudes Towards Integration

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McHugh, Luisa

Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to improved student perception of the integration of science and mathematics. Although there is adequate literature to substantiate students' positive responses to integration in terms of attitudes, there has been little empirical data to support significant academic improvement when both disciplines are taught in an integrated method. This research study, conducted at several school districts on Long Island and New York City, New York, examined teachers' attitudes toward integration and students' attitudes about, and achievement on assessments in, an integrated 8th grade science classroom compared to students in a non-integrated classroom. An examination of these parameters was conducted to analyze the impact of the sizeable investment of time and resources needed to teach an integrated curriculum effectively. These resources included substantial teacher training, planning time, collaboration with colleagues, and administration of student assessments. The findings suggest that students had positive outcomes associated with experiencing an integrated science and mathematics curriculum, though these were only weakly correlated with teacher confidence in implementing the integrated model successfully. The positive outcomes included the ability of students to understand scientific concepts within a concrete mathematical framework, improved confidence in applying mathematics to scientific ideas, and increased agreement with the usefulness of mathematics in interpreting science concepts. Implications of these research findings may be of benefit to educators and policymakers looking to adapt integrated curricula in order to

The Development of K-8 Progress Monitoring Measures in Mathematics for Use with the 2% and General Education Populations: Grade 8. Technical Report # 09-04

Science.gov (United States)

Lai, Cheng Fei; Alonzo, Julie; Tindal, Gerald

2009-01-01

In this technical report, we describe the development and piloting of a series of mathematics progress monitoring measures intended for use with students in grades kindergarten through eighth grade. These measures, available as part of easyCBM[TM], an online progress monitoring assessment system, were developed in 2007 and 2008 and administered to…

Electromagnetic Spectrum. 7th and 8th Grade Agriculture Science Curriculum. Teacher Materials.

Science.gov (United States)

Southern Illinois Univ., Carbondale. Dept. of Agricultural Education and Mechanization.

This curriculum guide, the second in a set of six, contains teacher and student materials for a unit on the electromagnetic spectrum prepared as part of a seventh- and eighth-grade agricultural science curriculum that is integrated with science instruction. The guide contains the state goals and sample learning objectives for each goal for…

West Nile Virus: Using Adapted Primary Literature in Mathematical Biology to Teach Scientific and Mathematical Reasoning in High School

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Norris, Stephen P.; Macnab, John S.; Wonham, Marjorie; de Vries, Gerda

2009-01-01

This paper promotes the use of adapted primary literature as a curriculum and instruction innovation for use in high school. Adapted primary literature is useful for promoting an understanding of scientific and mathematical reasoning and argument and for introducing modern science into the schools. We describe a prototype adapted from a published…

The Affordances of Using a Flipped Classroom Approach in the Teaching of Mathematics: A Case Study of a Grade 10 Mathematics Class

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Muir, Tracey; Geiger, Vince

2016-01-01

Teaching secondary mathematics has a number of challenges, including the expectations that teachers cover the prescribed curriculum, help students learn difficult concepts, prepare students for future studies, and, increasingly, that they do so incorporating digital technologies. This study investigates a teacher's, and his students', perceptions…

THE IMPORTANCE OF INDIVIDUAL APPROACH IN TEACHING HIGHER MATHEMATICS AT TECHNICAL UNIVERSITIES

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Medvedeva Natal'ya Aleksandrovna

2015-12-01

Full Text Available The article discusses the importance of an individual approach when considering the time needed for learning basic technical courses of a technical University (such as higher mathematics, physics, etc. to motivate a student to obtain 100% standard of mastering the educational material using the experience of the Department of mathematics. In the modern conditions of the world of information technologies it is extremely important to teach people how to handle information independently and, what is the most important, to assess it. As you know, universities set a certain studying time for each academic subject fixed by curriculum. But time should not be a constant component. Obviously, such a new approach will require innovation in the methodological literature. Using the experience of the Department of Mathematics of MGSU the author offers methodical developments and research works for studying under the direction of a teacher along with standard digestion of the curriculum.

Craft Lessons: Teaching Writing K-8. Second Edition

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Fletcher, Ralph; Portalupi, JoAnn

2007-01-01

Since its publication in 1998 Craft Lessons has become a mainstay of writing teachers, both new and experienced. Practical lessons--each printed on one page--and the instructional language geared to three grade-level groupings: K-2, 3-4, and 5-8 are contained in this book. In the decade since Craft Lessons' publication the world has changed in…

Students with ‘Special Rights' for mathematics education

DEFF Research Database (Denmark)

Lindenskov, Lena; Gervasoni, Ann

2011-01-01

The issues of equity and quality have been central to international debates on mathematics in research, policy, curriculum and teaching. This book covers a wide variety of topics in the research and practice of mathematics education, demonstrating how equity and quality are inherently political...... equity and quality within various educational contexts and with a variety of marginalized populations. Written by teachers, researchers and academics from all over the world, this book represents a powerful response to the international call for quality education of all students in mathematics around...... terms whose political bedrock is obscured by them being taken for granted. Mapping Equity and Quality in Mathematics Education is broken into four parts. Section 1 addresses the constructs of equity and quality from a variety of theoretical perspectives and outlines new directions to approach...

Children Hungering for Justice: Curriculum on Hunger and Children's Rights, Grades 5-8.

Science.gov (United States)

van Berkum, Carla

This curriculum is designed to introduce students to the issues of world hunger and children's rights. The curriculum includes more than enough material for two hour-long lessons. Each lesson can stand on its own; however, the interrelated nature of the topics lends itself to presenting both parts of the packet. If time is limited, suggestions are…

An approach critical in mathematics education: Opportunities and interaction theory-practice-through critical mathematics education

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Itamar Miranda da Silva

2011-06-01

Full Text Available This paper discusses the possibilities of articulation of theory-and-practice in the teaching, by means of critical mathematics education as a proposal for the teacher facing the challenges of daily life in the classroom. The discussion is based on the literature through which was estudied and analyzed several books, articles and dissertations on the subject, as well as our experiences and reflections resulting from the process of teacher education we experienced. From the readings and analysis was possible to construct a teaching proposal that suggests to address critical mathematics education as an alternative link between theory and practice and to assign to the teaching of mathematics a greater dynamism, with the prospect of developing knowledge and pedagogical practices that contribute to a broader training, which prepares for citizenship and for being critical students and teachers in the training process. Conjectures were raised about possible contributions of critical mathematics education as a differentiated alternative as opposed to reproductivist teaching. We believe therefore that this article could help with the reflections on the importance of mathematics education in teacher education which enables the realization that beyond disciplinary knowledge (content, are necessary pedagogical knowledge, curriculum and experiential to address the problems that relate to the teaching of mathematics

An Application of Cognitive Diagnostic Assessment on TIMMS-2007 8th Grade Mathematics Items

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Toker, Turker; Green, Kathy

2012-01-01

The least squares distance method (LSDM) was used in a cognitive diagnostic analysis of TIMSS (Trends in International Mathematics and Science Study) items administered to 4,498 8th-grade students from seven geographical regions of Turkey, extending analysis of attributes from content to process and skill attributes. Logit item positions were…

Experiencing Socially Relevant Applications in the High School Mathematics Curriculum: Students' Perspectives on Mathematics as a Tool for Social Inquiry

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Brelias, Anastasia

2009-01-01

The purpose of this study was to examine the use of socially relevant mathematics applications in high school mathematics classrooms and students' views of mathematics in light of their experiences with these applications. Also, the study sought to determine whether inquiries afforded by these applications incorporated features that promoted…

Parameter estimation for mathematical models of a nongastric H+(Na+)-K+(NH4+)-ATPase

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Nadal-Quirós, Mónica; Moore, Leon C.

2015-01-01

The role of nongastric H+-K+-ATPase (HKA) in ion homeostasis of macula densa (MD) cells is an open question. To begin to explore this issue, we developed two mathematical models that describe ion fluxes through a nongastric HKA. One model assumes a 1H+:1K+-per-ATP stoichiometry; the other assumes a 2H+:2K+-per-ATP stoichiometry. Both models include Na+ and NH4+ competitive binding with H+ and K+, respectively, a characteristic observed in vitro and in situ. Model rate constants were obtained by minimizing the distance between model and experimental outcomes. Both 1H+(1Na+):1K+(1NH4+)-per-ATP and 2H+(2Na+):2K+(2NH4+)-per-ATP models fit the experimental data well. Using both models, we simulated ion net fluxes as a function of cytosolic or luminal ion concentrations typical for the cortical thick ascending limb and MD region. We observed that 1) K+ and NH4+ flowed in the lumen-to-cytosol direction, 2) there was competitive behavior between luminal K+ and NH4+ and between cytosolic Na+ and H+, 3) ion fluxes were highly sensitive to changes in cytosolic Na+ or H+ concentrations, and 4) the transporter does mostly Na+/K+ exchange under physiological conditions. These results support the concept that nongastric HKA may contribute to Na+ and pH homeostasis in MD cells. Furthermore, in both models, H+ flux reversed at a luminal pH that was <5.6. Such reversal led to Na+/H+ exchange for a luminal pH of <2 and 4 in the 1:1-per-ATP and 2:2-per-ATP models, respectively. This suggests a novel role of nongastric HKA in cell Na+ homeostasis in the more acidic regions of the renal tubules. PMID:26109090

Parameter estimation for mathematical models of a nongastric H+(Na+)-K(+)(NH4+)-ATPase.

Science.gov (United States)

Nadal-Quirós, Mónica; Moore, Leon C; Marcano, Mariano

2015-09-01

The role of nongastric H(+)-K(+)-ATPase (HKA) in ion homeostasis of macula densa (MD) cells is an open question. To begin to explore this issue, we developed two mathematical models that describe ion fluxes through a nongastric HKA. One model assumes a 1H(+):1K(+)-per-ATP stoichiometry; the other assumes a 2H(+):2K(+)-per-ATP stoichiometry. Both models include Na+ and NH4+ competitive binding with H+ and K+, respectively, a characteristic observed in vitro and in situ. Model rate constants were obtained by minimizing the distance between model and experimental outcomes. Both 1H(+)(1Na(+)):1K(+)(1NH4 (+))-per-ATP and 2H(+)(2Na(+)):2K(+)(2NH4 (+))-per-ATP models fit the experimental data well. Using both models, we simulated ion net fluxes as a function of cytosolic or luminal ion concentrations typical for the cortical thick ascending limb and MD region. We observed that (1) K+ and NH4+ flowed in the lumen-to-cytosol direction, (2) there was competitive behavior between luminal K+ and NH4+ and between cytosolic Na+ and H+, 3) ion fluxes were highly sensitive to changes in cytosolic Na+ or H+ concentrations, and 4) the transporter does mostly Na+ / K+ exchange under physiological conditions. These results support the concept that nongastric HKA may contribute to Na+ and pH homeostasis in MD cells. Furthermore, in both models, H+ flux reversed at a luminal pH that was <5.6. Such reversal led to Na+ / H+ exchange for a luminal pH of <2 and 4 in the 1:1-per-ATP and 2:2-per-ATP models, respectively. This suggests a novel role of nongastric HKA in cell Na+ homeostasis in the more acidic regions of the renal tubules. Copyright © 2015 the American Physiological Society.

[The discussion of the infiltrative model of mathematical knowledge to genetics teaching].

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Liu, Jun; Luo, Pei-Gao

2011-11-01

Genetics, the core course of biological field, is an importance major-basic course in curriculum of many majors related with biology. Due to strong theoretical and practical as well as abstract of genetics, it is too difficult to study on genetics for many students. At the same time, mathematics is one of the basic courses in curriculum of the major related natural science, which has close relationship with the establishment, development and modification of genetics. In this paper, to establish the intrinsic logistic relationship and construct the integral knowledge network and to help students improving the analytic, comprehensive and logistic abilities, we applied some mathematical infiltrative model genetic knowledge in genetics teaching, which could help students more deeply learn and understand genetic knowledge.

Strategy for integration of coastal culture in learning process of mathematics in junior high school

Science.gov (United States)

Suyitno, H.; Zaenuri; Florentinus, T. S.; Zakaria, E.

2018-03-01

Traditional life in the fishing family is part of the local culture. Many School-age children in the fishing family drop-outs due to lack of parents motivation and the environment was less supportive. The problems were: (1) How the strategy of integration of local culture in learning process of mathematics in Junior High School (JHS)? (2) How to prepare the Mathematics Student’s Book for grade 7 of JHS that based on coastal culture, that has an ISBN, has international level, applicable, and in accordance with the current curriculum? The purposes of this research were: (1) to obtain the strategy of integration of local culture in learning process of mathematics in JHS, through FGD between UNNES and UKM; (2) to obtain the experts validation, through Focus Group Discussion (FGD) between UNNES and UKM toward the draft of the Mathematics Student’s Book for grade 7 of JHS that based on coastal culture; (3) produces Mathematics Student’s Book for grade 7 SMP which based on coastal culture and has an ISBN, international, applicable, and in accordance with the curriculum. The research activity was a qualitative research, so that the research methods include: (1) data reduction, (2) display data, (3) data interpretation, and (4) conclusion/verification. The main activities of this research: drafting the Mathematics Student’s Book of Grade 7 which based on coastal culture; get the validation from international partners;conducting FGD at Education Faculty of Universiti Kebangsaan Malaysia through the program of visiting lecturers for getting the Mathematics Student’s Book of grade 7 which based on coastal culture, registering for ISBN, and publishing the reasearch results in International seminar and International Journals. The results of this research were as follows. (1) Getting a good strategy for integration of local culture in learning process of mathematics in JHS. (2) Getting the Mathematics Student’s Book for grade 7 of JHS that based on coastal culture

Visuospatial training improves elementary students' mathematics performance.

Science.gov (United States)

Lowrie, Tom; Logan, Tracy; Ramful, Ajay

2017-06-01

Although spatial ability and mathematics performance are highly correlated, there is scant research on the extent to which spatial ability training can improve mathematics performance. This study evaluated the efficacy of a visuospatial intervention programme within classrooms to determine the effect on students' (1) spatial reasoning and (2) mathematics performance as a result of the intervention. The study involved grade six students (ages 10-12) in eight classes. There were five intervention classes (n = 120) and three non-intervention control classes (n = 66). A specifically designed 10-week spatial reasoning programme was developed collaboratively with the participating teachers, with the intervention replacing the standard mathematics curriculum. The five classroom teachers in the intervention programme presented 20 hr of activities aimed at enhancing students' spatial visualization, mental rotation, and spatial orientation skills. The spatial reasoning programme led to improvements in both spatial ability and mathematics performance relative to the control group who received standard mathematics instruction. Our study is the first to show that a classroom-based spatial reasoning intervention improves elementary school students' mathematics performance. © 2017 The British Psychological Society.

Mathematics Teachers and Curriculum Renewal - A Process of Change and Growth.

Science.gov (United States)

Lovitt, Charles; And Others

1985-01-01

Accompanying curriculum renewal efforts in Australia is the need of teachers to increase their repertoire of skills. Strategies supporting the process of change are discussed, including developing a bank of exemplary lessons and a structured environment for testing such lessons. Three examples of school projects are described. (MNS)

The Impact of a "Framework"-Aligned Science Professional Development Program on Literacy and Mathematics Achievement of K-3 Students

Science.gov (United States)

Paprzycki, Peter; Tuttle, Nicole; Czerniak, Charlene M.; Molitor, Scott; Kadervaek, Joan; Mendenhall, Robert

2017-01-01

This study investigates the effect of a Framework-aligned professional development program at the PreK-3 level. The NSF funded program integrated science with literacy and mathematics learning and provided teacher professional development, along with materials and programming for parents to encourage science investigations and discourse around…

Usefulness of 8 kDa protein of Fasciola hepatica in diagnosis of fascioliasis

Science.gov (United States)

Kim, Kwangsig; Yang, Hyun Jong

2003-01-01

This study was designed to detect and evaluate an antigenicity of low molecular weight proteins of Fasciola hepatica in fascioliasis. Low molecular weight protein of F. hepatica was purified by ammonium sulfate precipitation and Sephacryl S-100 HR gel filtration. The protein obtained was estimated to be 8 kDa on 7.5-15% gradient sodium dodecyl sulfate gel electrophoresis. Immunoblotting studies showed that the 8 kDa protein reacted with human fascioliasis sera, but not other trematodiasis sera. This result suggests that the 8 kDa protein of F. hepatica is one of diagnostic antigens in human fascioliasis without cross-reaction with other human trematodiasis. PMID:12815325

Professional development as a strategy for curriculum implementation in multidisciplinary science education

NARCIS (Netherlands)

Visser, Talitha Christine

2012-01-01

Schoolteachers must deal with curriculum innovations during their teaching careers. In 2005, the Dutch Ministry of Education, Culture and Science introduced committees to develop and redesign the curricula for chemistry, biology, physics, and mathematics in secondary education. The purpose of

Curriculum-Based Language Assessment With Culturally and Linguistically Diverse Students in the Context of Mathematics.

Science.gov (United States)

Newkirk-Turner, Brandi L; Johnson, Valerie E

2018-04-05

The purpose of this tutorial is to discuss the use of curriculum-based language assessment (CBLA) with students who are English language learners and students who speak nonmainstream varieties of English, such as African American English. The article begins with a discussion of the discourse of mathematics and the role of the speech-language pathologist (SLP), followed by a review of studies that includes those that examined the performance of English language learner and nonmainstream dialect-speaking students on word-based math items. The literature review highlights the linguistic and content biases associated with word-based math problems. Useful strategies that SLPs and educators can incorporate in culturally and linguistically appropriate assessments are discussed. The tutorial ends with a discussion of CBLA as a viable assessment approach to use with culturally and linguistically diverse students. Tests used at national, state, and school levels to assess students' math abilities have associated linguistic bias and content bias often leading to an inaccurate depiction of culturally and linguistically diverse students' math skills. CBLA as an assessment method can be used by school-based SLPs to gather valid and useful information about culturally and linguistically diverse students' language for learning math. By using CBLA, SLPs can help modify curricular tasks in broader contexts in an effort to make math, including high-level math, "accessible and achievable for all" students (American Speech-Language-Hearing Association, 2017).

Mathematization in introductory physics

Science.gov (United States)

Brahmia, Suzanne M.

Mathematization is central to STEM disciplines as a cornerstone of the quantitative reasoning that characterizes these fields. Introductory physics is required for most STEM majors in part so that students develop expert-like mathematization. This dissertation describes coordinated research and curriculum development for strengthening mathematization in introductory physics; it blends scholarship in physics and mathematics education in the form of three papers. The first paper explores mathematization in the context of physics, and makes an original contribution to the measurement of physics students' struggle to mathematize. Instructors naturally assume students have a conceptual mastery of algebra before embarking on a college physics course because these students are enrolled in math courses beyond algebra. This paper provides evidence that refutes the validity of this assumption and categorizes some of the barriers students commonly encounter with quantification and representing ideas symbolically. The second paper develops a model of instruction that can help students progress from their starting points to their instructor's desired endpoints. Instructors recognize that the introductory physics course introduces new ideas at an astonishing rate. More than most physicists realize, however, the way that mathematics is used in the course is foreign to a large portion of class. This paper puts forth an instructional model that can move all students toward better quantitative and physical reasoning, despite the substantial variability of those students' initial states. The third paper describes the design and testing of curricular materials that foster mathematical creativity to prepare students to better understand physics reasoning. Few students enter introductory physics with experience generating equations in response to specific challenges involving unfamiliar quantities and units, yet this generative use of mathematics is typical of the thinking involved in

A Primer for Mathematical Modeling

Science.gov (United States)

Sole, Marla

2013-01-01

With the implementation of the National Council of Teachers of Mathematics recommendations and the adoption of the Common Core State Standards for Mathematics, modeling has moved to the forefront of K-12 education. Modeling activities not only reinforce purposeful problem-solving skills, they also connect the mathematics students learn in school…

The Effects of Elementary Departmentalization on Mathematics Proficiency

Science.gov (United States)

Taylor-Buckner, Nicole C.

2014-01-01

Mathematics education in the elementary schools has experienced many changes in recent decades. With the curriculum becoming more complex as a result of each modification, immense pressure has been put on schools to increase student proficiency. The Common Core State Standards is the latest example of this. These revisions to the mathematics…

Shifts in funding for science curriculum design and their (unintended) consequences

NARCIS (Netherlands)

Pareja Roblin, Natalie; Schunn, Christian; Bernstein, Debra; McKenney, Susan

2016-01-01

Federal agencies in the Unites States invest heavily in the development of science curriculum materials, which can significantly facilitate science education reform. The current study describes the characteristics of K-12 science curriculum materials produced by federally funded projects between

Making Earth Science Relevant in the K-8 Classroom. The Development of an Instructional Soils Module for Pre-Service Elementary Teachers Using the Next Generation Science Standards

Science.gov (United States)

Baldwin, K. A.; Hauge, R.; Dechaine, J. M.; Varrella, G.; Egger, A. E.

2013-12-01

's STEP Center in the geosciences. The module goals are: 1) Pre-service teachers will apply classification methods, testing procedures and interdisciplinary systems thinking to analyze and evaluate a relevant societal issue in the context of soils, 2) Pre-service teachers will design, develop, and facilitate a standards-based K-8 soils unit, incorporating a relevant broader societal issue that applies authentic geoscientific data, and incorporates geoscientific habits of mind. In addition, pre-service teachers will look toward the NGSS and align activities with content standards, systems thinking, and science and engineering practices. This poster will provide an overview of module development to date as well as a summary of pre-semester survey results indicating pre-service elementary teachers' ideas (beliefs, attitudes, preconceptions, and content knowledge) about teaching soils, and making science relevant in a K-8 classroom.

The Astrobiology in Secondary Classrooms (ASC) curriculum: focusing upon diverse students and teachers.

Science.gov (United States)

Arino de la Rubia, Leigh S

2012-09-01

The Minority Institution Astrobiology Collaborative (MIAC) began working with the NASA Goddard Center for Astrobiology in 2003 to develop curriculum materials for high school chemistry and Earth science classes based on astrobiology concepts. The Astrobiology in Secondary Classrooms (ASC) modules emphasize interdisciplinary connections in astronomy, biology, chemistry, geoscience, physics, mathematics, and ethics through hands-on activities that address national educational standards. Field-testing of the Astrobiology in Secondary Classrooms materials occurred over three years in eight U.S. locations, each with populations that are underrepresented in the career fields of science, technology, engineering, and mathematics. Analysis of the educational research upon the high school students participating in the ASC project showed statistically significant increases in students' perceived knowledge and science reasoning. The curriculum is in its final stages, preparing for review to become a NASA educational product.

Explaining Dimensions of Middle School Mathematics Teachers’ Use of Textbooks

Directory of Open Access Journals (Sweden)

Meric ÖZGELDİ

2012-12-01

Full Text Available Abstract The purpose of the study was to describe middle school mathematics teachers’ use of textbooks. For this purpose, the Use of Mathematics Textbooks Questionnaire was distributed to 531 middle school mathematics teachers. The results of the study showed that teachers used the student edition textbook during the class and prior to class; and mostly read it for the topic, but rarely for problems and examples. Teachers frequently selected questions from the workbook that were not included in the student edition textbook. They frequently used questions in the workbook similar to the ones in the high school entrance exam questions. They used the teacher edition textbook to read the curriculum objectives and to prepare for the class but they very rarely tended to look up the answers of the questions from the teacher edition textbook. They frequently used auxiliary books to select questions that were not included in the student edition textbook. Key words: mathematics textbooks, mathematics teachers’ use of textbooks, middle school Özet Bu çalışmanın amacı, ilköğretim matematik öğretmenlerinin ders kitabı kullanımlarını tanımlamaktır. Bu amaçla, Matematik Öğretmenlerinin Ders Kitabı Kullanım Ölçeği, 531 ilköğretim matematik öğretmenine dağıtılmıştır. Çalışmanın sonuçları göstermektedir ki, öğretmenler ders kitabını sıklıkla derse hazırlık sürecinde ve ders sırasında kullanırken nadiren problemler ve örnekler için kullanmaktadır. Öğretmenler özellikle konunun günlük hayatla ilişkilendirilmesi, diğer derslerle bağlantı kurulması, konu sırasının takibi için ders kitabından faydalanmaktadır. Öğretmenler, çoğunlukla çalışma kitabında bulunan merkezi sınav sorularına benzer soruları kullanmaktadır. Öğretmen kılavuzunu ise kazanımlara bakmak ve derse hazırlık yapmak için kullanmaktadır. Bununla beraber, öğretmenler yardımcı kitapları merkezi s

Use of D8K's at the Arjuzanx lignite mine

Energy Technology Data Exchange (ETDEWEB)

1978-11-01

Gives a general account of the Arjuzanx opencast site, Landes, which supplies a 245 MW thermal power station. Describes the special use of Caterpillar machines: three D8's for loading out of dirt under the stacker at the rate of 2500 t/hour, over a maximum distance of 120 m and two D8H's with three D8K tractors, fitted with a special device for snaking the conveyor forward. The drivers' cabs are sound-proofed and air-conditioned.

Explore-create-share study: An evaluation of teachers as curriculum innovators in engineering education

Science.gov (United States)

Berry, Ayora

The purpose of this study was to investigate the effects of a curriculum design-based (CDB) professional development model on K-12 teachers' capacity to integrate engineering education in the classroom. This teacher professional development approach differs from other training programs where teachers learn how to use a standard curriculum and adopt it in their classrooms. In a CDB professional development model teachers actively design lessons, student resources, and assessments for their classroom instruction. In other science, technology, engineering and mathematics (STEM) disciplines, CDB professional development has been reported to (a) position teachers as architects of change, (b) provide a professional learning vehicle for educators to reflect on instructional practices and develop content knowledge, (c) inspire a sense of ownership in curriculum decision-making among teachers, and (d) use an instructional approach that is coherent with teachers' interests and professional goals. The CDB professional development program in this study used the Explore-Create-Share (ECS) framework as an instructional model to support teacher-led curriculum design and implementation. To evaluate the impact of the CDB professional development and associated ECS instructional model, three research studies were conducted. In each study, the participants completed a six-month CDB professional development program, the PTC STEM Certificate Program, that included sixty-two instructional contact hours. Participants learned about industry and education engineering concepts, tested engineering curricula, collaborated with K-12 educators and industry professionals, and developed project-based engineering curricula using the ECS framework. The first study evaluated the impact of the CDB professional development program on teachers' engineering knowledge, self-efficacy in designing engineering curriculum, and instructional practice in developing project-based engineering units. The study

Teaching Mathematics to Secondary Students with Emotional and Behavioral Disorders: Challenges and Practical Suggestions for Teachers

Science.gov (United States)

Mulcahy, Candace A.; Krezmien, Michael; Maccini, Paula

2014-01-01

While the Common Core State Standards and state learning standards guide teachers in what mathematical content knowledge should be addressed as well as the processes and proficiencies necessary for developing mathematical competence, several student- and teacher-related factors may hinder student access to the general education curriculum for…

NASA Rat Acoustic Tolerance Test 1994-1995: 8 kHz, 16 kHz, 32 kHz Experiments

Science.gov (United States)

Mele, Gary D.; Holley, Daniel C.; Naidu, Sujata

1996-01-01

Adult male Sprague-Dawley rats were exposed to chronic applied sound (74 to 79 dB, SPL) with octave band center frequencies of either 8, 16 or 32 kHz for up to 60 days. Control cages had ambient sound levels of about 62 dB (SPL). Groups of rats (test vs. control; N=9 per group) were euthanized after 0. 5. 14, 30, and 60 days. On each euthanasia day, objective evaluation of their physiology and behavior was performed using a Stress Assessment Battery (SAB) of measures. In addition, rat hearing was assessed using the brain stem auditory evoked potential (BAER) method after 60 days of exposure. No statistically significant differences in mean daily food use could be attributed to the presence of the applied test sound. Test rats used 5% more water than control rats. In the 8 kHz and 32 kHz tests this amount was statistically significant(P less than .05). This is a minor difference of questionable physiological significance. However, it may be an indication of a small reaction to the constant applied sound. Across all test frequencies, day 5 test rats had 6% larger spleens than control rats. No other body or organ weight differences were found to be statistically significant with respect to the application of sound. This spleen effect may be a transient adaptive process related to adaptation to the constant applied noise. No significant test effect on differential white blood cell counts could be demonstrated. One group demonstrated a low eosinophil count (16 kHz experiment, day 14 test group). However this was highly suspect. Across all test frequencies studied, day 5 test rats had 17% fewer total leukocytes than day 5 control rats. Sound exposed test rats exhibited 44% lower plasma corticosterone concentrations than did control rats. Note that the plasma corticosterone concentration was lower in the sound exposed test animals than the control animals in every instance (frequency exposure and number of days exposed).

A Study of Competence in Mathematics and Mechanics in an Engineering Curriculum

Science.gov (United States)

Munns, Andrew

2017-01-01

Professional bodies expect engineers to show competence in both mathematics and engineering topics such as mechanics, using their abilities in both of these to solve problems. Yet within engineering programmes there is a phenomenon known as "The Mathematics Problem", with students not demonstrating understanding of the subject. This…

Nuclear power and the science curriculum

International Nuclear Information System (INIS)

Scott, W.

1980-01-01

The curriculum provision in UK schools for studies of nuclear power, its scientific aspects, its technologies and its effect upon society are examined in the light of present concern for an informed lay opinion. (U.K.)

Teaching Economics in the Former Soviet Union: New Curriculum, Old Instruction?

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Osipian, Ararat L.

2004-01-01

This article suggests that the reform of economic instruction in the Former Soviet Union should focus on both learning and action. The incorporation of mathematical methods into the new economic curriculum will occur based on close cooperation among mathematicians and economists. The new economic instruction will have an interdisciplinary…

Enhancing the Teaching and Learning of Mathematical Visual Images

Science.gov (United States)

Quinnell, Lorna

2014-01-01

The importance of mathematical visual images is indicated by the introductory paragraph in the Statistics and Probability content strand of the Australian Curriculum, which draws attention to the importance of learners developing skills to analyse and draw inferences from data and "represent, summarise and interpret data and undertake…

Commonplace Intersections within a High School Mathematics Leadership Institute

Science.gov (United States)

Sack, Jacqueline J.

2008-01-01

This narrative inquiry weaves Schwab's commonplaces of curriculum and Clandinin, Pushor, and Murray Orr's narrative commonplaces through stories of conflict between a professional developer and 30 high school lead teachers. In her role as manager of a mathematics leadership institute situated between two urban public school districts and a…

The Role of the Mathematics Supervisor in K-12 Education

Science.gov (United States)

Greenes, Carole

2013-01-01

The implementation of "the Common Core Standards for Mathematics" and the assessments of those concepts, skills, reasoning methods, and mathematical practices that are in development necessitate the updating of teachers' knowledge of content, pedagogical techniques to enhance engagement and persistence, and strategies for responding to…

Ocean Sciences Sequence for Grades 6-8: Climate Change Curriculum Developed Through a Collaboration Between Scientists and Educators

Science.gov (United States)

Halversen, C.; Weiss, E. L.; Pedemonte, S.

2016-02-01

Today's youth have been tasked with the overwhelming job of addressing the world's climate future. The students who will become the scientists, policy makers, and citizens of tomorrow must gain a robust understanding of the causes and effects of climate change, as well as possible adaptation strategies. Currently, few high quality curriculum materials exist that address climate change in a developmentally appropriate manner. The NOAA-funded Ocean Sciences Sequence for Grades 6-8: The Ocean-Atmosphere Connection and Climate Change (OSS) addresses this gap by providing teachers with scientifically accurate climate change curriculum that hits on some of the most salient points in climate science, while simultaneously developing students' science process skills. OSS was developed through a collaboration between some of the nation's leading ocean and climate scientists and the Lawrence Hall of Science's highly qualified curriculum development team. Scientists were active partners throughout the entire development process, from initial brainstorming of key concepts and creating the conceptual storyline for the curriculum to final review of the content and activities. The goal was to focus strategically and effectively on core concepts within ocean and climate sciences that students should understand. OSS was designed in accordance with the latest research from the learning sciences and provides numerous opportunities for students to develop facility with science practices by "doing" science.Through hands-on activities, technology, informational readings, and embedded assessments, OSS deeply addresses a significant number of standards from the Next Generation Science Standards and is being used by many teachers as they explore the shifts required by NGSS. It also aligns with the Ocean Literacy and Climate Literacy Frameworks. OSS comprises 33 45-minute sessions organized into three thematic units, each driven by an exploratory question: (1) How do the ocean and atmosphere

Elevate or Relegate? The Relative Importance of Mathematics

Science.gov (United States)

Huckstep, Peter

2007-01-01

The value of any subject on a crowded, contested and compulsory curriculum is, or at least should be, open to debate. More importantly, when different subjects are prioritized over others, the justification for the ranking of such subjects should also be submitted to sustained enquiry. Mathematics enjoys a prestigious place in the English National…

An Ecological System Curriculum: An Integrated MST Approach to Environmental Science Education.

Science.gov (United States)

Leonhardt, Nina A.

This paper describes an inquiry-based, student-centered mathematics, science, and technology curriculum guide. It features activities addressing such environmental science topics as groundwater modeling, water filtration, soil permeability and porosity, water temperature and salinity, and quadrant studies. Activities are organized so that the…

What is the problem in problem-based learning in higher education mathematics

Science.gov (United States)

Dahl, Bettina

2018-01-01

Problem and Project-Based Learning (PBL) emphasise collaborate work on problems relevant to society and emphases the relation between theory and practice. PBL fits engineering students as preparation for their future professions but what about mathematics? Mathematics is not just applied mathematics, but it is also a body of abstract knowledge where the application in society is not always obvious. Does mathematics, including pure mathematics, fit into a PBL curriculum? This paper argues that it does for two reasons: (1) PBL resembles the working methods of research mathematicians. (2) The concept of society includes the society of researchers to whom theoretical mathematics is relevant. The paper describes two cases of university PBL projects in mathematics; one in pure mathematics and the other in applied mathematics. The paper also discusses that future engineers need to understand the world of mathematics as well as how engineers fit into a process of fundamental-research-turned-into-applied-science.

Correlation Educational Model in Primary Education Curriculum of Mathematics and Computer Science

Science.gov (United States)

Macinko Kovac, Maja; Eret, Lidija

2012-01-01

This article gives insight into methodical correlation model of teaching mathematics and computer science. The model shows the way in which the related areas of computer science and mathematics can be supplemented, if it transforms the way of teaching and creates a "joint" lessons. Various didactic materials are designed, in which all…

An Archaeological/Genealogical Historical Analysis of The National Council of Teachers of Mathematics' Standards Documents

Science.gov (United States)

Bullock, Erika Catherine

2013-01-01

Since the mid-20th century in the United States, there have been several reform movements within mathematics education; each movement has been subject to its own unique socio-cultural and -political forces. The National Council of Teachers of Mathematics' (NCTM) Standards documents--"Curriculum and Evaluation Standards for School…

Resources for teaching resources for teaching mathematics 14-16

CERN Document Server

Foster, Colin

2010-01-01

This book contains 70 ready-to-use mathematics lessons suitable for students aged 14-16. Some lessons offer alternative routes through the curriculum, such as practising indices by solving radical equations, while others concentrate on difficult ideas, like appreciating that not all mathematical relationships are linear. Each plan consists of a teacher's sheet, providing: ? the aims and objectives of the lesson ? a lesson starter, main phase, plenary and homework ideas, each with suggested timeframes ? guidance on how to adapt the activities to cater for students working at different levels; a

[Mathematics - astronomy - astrology special library].

Science.gov (United States)

Gluch, Sibylle

2011-01-01

About 1560 Elector August of Saxony created an unusual library--one distinguished within its period by both its specialization and location. Situated within the Kunstkammer this library was mostly dedicated to the mathematical sciences and related disciplines. It contained works by the most important authors on mathematics, astronomy, and astrology from the classical, medieval, and early modern periods. This essay traces the formation and composition of August's library, and examines its function: What kind of relationship existed between the library and the Kunstkammer? In what way did the library mirror the interests of the Elector, and to what extend does it permit inferences regarding the Elector's knowledge of mathematics? From the analysis August emerges not as a specialist with a deep understanding of mathematics, but as a particular aficionado of mathematical applications. As a practitioner and general follower of the mathematical arts he took part in a far-reaching intellectual network the center of which lay in the University of Wittenberg. Here, Melanchthon had effectively strengthened the importance of the mathematical disciplines within the university curriculum. He regarded mathematics as the foremost science, arguing that before all other disciplines its method enabled man to recognize the harmonic order of the world, and to discern divine providence. Thus, mathematics offered consoling stability and support in an often seemingly chaotic world torn by religious controversies. This kind of esteem for the mathematical sciences did not presuppose expert knowledge. Hence, the fact that August does not appear to have read the mathematical books he collected does not come as a contradiction. On the contrary, for August it sufficed to recognize the potential of the mathematical sciences, which he brought into life through the creation of a specialized library that developed a rhetoric of its own. The collection of his Kunstkammer library spoke of a

A Discussion of the Statistical Investigation Process in the Australian Curriculum

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McQuade, Vivienne

2013-01-01

Statistics and statistical literacy can be found in the Learning Areas of Mathematics, Geography, Science, History and the upcoming Business and Economics, as well as in the General Capability of Numeracy and all three Crosscurriculum priorities. The Australian Curriculum affords many exciting and varied entry points for the teaching of…

An investigation of mathematics and science instruction in English and Spanish for English language learners

Science.gov (United States)

Rodriguez-Esquivel, Marina

The contextual demands of language in content area are difficult for ELLS. Content in the native language furthers students' academic development and native language skills, while they are learning English. Content in English integrates pedagogical strategies for English acquisition with subject area instruction. The following models of curriculum content are provided in most Miami Dade County Public Schools: (a) mathematics instruction in the native language with science instruction in English or (b) science instruction in the native language with mathematics instruction in English. The purpose of this study was to investigate which model of instruction is more contextually supportive for mathematics and science achievement. A pretest and posttest, nonequivalent group design was used with 94 fifth grade ELLs who received instruction in curriculum model (a) or (b). This allowed for statistical analysis that detected a difference in the means of .5 standard deviations with a power of .80 at the .05 level of significance. Pretreatment and post-treatment assessments of mathematics, reading, and science achievement were obtained through the administration of Aprenda-Segunda Edicion and the Florida Comprehensive Achievement Test. The results indicated that students receiving mathematics in English and Science in Spanish scored higher on achievement tests in both Mathematics and Science than the students who received Mathematics in Spanish and Science in English. In addition, the mean score of students on the FCAT mathematics examination was higher than their mean score on the FCAT science examination regardless of the language of instruction.

Examination of Mathematics Teachers' Pedagogical Content Knowledge of Probability

Science.gov (United States)

Danisman, Sahin; Tanisli, Dilek

2017-01-01

The aim of this study is to explore the probability-related pedagogical content knowledge (PCK) of secondary school mathematics teachers in terms of content knowledge, curriculum knowledge, student knowledge, and knowledge of teaching methods and strategies. Case study design, a qualitative research model, was used in the study, and the…

Mathematical Creativity and Mathematical Aptitude: A Cross-Lagged Panel Analysis

Science.gov (United States)

Tyagi, Tarun Kumar

2016-01-01

Cross-lagged panel correlation (CLPC) analysis has been used to identify causal relationships between mathematical creativity and mathematical aptitude. For this study, 480 8th standard students were selected through a random cluster technique from 9 intermediate and high schools of Varanasi, India. Mathematical creativity and mathematical…

An investigation into the opportunity to learn that is available to Grade 12 mathematics learners

Directory of Open Access Journals (Sweden)

Gerrit Stols

2013-01-01

Full Text Available This study investigated the opportunity to learn (OTL that is available to Grade 12 mathematics learners. Learner workbooks were analysed in terms of time on task, curriculum coverage, curriculum coherence, and cognitive demand. Based on these elements, experienced mathematics teachers judged the opportunity that the learners have to achieve more than 60% for each topic. According to the workbooks, the average number of active learning days in this sample was 54.1 days per annum. This resulted in limited curriculum coverage in almost all sections in 16 of the 18 under-performing schools. In these schools, learners spent most of their time practising routine procedures. The high correlation of 0.95 (p < 0.001 between the experts'prediction about the opportunity to learn in the different schools (based on the learner workbooks and learners' actual performance in the Grade 12 exam shows that the number, the coverage, the cognitive level, and the coherence of activities play a major role in understanding learner performance.

Quantum field theory I: Basics in mathematics and physics. A bridge between mathematicians and physicists

International Nuclear Information System (INIS)

Zeidler, Eberhard

2009-01-01

This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics. (orig.)

Quantum field theory I: Basics in mathematics and physics. A bridge between mathematicians and physicists

Energy Technology Data Exchange (ETDEWEB)

Zeidler, Eberhard [Max-Planck-Institut fuer Mathematik in den Naturwissenschaften, Leipzig (Germany)

2009-07-01

This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics. (orig.)

K(3)TaF(8) from laboratory X-ray powder data.

Science.gov (United States)

Smrcok, Lubomír; Cerný, Radovan; Boca, Miroslav; Macková, Iveta; Kubíková, Blanka

2010-02-01

The crystal structure of tripotassium octafluoridotantalate, K(3)TaF(8), determined from laboratory powder diffraction data by the simulated annealing method and refined by total energy minimization in the solid state, is built from discrete potassium cations, fluoride anions and monocapped trigonal-prismatic [TaF(7)](2-) ions. All six atoms in the asymmetric unit are in special positions of the P6(3)mc space group: the Ta and one F atom in the 2b (3m) sites, the K and two F atoms in the 6c (m) sites, and one F atom in the 2a (3m) site. The structure consists of face-sharing K(6) octahedra with a fluoride anion at the center of each octahedron, forming chains of composition [FK(3)](2+) running along [001] with isolated [TaF(7)](2-) trigonal prisms in between. The structure of the title compound is different from the reported structure of Na(3)TaF(8) and represents a new structure type.

An Investigation of the Engagement of Elementary Students in the NCTM Process Standards after One Year of Standards-Based Instruction

Science.gov (United States)

Fillingim, Jennifer Gale

2010-01-01

Contemporary mathematics education reform has placed increased emphasis on K-12 mathematics curriculum. Reform-based curricula, often referred to as "Standards-based" due to philosophical alignment with the NCTM Process Standards, have generated controversy among families, educators, and researchers. The mathematics education research…

Context-based mathematics tasks in Indonesia : Toward better practice and achievement

NARCIS (Netherlands)

Wijaya, A.

2015-01-01

The Indonesian national curriculum mandates that mathematics education must be relevant to the needs of life and should offer students opportunities to develop the ability to apply their knowledge in society. Furthermore, there are educational movements in Indonesia that promote the application of

Engineering the curriculum: Towards an adaptive curriculum

Science.gov (United States)

Johns-Boast, Lynette Frances

The curriculum is one of the most important artefacts produced by higher education institutions, yet it is one of the least studied. Additionally, little is known about the decision-making of academics when designing and developing their curricula, nor how they make use of them. This research investigates how 22 Australian higher education engineering, software engineering, computer science, and information systems academics conceive of curriculum, what approaches they take when designing, and developing course and program curricula, and what use they make of the curriculum. It also considers the implications of these conceptions and behaviour upon their curricula. Data were collected through a series of one-to-one, in-depth, qualitative interviews as well as small focus group sessions and were analysed following Charmaz’ (2006) approach to grounded theory. In this thesis, I argue that the development of curricula for new higher degree programs and courses and / or the updating and innovating of an existing curriculum is a design problem. I also argue that curriculum is a complex adaptive system. Surrounding the design and development of a curriculum is a process of design that leads to the creation of a designed object - the official-curriculum. The official-curriculum provides the guiding principles for its implementation, which involves the design and development of the curriculum-in-use, its delivery, and evaluation. Data show that while the participants conceive of curriculum as a problem of design involving a design process leading to the development of the official-curriculum, surprisingly, their behaviour does not match their conceptions. Over a very short period, their behaviour leads to a process I have called curriculum drift where the official-curriculum and the curriculum-in-use drift away from each other causing the curriculum to lose its integrity. Curricular integrity is characterised through the attributes of alignment, coherence, and

Experimental evaluation of 8kW grid-connected photovoltaic system in Egypt

OpenAIRE

Elkholy, A.; Fahmy, F.H.; Abou El-Ela, A.A.; Nafeh, Abd El-Shafy A.; Spea, S.R.

2016-01-01

An experimental observation study of 8 kW grid-connected photovoltaic (PV) system that is installed at Electronics Research Institute (ERI), Giza, Egypt (Latitude 30.04°N, Longitude 31.21°E), is presented. This study includes the quality of the electrical power generated and injected into the network. The considered system consists of 28 × 295 Wp multicrystalline PV modules, StecaGrid three-phase 8 kW grid-connected inverter and a Solar-Log 300 PM+ for data acquisition and remote monitoring. ...

Mathematical manipulative models: in defense of "beanbag biology".

Science.gov (United States)

Jungck, John R; Gaff, Holly; Weisstein, Anton E

2010-01-01

Mathematical manipulative models have had a long history of influence in biological research and in secondary school education, but they are frequently neglected in undergraduate biology education. By linking mathematical manipulative models in a four-step process-1) use of physical manipulatives, 2) interactive exploration of computer simulations, 3) derivation of mathematical relationships from core principles, and 4) analysis of real data sets-we demonstrate a process that we have shared in biological faculty development workshops led by staff from the BioQUEST Curriculum Consortium over the past 24 yr. We built this approach based upon a broad survey of literature in mathematical educational research that has convincingly demonstrated the utility of multiple models that involve physical, kinesthetic learning to actual data and interactive simulations. Two projects that use this approach are introduced: The Biological Excel Simulations and Tools in Exploratory, Experiential Mathematics (ESTEEM) Project (http://bioquest.org/esteem) and Numerical Undergraduate Mathematical Biology Education (NUMB3R5 COUNT; http://bioquest.org/numberscount). Examples here emphasize genetics, ecology, population biology, photosynthesis, cancer, and epidemiology. Mathematical manipulative models help learners break through prior fears to develop an appreciation for how mathematical reasoning informs problem solving, inference, and precise communication in biology and enhance the diversity of quantitative biology education.

Living in Water: An Aquatic Science Curriculum for Grades 5-7.

Science.gov (United States)

National Aquarium in Baltimore, MD. Dept. of Education.

"Living in Water" is a classroom-based, scientific study of water, aquatic environments, and the plants and animals that live in water. The lessons in this curriculum integrate basic physical, biological, and earth sciences, and mathematics. The integration of language arts is also considered essential to its success. These lessons do not require…