Mathematics in the K-8 Classroom and Library
McKinney, Sueanne; Hinton, KaaVonia
2010-01-01
Two experts on education offer a rich and diverse selection of children's literature and teaching strategies for the K-8 mathematics classroom. To date, a vast majority of classrooms continue to fall short in the implementation and direction of NCTM Principles and Standards for School Mathematics (PSSM), in part because most of these classrooms…
An Investigation of K-8 Preservice Teachers' Concept Images and Mathematical Definitions of Polygons
Ward, Robin A.
2004-01-01
In this paper, the author presents a study which explored K-8 preservice teachers' concept images and mathematical definitions of polygons. This study was carried out in which K-8 teacher candidates enrolled in an elementary mathematics content course were asked to sort, identify, and provide definitions of such shapes including triangles,…
Perceptions of Preservice Teachers about Adaptive Learning Programs in K-8 Mathematics Education
Smith, Kevin
2018-01-01
Adaptivelearning programs are frequently used in the K-8 mathematics classroom. Theseprograms provide instruction to students at the appropriate level of difficultyby presenting content, providing feedback, and allowing students to masterskills before progressing. The purpose of the study was to seek to interprethow preservice teachers’ experiences influence their perceptions and plans tointegrate adaptive learning programs in their future K-8 mathematics classroom.This was a qualitative stud...
Rethinking the mathematics curriculum
Hoyles, Celia; Woodhouse, Geoffrey
1998-01-01
At a time when political interest in mathematics education is at its highest, this book demonstrates that the issues are far from straightforward. A wide range of international contributors address such questions as: What is mathematics, and what is it for? What skills does mathematics education need to provide as technology advances? What are the implications for teacher education? What can we learn from past attempts to change the mathematics curriculum? Rethinking the Mathematics Curriculum offers stimulating discussions, showing much is to be learnt from the differences in culture, national expectations, and political restraints revealed in the book. This accessible book will be of particular interest to policy makers, curriculum developers, educators, researchers and employers as well as the general reader.
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…
Discrete Mathematics and Curriculum Reform.
Kenney, Margaret J.
1996-01-01
Defines discrete mathematics as the mathematics necessary to effect reasoned decision making in finite situations and explains how its use supports the current view of mathematics education. Discrete mathematics can be used by curriculum developers to improve the curriculum for students of all ages and abilities. (SLD)
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.
Discrete Mathematics and the Secondary Mathematics Curriculum.
Dossey, John
Discrete mathematics, the mathematics of decision making for finite settings, is a topic of great interest in mathematics education at all levels. Attention is being focused on resolving the diversity of opinion concerning the exact nature of the subject, what content the curriculum should contain, who should study that material, and how that…
Rethinking the Tertiary Mathematics Curriculum
Petocz, Peter; Reid, Anna
2005-01-01
Mathematics curriculum at the tertiary level is located within a range of social and cultural theories, and is often constructed by academics seeking to promulgate a particular view of mathematics. We argue that such a curriculum should incorporate a real acknowledgement of the different ways in which students understand the nature of mathematics…
Sign Language for K-8 Mathematics by 3D Interactive Animation
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…
Problem-Based Learning in K-8 Mathematics and Science Education: A Literature Review
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…
Business Mathematics Curriculum Guide. Bulletin 1612. Revised.
Louisiana State Dept. of Education, Baton Rouge. Div. of Academic Programs.
This curriculum guide for business mathematics was developed to establish statewide curriculum standards for the Louisiana Competency-based Education Program. Following an overview of the secondary school mathematics curriculum, eight goals for the business mathematics course are listed. A pacing chart with suggested time periods for each major…
Implementing a new mathematics curriculum: Mathematics teachers’ beliefs and practices
Ernest Ampadu
2013-01-01
Mathematics has become a ‘critical filter’ in the social, economic and professional development of individuals and forms a core component of the school curriculum in most countries. It is upon this utilitarian nature of mathematics to the individual and the society as a whole that the school mathematics curriculum has been undergoing a number of restructuring over the last three decades. In Ghana, a new mathematics curriculum was introduced in September 2007 which aims at shifting the teachin...
Mathematical Modeling in the Undergraduate Curriculum
Toews, Carl
2012-01-01
Mathematical modeling occupies an unusual space in the undergraduate mathematics curriculum: typically an "advanced" course, it nonetheless has little to do with formal proof, the usual hallmark of advanced mathematics. Mathematics departments are thus forced to decide what role they want the modeling course to play, both as a component of the…
Mathematics Curriculum, the Philosophy of Mathematics and its ...
African Journals Online (AJOL)
It is my observation that the current school mathematics curriculum in Ethiopia is not producing competent mathematics students. Many mathematicians in Ethiopia and other part of the world have often expressed grief that the majority of students do not understand mathematical concepts, or do not see why mathematical ...
A Review of New Mathematics Curriculum Materials.
Vanderlin, Carl J., Jr.
This manual outlines the nature of some of the major curriculum projects in mathematics and lists materials which are available from these projects. An introductory statement concerning the history and philosophy of each program is indicated. The curriculum projects reported on are: (1) Boston College Mathematics Institute, (2) Cambridge…
Evolution of Singapore's School Mathematics Curriculum
Kaur, Berinderjeet
2014-01-01
The evolution of Singapore's school mathematics curriculum is in tandem with developments in the education system of Singapore. In the last six decades, economic policies of the government that are necessary for the survival of Singapore in a fast changing world have shaped the aims of the school mathematics curriculum. The present day curriculum…
Math in Motion: Origami in the Classroom. A Hands-On Creative Approach to Teaching Mathematics. K-8.
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…
Discrete mathematics in the high school curriculum
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
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.
Linking geometry and algebra in the school mathematics curriculum
Jones, Keith
2010-01-01
This chapter focuses on the linking of geometry and algebra in the teaching and learning of mathematics - and how, through such linking, the mathematics curriculum might be strengthened. Through reviewing the case of the school mathematics curriculum in England, together with examples of how the power of geometry can bring contemporary mathematics to life in the classroom, the chapter argues for greater concinnity in the mathematics curriculum, especially in terms of the harmonious/purposeful...
Development of mathematics curriculum for Medialogy studentsat Aalborg University
DEFF Research Database (Denmark)
Timcenko, Olga
Abstract This paper addresses mathematics curriculum development for 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 tree times. Some of the reasoning...... behind curriculum development, lessons learned and remaining issues are presented and discussed....
Directory of Open Access Journals (Sweden)
Shintia Revina
2018-02-01
Full Text Available Since the late 1990s, Indonesian mathematics educators have considered Realistic Mathematics Education (RME, the Dutch approach to mathematics instruction, to be the basis for educational reform. In the National curriculum development, RME has, therefore, been reviewed as among the theoretical references to the curriculum goals and content. In the present study, an analysis of the consistency between RME and the curriculum descriptors and contents in Indonesia is presented. This is supplemented with some comparisons to that in the Netherlands. Findings in this study revealed that while most of RME principles are reflected in the Indonesian curriculum, the descriptions were often very general and less explicit compared to the Dutch curriculum. They were also limited by the content-based approach as well as by the centralized decision making process of the contents to be taught which have been pre-determined at the national level. This study suggests future research to see how the curriculum may influence teachers’ enactment of RME at classroom level.
The Role of Reasoning in the Australian Curriculum: Mathematics
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…
Transforming Ethnomathematical Ideas in Western Mathematics Curriculum Texts
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…
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.
Mathematizing: An Emergent Math Curriculum Approach for Young Children
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…
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
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 grade 1. These measures, available as part of easyCBM [TM], an online progress monitoring assessment system, were developed in 2008 and administered to approximately 2800 students from schools…
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 kindergarten. These measures, available as part of easyCBM[TM], an online progress monitoring assessment system, were developed in 2008 and administered to approximately 2800 students from…
Alonzo, Julie; Lai, Cheng Fei; 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…
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…
Alonzo, Julie; Lai, Cheng Fei; 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…
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…
Alonzo, Julie; Lai, Cheng Fei; 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…
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…
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...
Mathematical and Scientific Foundations for an Integrative Engineering Curriculum.
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…
Mathematical Modeling in the High School Curriculum
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…
Real World Connections in High School Mathematics Curriculum and Teaching
Directory of Open Access Journals (Sweden)
Gökhan Karakoç
2015-04-01
Full Text Available Making real world connections in mathematics curricula and in teaching mathematics is generally viewed favorably within the educational community, however, little empirical research has examined how and why to use real world connections in mathematics education based on the views of experts. This study describes the feasibility of the use of real world connections according to high school mathematics teachers and academicians of mathematics education. Opinions of high school mathematics teachers (n=16 and academicians (n=8 about advantages, disadvantages, and examples of real world connections are elicited and reported. Teachers and academicians report several advantages of the use of real world connections in teaching mathematics as well as its disadvantages and limitations. Suggestions about dealing with limiting factors for using real world connections are also reported. Keywords: Mathematics curriculum, real world connections, mathematics teaching
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
Computational experiment approach to advanced secondary mathematics curriculum
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...
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.
Irish, Teresa J.
The aim of this study was to provide insights addressing national concerns in Science, Technology, Engineering, and Mathematics (STEM) education by examining how a set of six perimeter urban K-12 schools were transformed into STEM-focused professional learning communities (PLC). The concept of a STEM Academy as a STEM-focused PLC emphasizes the development of a STEM culture where professional discourse and teaching are focused on STEM learning. The STEM Academies examined used the STEM Academy Measurement Tool and Rubric (Tool) as a catalyst for discussion and change. This Tool was developed with input from stakeholders and used for school-wide initiatives, teacher professional development and K-12 student engagement to improve STEM teaching and learning. Two primary goals of this study were to assess the levels of awareness and use of the tool by all stakeholders involved in the project and to determine how the Tool assisted in the development and advancement of these schools as STEM PLCs. Data from the STEM Academy Participant Survey was analyzed to determine stakeholders' perceptions of the Tool in terms of (i) how aware stakeholders were of the Tool, (ii) whether they participated in the use of the Tool, (iii) how the characteristics of PLCs were perceived in their schools, and finally (iv) how the awareness of the Tool influenced teachers' perceptions of the presence of PLC characteristics. Findings indicate that school faculty were aware of the Tool on a number of different levels and evidence exists that the use of the Tool assisted in the development of STEM Academies, however impact varied from school to school. Implications of this study suggest that the survey should be used for a longer period of time to gain more in-depth knowledge on teachers' perceptions of the Tool as a catalyst across time. Additional findings indicate that the process for using the Tool should be ongoing and involve the stakeholders to have the greatest impact on school culture
Digital Curriculum Resources in Mathematics Education: Foundations for Change
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…
The Place of Problem Solving in Contemporary Mathematics Curriculum Documents
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…
Consumer Citizenship Curriculum Guides for Social Studies, English, Science, Mathematics.
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…
Reform in Turkish Elementary Mathematics Curriculum
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...
Positioning Picture Books within the Mathematics Curriculum
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…
Biological Applications in the Mathematics Curriculum
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…
From Intended Curriculum to Written Curriculum: Examining the "Voice" of a Mathematics Textbook
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…
Directory of Open Access Journals (Sweden)
Antonijević Radovan M.
2006-01-01
Full Text Available This paper considers the main results and some educational implications of the TIMSS 2003 assessment conducted in Serbia, in the fields of mathematics achievement of Serbian eighth grade students and the mathematics curriculum context of their achievement. It was confirmed that Serbian eighth graders have made average scale score of 477 points, and with this achievement they are placed in the zone of intermediate international benchmarking level. The average mathematics achievement of the Serbian eighth graders is somewhat above the average international mathematics achievement. The best result was achieved in the content domain of "algebra", and the lower result in the content domains of "measurement" and "data". In the defined cognitive domains the Serbian students have achieved the best results in "solving routine problems" and "knowing facts and procedures", and the weaker result in "reasoning". Statistically significant difference was found in the mathematics achievement between girls and boys in the Serbian TIMSS 2003 sample, so the girls’ average scale score was 480 points and the same value for the boys was 473 points. The achieved results raise many questions about the contents of mathematics curriculum in Serbia, its quality and basic characteristics of its implementation. These results can be eligibly used to improve the mathematics curriculum and teaching in Serbian primary school.
Digital curriculum resources in mathematics education: foundations for change
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...
Results of Third-Grade Students in a Reform Curriculum on the Illinois State Mathematics Test.
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…
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…
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…
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,
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…
Teaching a High-Level Contextualized Mathematics Curriculum to Adult Basic Learners
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)…
An Analysis of the New 9-Year Basic Education Mathematics Curriculum in Nigeria
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…
The Challenge of Learning Physics before Mathematics: A Case Study of Curriculum Change in Taiwan
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…
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.
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…
Status Report: Mathematics Curriculum-Development Projects Today
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)
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…
Evaluation of an Integrated Curriculum in Physics, Mathematics, Engineering, and Chemistry
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.
Secondary Schools Curriculum Guide, Mathematics, Grades 10-12. Revised.
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…
The Development of e-tutorial on Implementation National Curriculum 2013 for Mathematics Teacher
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 K-8 Aeronautics Internet Textbook
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.
Identifying Avenues for Curriculum Development in Undergraduate Mathematics.
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…
Computer Programming in the UK Undergraduate Mathematics Curriculum
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…
Students' Thinking and the Depth of the Mathematics Curriculum
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…
Enhancing Undergraduate Mathematics Curriculum via Coding Theory and Cryptography
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…
Computer programming in the UK undergraduate mathematics curriculum
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).
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…
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...
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.
Digital curriculum resources in mathematics education: foundations for change
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
Examining Development of Curriculum Knowledge of Prospective Mathematics Teachers
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…
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…
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…
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…
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…
Co-operative learning and adaptive instruction in a mathematics curriculum
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,
Enacting Curriculum Reform through Lesson Study: A Case Study of Mathematics Teacher Learning
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…
Discrete Mathematics in Deaf Education: A Survey of Teachers' Knowledge and Use
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…
The Effects of a Mathematics Infusion Curriculum on Middle School Student Mathematics Achievement
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…
Utilising a construct of teacher capacity to examine national curriculum reform in mathematics
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.
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…
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…
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…
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.
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.
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.
FOSTER, GARRETT R.
A SERIES OF THREE CONFERENCES WAS HELD TO EXPLORE THE FEASIBILITY OF IMPLEMENTING A LONG-RANGE CURRICULUM DEVELOPMENT PROJECT FOR AN UNGRADED, K-12 SCHOOL, BASED ON RECOMMENDATIONS OF THE CAMBRIDGE CONFERENCE ON SCHOOL MATHEMATICS. OVER 50 MATHEMATICIANS, MATHEMATICS EDUCATORS, AND PERSONS INVOLVED IN THEORETICAL AND APPLIED PSYCHOLOGICAL…
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
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
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
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.
Common Core Math in the K-8 Classroom: Results from a National Teacher Survey
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…
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.
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…
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...
H-EtICT-K8 (Health Education through ICT for K-8): Computers and Your Health
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.…
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…
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,…
Directory of Open Access Journals (Sweden)
Robi Kroflič
1997-12-01
Full Text Available Modern curriculum theories emphasize that if we understand the curriculum as a real core substance of education. We have to bear in mind, when planning the curriculum, the whole multitude of factors (curricula which have an influence on the educational impact. In the field of andragogy, we especially have to consider educational needs, and linking the strategies of instruction with those of learning. The best way of realizing this principle is the open strategy of planning the national curriculum and process-developmental strategy of planning with the microandragogic situation. This planning strategy is S1m1lar to the system-integration strategy and Jarvis's model of negotiated curriculum, which derive from the basic andragogic principle: that the interests and capacities of adults for education increase if we enable them to cooperate in the planning and production of the curriculum.
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
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…
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…
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).
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…
Kinder Lernen Deutsch Materials Evaluation Project: Grades K-8.
American Association of Teachers of German.
The Kinder Lernen Deutsch (Children Learn German) project, begun in 1987, is designed to promote German as a second language in grades K-8. The project is premised on the idea that the German program will contribute to the total development of the child and the child's personality. Included in this guide are a selection of recommended core…
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…
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…
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…
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…
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.)
Discrete mathematics in deaf education: a survey of teachers' knowledge and use.
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.
Mathematics, the Computer, and the Impact on Mathematics Education.
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)
MathBrowser: Web-Enabled Mathematical Software with Application to the Chemistry Curriculum, v 1.0
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.
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…
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.
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.
Arizona Traffic Safety Education, K-8. Passenger Safety, Grade 3.
Mesa Public Schools, AZ.
One in a series designed to assist Arizona elementary and junior high school teachers in developing children's traffic safety skills, this curriculum guide contains four lessons and an appendix of school bus safety tips for use in grade 3. Introductory information provided for the teacher includes basic highway safety concepts, stressing…
Directory of Open Access Journals (Sweden)
Sarlita Murdaningsih
2016-01-01
Full Text Available This study aims to analyze and describe the mathematics problems in the eighth grade mathematics textbook of new Indonesian curriculum (K-13 based on The Programme for International Student Assesment (PISA frameworks. The object of this study was the the revised version textbooks of the eighth grade mathematics student’s book published by The Ministry of Education and Culture (Kemendikbud in 2014. The framework of the analysis in this study was the PISA components consisting of process, content, and context with its categories. The research method was descriptive quantitative. The data was collected by observing the contents of the textbook and interviewing the students and the teachers in SMP Negeri 2 Rembang. The analysis showed that the contents of the textbook were in accordance to the PISA components. The result also indicated that in both semester of the students’ book, the problems involving the process of employing mathematical concepts, facts, procedures, and reasoning were more dominant than others. Moreover, in the contexts, the problems were dominated by the personal context. Furthermore, the first semester students’ books were dominated by the change and relationships contents while the second semester books were dominated by the space and shape contents.
Correlation Educational Model in Primary Education Curriculum of Mathematics and Computer Science
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…
Larripa, Kamila R.; Mazzag, Borbala
2016-01-01
Our paper describes a solution we found to a still existing need to develop mathematical modeling courses for undergraduate biology majors. Some challenges of such courses are: (i) relatively limited exposure of biology students to higher-level mathematical and computational concepts; (ii) availability of texts that can give a flavor of how…
Applying Mathematical Concepts with Hands-On, Food-Based Science Curriculum
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…
A Study of Competence in Mathematics and Mechanics in an Engineering Curriculum
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…
Nagle, Courtney; Moore-Russo, Deborah
2014-01-01
This article provides an initial comparison of the Principles and Standards for School Mathematics and the Common Core State Standards for Mathematics by examining the fundamental notion of slope. Each set of standards is analyzed using eleven previously identified conceptualizations of slope. Both sets of standards emphasize Functional Property,…
Elementary School Quality: The Mathematics Curriculum and the Role of Local Knowledge.
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…
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…
Preparing K-8 Teachers to Conduct Inquiry Oriented Science Education
Gross, N. A.; Garik, P.; Nolan, M. D.; Winrich, C.; Derosa, D.; Duffy, A.; Jariwala, M.; Konjoian, B.
2010-12-01
The need for STEM professional development for K-8 teachers is well documented. Such professional development promises broad impact, but it must have a positive effect on teachers’ knowledge and skills: 1) a focus on content knowledge, 2) opportunities for active learning, and 3) coherence with other activities. However, sustained impact is only achieved through intensive professional development. In response to the need for science education courses for K-8 teachers, for the past three years, the School of Education and the Department of Physics have collaborated to offer K-8 teachers science content courses of extended duration (75 contact hours) that emphasize inquiry based learning and investigation. The School of Education graduate courses have consisted of five three-hour meetings during the months of May and June, and a two week intensive period in July when the participants come for six hours per day. The alignment of these courses with inquiry teaching was confirmed using the Reformed Teaching Observation Protocol (RTOP). Courses offered in this format have been: --Immersion in Green Energy (IGE) -alternative sources of energy and how electricity is generated (75 teachers over the last 3 years), --Immersion in Global Energy Distribution (IGED) -understanding global climate as an outcome of insolation, convection, and radiation (27 teachers over the last 2 years) The Immersion courses cover a spectrum for inquiry learning that begins with introduction to equipment and experiments through guided discovery and culminates with students taking responsibility for defining and completing their own investigative projects. As a specific example, we consider here the IGED course. For IGED, the first five sessions are devoted to content and learning to use experimental equipment such as digital data collection probes to measure temperature, CO2 and salinity. Content addressed during these sessions include the differentiation between conduction, convection, and
Rutherford-Becker, Kristy J.; Vanderwood, Michael L.
2009-01-01
The purpose of this study was to evaluate the extent that reading performance (as measured by curriculum-based measures [CBM] of oral reading fluency [ORF] and Maze reading comprehension), is related to math performance (as measured by CBM math computation and applied math). Additionally, this study examined which of the two reading measures was a…
Mathematics Teachers and Curriculum Renewal - A Process of Change and Growth.
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 Curriculum Looping on Standardized Literacy and Mathematics Test Scores
Nessler, Ralph D.
2010-01-01
There is a lack of research on the practice of curriculum looping and student achievement. The purpose of this study was to examine academic achievement between students in looping classes and those in nonlooping classes. The theoretical model of this study was based on the social cognitive theory of Bandura and Maslow's hierarchy of needs theory.…
A study of competence in mathematics and mechanics in an engineering curriculum
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.
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…
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,…
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…
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…
Turner, Nigel E; Macdonald, John; Somerset, Matthew
2008-09-01
Previous studies have shown that youth are two to three times more likely than adults to report gambling related problems. This paper reports on the development and pilot evaluation of a school-based problem gambling prevention curriculum. The prevention program focused on problem gambling awareness and self-monitoring skills, coping skills, and knowledge of the nature of random events. The results of a controlled experiment evaluating the students learning from the program are reported. We found significant improvement in the students' knowledge of random events, knowledge of problem gambling awareness and self-monitoring, and knowledge of coping skills. The results suggest that knowledge based material on random events, problem gambling awareness and self-monitoring skills, and coping skills can be taught. Future development of the curriculum will focus on content to expand the students' coping skill options.
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.
Wightman, Bruce; Hark, Amy T.
2012-01-01
The development of fields such as bioinformatics and genomics has created new challenges and opportunities for undergraduate biology curricula. Students preparing for careers in science, technology, and medicine need more intensive study of bioinformatics and more sophisticated training in the mathematics on which this field is based. In this…
Mathematics Curriculum in Ireland: The Influence of PISA on the Development of Project Maths
Kirwan, Liz
2015-01-01
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…
Secondary Schools Curriculum Guide, Mathematics, Grades 10-12, Levels 87-112.
Rogers, Arnold R., Ed.; And Others
Behavioral objectives for geometry, algebra, computer mathematics, trigonometry, analytic geometry, calculus, and probability are specified for grades 10 through 12. General objectives are stated for major areas under each topic and are followed by a list of specific objectives for that area. This work was prepared under an ESEA Title III…
Mulligan, Joanne
2015-01-01
This commentary adopts a broad perspective in considering the contributions of papers from cross- and interdisciplinary fields of mathematics education, psychology, child development and neuroscience. The discussion aims to complement the commentary by Dindyal, focused on background research on geometry and implications for pedagogy and curricula.…
E. L. Thorndike or Edward Brooks: Two Views on Mathematics Curriculum and Teaching
Cooper-Twamley, Susan; Null, J. Wesley
2009-01-01
When one reads scholars from the past, many of the same problems found in schools in 2009 are quite similar to the problems educators were complaining about more than a century ago. One of the current controversial topics in schools today, for example, is student success, or lack thereof, in mathematics. Because of differences in mathematics…
Randahl, Mira
2016-08-01
This paper reports on a study about how the mathematics textbook was perceived and used by the teacher in the context of a calculus part of a basic mathematics course for first-year engineering students. The focus was on the teacher's choices and the use of definitions, examples and exercises in a sequence of lectures introducing the derivative concept. Data were collected during observations of lectures and an interview, and informal talks with the teacher. The introduction and the treatment of the derivative as proposed by the teacher during the lectures were analysed in relation to the results of the content text analysis of the textbook. The teacher's decisions were explored through the lens of intended learning goals for engineering students taking the mathematics course. The results showed that the sequence of concepts and the formal introduction of the derivative as proposed by the textbook were closely followed during the lectures. The examples and tasks offered to the students focused strongly on procedural knowledge. Although the textbook proposes both examples and exercises that promote conceptual knowledge, these opportunities were not fully utilized during the observed lectures. Possible reasons for the teacher's choices and decisions are discussed.
Directory of Open Access Journals (Sweden)
Siti Badriatul Munawaroh
2017-08-01
Full Text Available The purpose of this research are: (1 description of characteristics and (2 validate thesenior hight school of mathematics syllabus integrated character education with the project assessment, (3 test the effectiveness of the learning material of function in class X. Testing procedure of syllabus and learning used research development of Borg & Gall (1987. The data were processed with descriptive analysis, statistical test t test and regression. The results obtained by the integration of the 10 characters on the senior hight school of mathematics syllabus show a valid syllabus by experts with an average score of 4 (both categories, the maximum score of 5. Test implementation on learning reach effective: (1 the percentage of learners achieve mastery learning by 89, 5%; (2 an increase of characters curiosity of learners of meeting 1 to 2, up to 3, up to 4 each score gain of 0.17; 0.30; 0.31; (3 the influence of the curiosity of students to the learning outcomes of 48.9%, (4 the average learning outcomes of students experimental class (77.2 is better than the control class (76.2. Thus, each character can bring a change in behavior according to the character programmed and observed in the learning process in focus. Coordination learning at every level stated in the syllabus.
Eringen, A Cemal
2013-01-01
Continuum Physics: Volume 1 - Mathematics is a collection of papers that discusses certain selected mathematical methods used in the study of continuum physics. Papers in this collection deal with developments in mathematics in continuum physics and its applications such as, group theory functional analysis, theory of invariants, and stochastic processes. Part I explains tensor analysis, including the geometry of subspaces and the geometry of Finsler. Part II discusses group theory, which also covers lattices, morphisms, and crystallographic groups. Part III reviews the theory of invariants th
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.
Ice, Ice, Baby: A Program for Sustained, Classroom-Based K-8 Teacher Professional Development
Hamilton, C.
2009-12-01
Ice, Ice, Baby is a K-8 science program created by the education team at the Center for the Remote Sensing of Ice Sheets (CReSIS), an NSF-funded science and technology center headquartered at the University of Kansas. The twenty-four hands-on activities, which constitute the Ice, Ice, Baby curriculum, were developed to help students understand the role of polar ice sheets in sea level rise. These activities, presented in classrooms by CReSIS' Educational Outreach Coordinator, demonstrate many of the scientific properties of ice, including displacement and density. Student journals are utilized with each lesson as a strategy for improving students' science process skills. Journals also help the instructor identify misconceptions, assess comprehension, and provide students with a year-long science reference log. Pre- and post- assessments are given to both teachers and students before and after the program, providing data for evaluation and improvement of the Ice, Ice, Baby program. While students are actively engaged in hands-on learning about the unusual topics of ice sheets, glaciers, icebergs and sea ice, the CReSIS' Educational Coordinator is able to model best practices in science education, such as questioning and inquiry-based methods of instruction. In this way, the Ice, Ice, Baby program also serves as ongoing, in-class, professional development for teachers. Teachers are also provided supplemental activities to do with their classes between CReSIS' visits to encourage additional science lessons, reinforce concepts taught in the Ice, Ice, Baby program, and to foster teachers' progression toward more reform-based science instruction.
Bailey, Judy
2013-01-01
Teacher education can provide opportunities for contributing towards a re-envisaging of the teaching and learning of mathematics in the primary classroom. This study documents the experiences of one student teacher who, during her mathematics education courses, embraced a perception of mathematics as a social, creative and experiential discipline.…
Stein, Sherman K
2010-01-01
Anyone can appreciate the beauty, depth, and vitality of mathematics with the help of this highly readable text, specially developed from a college course designed to appeal to students in a variety of fields. Readers with little mathematical background are exposed to a broad range of subjects chosen from number theory, topology, set theory, geometry, algebra, and analysis. Starting with a survey of questions on weight, the text discusses the primes, the fundamental theorem of arithmetic, rationals and irrationals, tiling, tiling and electricity, probability, infinite sets, and many other topi
International Nuclear Information System (INIS)
Demazure, M.
1988-01-01
The 1988 progress report of the Mathematics center (Polytechnic School, France), is presented. The Center is composed of different research teams: analysis, Riemann geometry, group theory, formal calculus and algorithm geometry, dynamical systems, topology and singularity. For each team, the members, the research topics, the national and international cooperations, are given. The papers concerning the investigations carried out in 1988, are listed [fr
Making physics fun key concepts, classroom activities, and everyday examples, grades K-8
Prigo, Robert
2007-01-01
In easy-to-understand language, this resource presents engaging, ready-to-use learning experiences that address the "big ideas" in K-8 science education and help students make larger, real-world connections.
Using Mathematics in Science: Working with Your Mathematics Department
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…
Celedón-Pattichis, Sylvia; LópezLeiva, Carlos Alfonso; Pattichis, Marios S.; Llamocca, Daniel
2013-01-01
There is a strong need in the United States to increase the number of students from underrepresented groups who pursue careers in Science, Technology, Engineering, and Mathematics. Drawing from sociocultural theory, we present approaches to establishing collaborations between computer engineering and mathematics/bilingual education faculty to…
Randahl, Mira
2016-01-01
This paper reports on a study about how the mathematics textbook was perceived and used by the teacher in the context of a calculus part of a basic mathematics course for first-year engineering students. The focus was on the teacher's choices and the use of definitions, examples and exercises in a sequence of lectures introducing the derivative…
Rust, Amanda L.
This study attempted to determine which teaching method, mainly manipulatives or the standard curriculum, best allowed the students to learn first grade math concepts. The manipulatives consisted of objects such as unifix cubes, personal chalkboards, work mats, and various other articles, which allowed the students to see the math that they were…
Ekwueme, Cecilia Olunwa; Meremikwu, Anne; Kalu, Nnenna
2013-01-01
The study used a survey design. The instrument was teachers' questionnaire and interview on awareness and readiness. The interview was administered to the different categories of the respondents using a 4-point Likert scale. Two hundred mathematics teachers were randomly selected from 100 schools (public and private) using stratified random…
Bibliography of Research Support for K-8th Grade Inclusive Education
National Center on Schoolwide Inclusive School Reform: The SWIFT Center, 2014
2014-01-01
Presented here are references to books, chapters, and peer-reviewed journal articles that provide evidence for improved student outcomes through inclusive education in elementary and middle schools (K-8th grades). Not included here are the broad evidence bases for each feature in the SWIFT framework.
Culturally Responsive Peace Education: A Case Study at One Urban Latino K-8 Catholic School
Buck, Brandon
2016-01-01
This paper presents a case study of a yearlong research-based peace education program at one urban K-8 private Catholic school situated in a community plagued by structural violence in an enclave of a large Midwestern city. To frame the analysis, the author employs concepts central to culturally responsive pedagogy (including cultural competence,…
Effects of Aspergillus niger (K8) on nutritive value of rice straw ...
African Journals Online (AJOL)
The objective of this study was to evaluate the use of solid state fermentation for the improvement of the quality of rice straw as animal feed. Rice straw was fermented using Aspergillus niger (K8) with and without additional nitrogen source (urea). Cellulose, hemicelluloses, organic matter (OM), dry matter (DM), acid ...
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…
Crystal Structure and Spectroscopic Characterization of K8(VO)2O(SO4)6:
DEFF Research Database (Denmark)
Rasmussen, Søren Birk; Rasmussen, Rikke Christina; Fehrmann, Rasmus
2003-01-01
Red and yellow dichroistic crystals of a vanadium(V) compound, potassium (mu-oxo, di-mu-suifato)bis(oxodisulfato-vanadate), K-8(VO)(2)O(SO4)(6), have been obtained from the ternary catalytic model melt system K2S2O7-K2SO4-V2O5. By slow cooling of the melt from 420 to 355 degreesC, crystal growth...
Predicting the implementation of environmental education in Indiana K--8 schools
Yang, Li-Ling
The purpose of this study was to identify the factors from the literature that influence teachers' implementation of environmental education (EE), and to predict the implementation of EE in the Indiana K--8 Schools by knowledge of these factors. By adapting two earlier instruments, a complete EE assessment instrument was developed, consisting of scales measuring teachers' implementation of EE, their pre-/in-service environmental training, their attitudes toward and competencies in teaching EE, their perceived barriers in teaching EE, and their significant life experiences related to the environment or EE. A questionnaire was sent to 1,200 randomly selected K--8 teachers in public schools throughout Indiana in April 2003, and 385 completed surveys were returned (32.1% return rate). The demographic characteristics of the respondents and the Indiana teacher population were found to be similar. Thus, the results from this study can be generalized to the Indiana teacher population. The construct validity and reliability of each scale were examined after the completion and return of the questionnaires by using factor analysis, item-test correlation analysis, and ANOVA, and also by assessing their alpha indices. It was found that all nine scales were homogeneous, valid, and reliable. Multiple regression analysis was calculated to predict the level of EE implementation in Indiana K--8 schools. Regression analyses indicated that the extent of the teachers' exposure to EE during their pre- and in-service training, the teachers' attitudes toward and competencies in teaching EE, and the barrier "EE not relevant to what I teach" were significant in the full model. This model accounted for 63% of the variance in the teachers' implementation of EE. The teachers' attitudes toward EE had the greatest effect on the teachers' EE implementation when compared to the other significant predictors in the model. The net effects of the extent of the teachers' pre-service and in
Directory of Open Access Journals (Sweden)
Djoko Purnomo
2017-02-01
Full Text Available The specific purpose of this research is: The implementation of the application of the learning tool with a form cognitive learning evaluation model based macros program via E-learning at High School grade X at july-december based on 2013 curriculum. The method used in this research followed the procedures is research and development by Borg and Gall [2]. In second year, population analysis has conducted at several universities in Semarang. The results of the research and application development of macro program-based cognitive evaluation model is effective which can be seen from (1 the student learning result is over KKM, (2 The student independency affects learning result positively, (3 the student learning a result by using macros program-based cognitive evaluation model is better than students class control. Based on the results above, the development of macros program-based cognitive evaluation model that have been tested have met quality standards according to Akker (1999. Large-scale testing includes operational phase of field testing and final product revision, i.e trials in the wider class that includes students in mathematics education major in several universities, they are the Universitas PGRI Semarang, Universitas Islam Sultan Agung and the Universitas Islam NegeriWalisongo Semarang. The positive responses is given by students at the Universitas PGRI Semarang, Universitas Islam Sultan Agung and the Universitas Islam NegeriWalisongo Semarang.
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…
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…
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.
Inquiry-based course in physics and chemistry for preservice K-8 teachers
Directory of Open Access Journals (Sweden)
Michael E. Loverude
2011-05-01
Full Text Available We describe an inquiry-based course in physics and chemistry for preservice K-8 teachers developed at California State University Fullerton. The course is one of three developed primarily to enhance the science content understanding of prospective teachers. The course incorporates a number of innovative instructional strategies and is somewhat unusual for its interdisciplinary focus. We describe the course structure in detail, providing examples of course materials and assessment strategies. Finally, we provide research data illustrating both the need for the course and the effectiveness of the course in developing student understanding of selected topics. Student responses to various questions reflect a lack of understanding of many relatively simple physical science concepts, and a level of performance that is usually lower than that in comparable courses serving a general education audience. Additional data suggest that course activities improve student understanding of selected topics, often dramatically.
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.
Mathematical Modeling: A Structured Process
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…
Philosophical dimensions in mathematics education
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.
Ford, D. J.
2013-12-01
With the release of the Next Generation Science Standards (NRC, 2013), climate change and related environmental sciences will now receive greater emphasis within science curricula at all grade levels. In grades K-8, preparation in foundational content (e.g., weather and climate, natural resources, and human impacts on the environment) and the nature of scientific inquiry will set the groundwork for later learning of climate change in upper middle and high school. These rigorous standards increase pressure on elementary and middle school teachers to possess strong science content knowledge, as well as experience supporting children to develop scientific ideas through the practices of science. It also requires a set of beliefs - about children and the science that is appropriate for them - that is compatible with the goals set out in the standards. Elementary teachers in particular, who often have minimal preparation in the earth sciences (NSF, 2007), and entrenched beliefs about how particular topics ought to be taught (Holt- Reynolds, 1992; Pajares, 1992), including climate change (Bryce & Day, 2013; Lambert & Bleicher, 2013), may face unique challenges in adjusting to the new standards. If teachers hold beliefs about climate change as controversial, for example, they may not consider it an appropriate topic for children, despite its inclusion in the standards. On the other hand, those who see a role for children in efforts to mitigate human impacts on the environment may be more enthusiastic about the new standards. We report on a survey of preservice K-8 teachers' beliefs about the earth and environmental science topics that they consider to be appropriate and inappropriate for children in grades K-3, 4-5, and 6-8. Participants were surveyed on a variety of standards-based topics using terminology that signals publicly and scientifically neutral (e.g. weather, ecosystems) to overtly controversial (evolution, global warming) science. Results from pilot data
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.
Literature-Based Teaching in the Content Areas: 40 Strategies for K-8 Classrooms
Cox, Carole
2011-01-01
Grounded in theory and best-practices research, this practical text provides teachers with 40 strategies for using fiction and non-fiction trade books to teach in five key content areas: language arts and reading, social studies, mathematics, science, and the arts. Each strategy provides everything a teacher needs to get started: a classroom…
Shen, Ji
This case study investigates two consecutive science courses for teachers of K-8 in a professional development program at Washington University. It aims (1) to trace the processes of the teachers' conceptual change; (2) to analyze the teaching strategies by course instructors; and (3) to try to establish possible links between the two. To achieve this goal, I build a modeling theory to account for the observations. The main body of the study consists of four sub-cases. The first two cases instantiate the elements of the modeling theory. The opening case of balance shows that learning tools and task structures shape the learning outcome, and discusses cycles of modeling. The case also delineates the strategy that the instructors employed---moving from concrete experience to abstract explanation. The second case of buoyancy demonstrates that the modeling theory is able to explain the origins and forming mechanism of the alternative conceptions held by the teachers. It also shows that the teaching strategies of using alternative conceptions, applying analogies and following a logical sequence helped the teachers build new models. The last two cases demonstrate the ways of improving the competence of modelers. The third case of physical models emphasizes the metacognition of the learner who builds models. It illustrates that teachers' level of self-awareness in learning is increased when the models are physical. It shows that the creativity of modeling is rooted in agency, curiosity, communicability, and confidence, and that a chain of transformation among models is the key of systematizing and forming knowledge. The last case of frames of reference tries to answer the question "what is the justification of models if there are alternatives?" The teachers employed different forms of justification which relied heavily on common sense, authority, relativism, and pragmatism, all of which are not rational. While discussing both the positive and negative traits of these
The Integrated Early Childhood Curriculum.
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…
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...
Mathematical Models of Elementary Mathematics Learning and Performance. Final Report.
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…
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.
Sadler, Philip M.; Coyle, Harold; Cook Smith, Nancy; Miller, Jaimie; Mintzes, Joel; Tanner, Kimberly; Murray, John
2013-01-01
We report on the development of an item test bank and associated instruments based on the National Research Council (NRC) K-8 life sciences content standards. Utilizing hundreds of studies in the science education research literature on student misconceptions, we constructed 476 unique multiple-choice items that measure the degree to which test…
Shriberg, David; Schumacher, Ruth; McMahon, Kara C.; Flores, Sofia; Moy, Gregory E.; Swidzinski, Joanna; Tompkins, Nicole A.
2012-01-01
This paper describes a study focused on promoting culturally responsive collaboration practices at an urban preK-8 Catholic school. Using participatory action research (PAR) as its framework, a team of school stakeholders and university faculty and students from the psychology department partnered to create a participant-driven data collection and…
Herrera, Socorro G.; Kavimandan, Shabina K.; Perez, Della R.; Wessels, Stephanie
2017-01-01
Research indicates that the culturally responsive teaching strategies outlined in this book accelerate literacy, language development, and academic growth for students in grades K-8, particularly for English language learners. Completely revised and updated, this bestselling resource speaks to the social-emotional needs of learners and helps…
Nelson, Allan
2010-01-01
During laboratory sessions devoted to ecology, 182 preservice K-8 teachers participated in a Project Wildlife in Learning Design (WILD) workshop. Participants rated the workshop highly, indicated they would use more inquiry-based activities, and were more interested in teaching ecology following the workshop. Post-test scores indicated an…
Gill, Clara Joanne Schneberger
2010-01-01
This study attempted to verify points of intersection (POIs) between mathematics and science in the eighth grade Sunshine State Standards (SSS), and to develop a valid and reliable instrument to evaluate these POIs as they were presented in the respective mathematics and science textbooks approved for use in Florida public schools. Shannon and…
Science teachers in deaf education: A national survey of K-8 teachers
Shaw, Cynthia
A survey was conducted with 67 science teachers who taught deaf children at the elementary school level. Teacher background variables, information about teacher preparation and certification, preferred teaching methods, communication methodologies, curriculum, and the use of technology were gathered. A purposeful, convenience sampling technique was employed. Utilizing a non-experimental, basic research design and survey methodology, the researcher reviewed both quantitative and qualitative data. The majority of science teachers in this survey at the elementary school level are female and hearing. More than half have deaf education masters degrees. Few have science degrees. The majority of teachers had less than 10 years teaching experience with deaf students. Sixty percent were highly qualified in science; only forty percent were certified in science. They were equally employed at either a state residential school or a public day school. Two-way chi-square analyses were carried out. Hearing teachers preferred to observe other teachers teaching science compared to deaf teachers chi2 (1, N = 67) = 5.39, p translanguaging than hearing teachers (chi2 (1, N = 67) = 4.54, p < .05). Hearing teachers used the computer more often in the classroom than deaf teachers (chi 2 (1, N = 67) = 4.65, p < .01). Hearing teachers had their students use the computer more regularly than deaf teachers (chi2 (1, N = 67) = 11.49, p < .01). Teachers who worked in residential schools compared to working in public schools attended more state department of education science workshops chi2 (1, N = 67) = 6.83, p < .01, attended national or state science meetings chi2 (1, N = 67) = 7.96, p < .01, were familiar with the Star Schools program chi2 (1, N=67) = 13.23, p < .01, and participated more in Star Schools programs chi 2 (1, N = 67) = 15.96, p < .01. Compared to hearing teachers, the deaf teachers used web-based science materials (chi2 (1, N = 67) = 4.65, p < .01), used codeswitching chi2 (1, N
Stephens, Max; Keqiang, Richard Xu
2014-01-01
In the Western developed world, the language of 21st century competencies, also referred to as 21st century skills or competences, is a powerful means of drawing attention to links between the secondary school curriculum, post-secondary education, and the social and economic imperatives of the developed economies. This paper will analyze different…
The 24-Hour Mathematical Modeling Challenge
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…
Back in Time on a Mathematics Trail
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…
Teaching secondary mathematics
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
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…
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.
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…
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....
Middle-School Mathematics Teachers' Beliefs in NCTM's Vision
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…
Dissect, Design, and Customize the Curriculum
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…
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,…
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 ...
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…
Directory of Open Access Journals (Sweden)
Dov B Ballak
Full Text Available Chronic low-grade inflammation in adipose tissue often accompanies obesity, leading to insulin resistance and increasing the risk for metabolic diseases. MAP3K8 (TPL2/COT is an important signal transductor and activator of pro-inflammatory pathways that has been linked to obesity-induced adipose tissue inflammation. We used human adipose tissue biopsies to study the relationship of MAP3K8 expression with markers of obesity and expression of pro-inflammatory cytokines (IL-1β, IL-6 and IL-8. Moreover, we evaluated obesity-induced adipose tissue inflammation and insulin resistance in mice lacking MAP3K8 and WT mice on a high-fat diet (HFD for 16 weeks. Individuals with a BMI >30 displayed a higher mRNA expression of MAP3K8 in adipose tissue compared to individuals with a normal BMI. Additionally, high mRNA expression levels of IL-1β, IL-6 and IL-8, but not TNF -α, in human adipose tissue were associated with higher expression of MAP3K8. Moreover, high plasma SAA and CRP did not associate with increased MAP3K8 expression in adipose tissue. Similarly, no association was found for MAP3K8 expression with plasma insulin or glucose levels. Mice lacking MAP3K8 had similar bodyweight gain as WT mice, yet displayed lower mRNA expression levels of IL-1β, IL-6 and CXCL1 in adipose tissue in response to the HFD as compared to WT animals. However, MAP3K8 deficient mice were not protected against HFD-induced adipose tissue macrophage infiltration or the development of insulin resistance. Together, the data in both human and mouse show that MAP3K8 is involved in local adipose tissue inflammation, specifically for IL-1β and its responsive cytokines IL-6 and IL-8, but does not seem to have systemic effects on insulin resistance.
Problematising Mathematics Education
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…
From Curriculum to Workplace Requirements: Do They "Match"?
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,…
Connecting mathematics learning through spatial reasoning
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.
Succeeding at teaching secondary mathematics your first year
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.
Ethnomusicology, Ethnomathematics, and Integrating Curriculum
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…
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…
The Language of Mathematics in Science
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…
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 ...
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.
Neal, Larry L.
This workshop presentation on international curriculums in the field of parks, recreation, leisure, cultural services, and travel/tourism comments that the literature is replete with articles addressing what the field is about, but not about curriculum issues, models, and structure. It reports an international survey of 12 college educators…
National Center for Mathematics and Science - who we are
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
Cultural horizons for mathematics
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.
Directory of Open Access Journals (Sweden)
Orhan Çiftci
2015-08-01
Full Text Available The purpose of this study is to explore the opinions of mathematics teachers working in high schools on the high school mathematics curriculum that was reformed in 2013. Structured interview method was employed to collect data from nine high school teachers. Content and descriptive analysis were used to analyze the data obtained from the interviews with teachers. Based on the qualitative analysis of data, the teachers favored the reduction in the content and acquisition regulation, but criticized some eliminated content and acceptance the level of readiness of students. The teachers believed the benefit of using compass-straightedge, information and communication technologies. Furthermore, the teachers expected more professional development opportunities, particularly on the use of technology for teaching mathematics before they are hold accountable for the implementation of the new curriculum. [Bu çalışmada, ortaöğretim kurumlarında görev yapan matematik öğretmenlerinin 2013 yılında yayınlanan ortaöğretim matematik dersi öğretim programı hakkındaki görüşlerini ortaya çıkarmak amaçlanmıştır. Veriler dokuz lise matematik öğretmeni ile gerçekleştirilen yapılandırılmış görüşmeler ile elde edilmiştir. Öğretmenlerle yapılan görüşmeler sonucunda elde edilen verilerin analizi için içerik ve betimsel analizi kullanılmıştır. Çalışmadan elde edilen verilerin analizi sonucunda, öğretmenler yeni programı, konuların yoğunluğunun azaltılması ve kazanımların düzenlenmesi gibi konularda olumlu bulmuş; bazı konuların çıkartılması ve öğrencilerin hazır bulunuşluk düzeylerinin kabulü konusunda eleştirmişlerdir. Öğretmenler, bilgi ve iletişim teknolojilerini ve pergel-cetveli kullanmanın faydalı olacağını belirtmişlerdir. Ayrıca, bilgi ve iletişim teknolojilerini kullanma konusunda desteklenmelerini ve programın öğretmenlere ayrıntılı olarak tanıtılmasını önermişlerdir.
Sadler, Philip M; Coyle, Harold; Smith, Nancy Cook; Miller, Jaimie; Mintzes, Joel; Tanner, Kimberly; Murray, John
2013-01-01
We report on the development of an item test bank and associated instruments based on the National Research Council (NRC) K-8 life sciences content standards. Utilizing hundreds of studies in the science education research literature on student misconceptions, we constructed 476 unique multiple-choice items that measure the degree to which test takers hold either a misconception or an accepted scientific view. Tested nationally with 30,594 students, following their study of life science, and their 353 teachers, these items reveal a range of interesting results, particularly student difficulties in mastering the NRC standards. Teachers also answered test items and demonstrated a high level of subject matter knowledge reflecting the standards of the grade level at which they teach, but exhibiting few misconceptions of their own. In addition, teachers predicted the difficulty of each item for their students and which of the wrong answers would be the most popular. Teachers were found to generally overestimate their own students' performance and to have a high level of awareness of the particular misconceptions that their students hold on the K-4 standards, but a low level of awareness of misconceptions related to the 5-8 standards.
Good Questions: Great Ways to Differentiate Mathematics Instruction. Second Edition
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…
Artificial Intelligence, Computational Thinking, and Mathematics Education
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
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…
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 potential of special education students
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...
E-learning materials in mathematics education
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...
Learning to Teach Mathematics Specialists in a Synchronous Online Course: A Self-Study
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…
International Nuclear Information System (INIS)
Liu, Y.; Li, T.; Yang, C.
2015-01-01
The activity of bc1 complex kinase (ABC1K) protein family, which widely exists in prokaryotes and eukaryotes, consists of 15 members in rice, and the role of this family in plants has not yet been studied in details. In this study, a novel function of OsABC1K8 (LOC-Os06g48770), a member of rice ABC1K family, was characterized. The transcript level of OsABC1K8 changes in response to salt, dehydration, cold, PEG, oxidative (H/sub 2/O/sub 2/) stresses, or abscisic acid (ABA) treatment. Overexpression of OsABC1K8 significantly increased sensitivity to dehydration and reduced sensitivity to ABA. In the contrast, RNAi transgenic lines displayed significantly reduced sensitivity to dehydration stress and increased sensitivity to ABA. Furthermore, the transcriptional levels of several ABA/stress-regulated responsive genes were suppressed in OsABC1K8 over-expressing plants under dehydration stress. In conclusion, our results suggested that OsABC1K8 is a negative regulator in response to dehydration stress through an ABA-dependent pathway. (author)
Under-Threes' Mathematical Learning--Teachers' Perspectives
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…
Assessing the Potential of Mathematics Textbooks to Promote Deep Learning
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…
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 analysis fundamentals
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
Insights into teaching mathematics
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
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…
Making the Learning of Mathematics More Meaningful
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.
Roberts-Harris, Deborah
2014-01-01
This study investigated newly qualified K-8 teachers' visions of science learning and teaching after they had completed preparation in a science teaching methods course I taught. What visions of science learning and teaching were these newly qualified teachers taking away from my course? How did these visions compare with those advocated by reform…
Gangi, Jane M.
2009-01-01
This article presents an annotated bibliography of children's literature resources on war, terrorism, and disaster since 1945. This annotated bibliography focuses on grades K-8 from different continents/countries, including (1) Africa; (2) Asia; (3) The Caribbean; (4) Central and South America; (5) Europe; and (6) The Middle East.
Ballak, D.B.; Essen, P. van; Diepen, J.A. van; Jansen, H.J.; Hijmans, A.G.; Matsuguchi, T.; Sparrer, H.; Tack, C.J.J.; Netea, M.G.; Joosten, L.A.B.; Stienstra, R.
2014-01-01
Chronic low-grade inflammation in adipose tissue often accompanies obesity, leading to insulin resistance and increasing the risk for metabolic diseases. MAP3K8 (TPL2/COT) is an important signal transductor and activator of pro-inflammatory pathways that has been linked to obesity-induced adipose
Directory of Open Access Journals (Sweden)
Wei Zhang
2016-07-01
Full Text Available For a further understanding of the phase transitions mechanism in type-I silicon clathrates K8Si46, ab initio self-consistent electronic calculations combined with linear-response method have been performed to investigate the vibrational properties of alkali metal K atoms encapsulated type-I silicon-clathrate under pressure within the framework of density functional perturbation theory. Our lattice dynamics simulation results showed that the pressure induced phase transition of K8Si46 was believed to be driven by the phonon instability of the calthrate lattice. Analysis of the evolution of the partial phonon density of state with pressure, a legible dynamic picture for both guest K atoms and host lattice, was given. In addition, based on phonon calculations and combined with quasi-harmonic approximation, the specific heat of K8Si46 was derived, which agreed very well with experimental results. Also, other important thermal properties including the thermal expansion coefficients and Grüneisen parameters of K8Si46 under different temperature and pressure were also predicted.
Alaska State Dept. of Education, Juneau. Div. of Adult and Vocational Education.
This competency-based curriculum guide is a handbook for the development of welding trade programs. Based on a survey of Alaskan welding employers, it includes all competencies a student should acquire in such a welding program. The handbook stresses the importance of understanding the principles associated with the various elements of welding.…
Scientific Skills and Processes in Curriculum Resources
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.
Luther, Kenneth H.
2012-01-01
Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly "applied" mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This…
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 ...
The Development of the Mathematical Mind.
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…
A Note on Discrete Mathematics and Calculus.
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)
Making Mathematics Relevant for Students in Bali
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…
Governing Equality: Mathematics for All?
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…
Evaluation of a mathematics curriculum: Differential effects
Terwel, J.; Van den Eeden, P.
1994-01-01
In this article the overarching research question concerned the influence of class level variables e.g. class composition on the learning gains of students. The data for this study were collected at three secondary schools, with a total of 482 pupils, 12 teachers and 22 classes. A ‘realistic
Mathematical omnibus thirty lectures on classic mathematics
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.
African Journals Online (AJOL)
MATHEMATICS CONNECTION aims at providing a forum topromote the development of Mathematics Education in Ghana. Articles that seekto enhance the teaching and/or learning of mathematics at all levels of theeducational system are welcome.
Surviving the Implementation of a New Science Curriculum
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…
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,…
Structuring an Undergraduate Mathematics Seminar Dealing with Options and Hedging
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…
Galleons, Magic Potions, and Quidditch: The Mathematics of Harry Potter
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.
Assessment of Primary 5 Students' Mathematical Modelling Competencies
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…
Core-Plus Mathematics. What Works Clearinghouse Intervention Report
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,…
The Vector Space as a Unifying Concept in School Mathematics.
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.…
Modelling as a foundation for academic forming in mathematics education
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
Mathematical Footprints Discovering Mathematics Everywhere
Pappas, Theoni
1999-01-01
MATHEMATICAL FOOTPRINTS takes a creative look at the role mathematics has played since prehistoric times, and will play in the future, and uncovers mathematics where you least expect to find it from its many uses in medicine, the sciences, and its appearance in art to its patterns in nature and its central role in the development of computers. Pappas presents mathematical ideas in a readable non-threatening manner. MATHEMATICAL FOOTPRINTS is another gem by the creator of THE MATHEMATICS CALENDAR and author of THE JOY OF MATHEMATICS. "Pappas's books have been gold mines of mathematical ent
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…
[Mathematics - astronomy - astrology special library].
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
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.
Kansas Nursing Home Medication Aide Curriculum. Revised.
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…
Box Plots in the Australian Curriculum
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…
Mathematization in introductory physics
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
Envisioning Curriculum as Six Simultaneities
Hussain, Hanin; Conner, Lindsey; Mayo, Elaine
2014-01-01
This paper uses the discourse of complexity thinking to envision curriculum as six partial and coupled facets that exist simultaneously: curriculum as structure, curriculum as process, curriculum as content, curriculum as teaching, curriculum as learning and curriculum as activity. Such a curriculum is emergent and self-organising. It is emergent…
Third international handbook of mathematics education
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 ...
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…
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".…
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.
Bugs, Planes, and Ferris Wheels: A Problem-Centered Curriculum
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.
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...
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.
Andreescu, Titu; Tetiva, Marian
2017-01-01
Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. Blending old and new techniques, tactics and strategies used in solving challenging mathematical problems, readers will discover numerous genuine mathematical gems throughout that will heighten their appreciation of the inherent beauty of mathematics. Most of the problems are original to the authors and are intertwined in a well-motivated exposition driven by representative examples. The book is structured to assist the reader in formulating and proving conjectures, as well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics. Instructors and educators teaching problem-solving courses or organizing mathematics clubs, as well as motivated mathematics students from high school juniors to college seniors, will find Mathematical Bri...
Pre-Service Teachers' Beliefs about Knowledge, Mathematics, and Science
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…
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:
Pursuing excellence in mathematics education essays in honor of Jeremy Kilpatrick
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..
Chicago Board of Education, IL.
A contrastive analysis approach is used in this supplementary math curriculum guide for Spanish-speaking second and third grade students in Chicago public schools. Lessons are presented for those objectives for which the instructional strategies used in the United States differ from those used in Spanish-speaking countries. (Objectives for which…
Chicago Board of Education, IL.
This supplementary math curriculum guide for use with Spanish-speaking, fouth through sixth grade students in Chicago public schools employs a contrastive analysis approach. Lessons are presented for objectives for which the instructional strategies used in the United States differ from those used in Spanish-speaking countries. (Objectives for…
Chicago Board of Education, IL.
This supplementary math curriculum guide for use with Spanish-speaking students in Chicago public schools' seventh and eighth grade classes employs a contrastive analysis approach. Lessons are presented for objectives for which the instructional strategies used in the United States differ from those in Spanish-speaking countries. (Objectives for…
The Effect of Teacher Beliefs on Student Competence in Mathematical Modeling--An Intervention Study
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…
Report from the Netherlands: The Dutch Revolution in Secondary School Mathematics
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.
Elective Drama Course in Mathematics Education: An Assessment of Pre-Service Teachers
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…
... this page: //medlineplus.gov/ency/article/001534.htm Mathematics disorder To use the sharing features on this page, please enable JavaScript. Mathematics disorder is a condition in which a child's ...
Critical relationships between teachers and learners of school mathematics
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...
Trinajstić, Nenad; Gutman, Ivan
2002-01-01
A brief description is given of the historical development of mathematics and chemistry. A path leading to the meeting of these two sciences is described. An attempt is made to define mathematical chemistry, and journals containing the term mathematical chemistry in their titles are noted. In conclusion, the statement is made that although chemistry is an experimental science aimed at preparing new compounds and materials, mathematics is very useful in chemistry, among other things, to produc...
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.
Kilpatrick, Jeremy
2014-01-01
This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…
National Oceanic and Atmospheric Administration, Department of Commerce — METAR is a routine scheduled observation and is the primary observation code used in the United States to satisfy requirements for reporting surface meteorological...
Engineering the curriculum: Towards an adaptive curriculum
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
The Gap between Expectations and Reality: Integrating Computers into Mathematics Classrooms
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'…
Educational Development and Developmental Research in Mathematics Education
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
Mathematical Rigor in Introductory Physics
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.
DEFF Research Database (Denmark)
Blomhøj, Morten
2004-01-01
Developing competences for setting up, analysing and criticising mathematical models are normally seen as relevant only from and above upper secondary level. The general belief among teachers is that modelling activities presuppose conceptual understanding of the mathematics involved. Mathematical...... roots for the construction of important mathematical concepts. In addition competences for setting up, analysing and criticising modelling processes and the possible use of models is a formative aim in this own right for mathematics teaching in general education. The paper presents a theoretical...... modelling, however, can be seen as a practice of teaching that place the relation between real life and mathematics into the centre of teaching and learning mathematics, and this is relevant at all levels. Modelling activities may motivate the learning process and help the learner to establish cognitive...
DEFF Research Database (Denmark)
Sørensen, John Aasted
2011-01-01
The objectives of Discrete Mathematics (IDISM2) are: The introduction of the mathematics needed for analysis, design and verification of discrete systems, including the application within programming languages for computer systems. Having passed the IDISM2 course, the student will be able...... to accomplish the following: -Understand and apply formal representations in discrete mathematics. -Understand and apply formal representations in problems within discrete mathematics. -Understand methods for solving problems in discrete mathematics. -Apply methods for solving problems in discrete mathematics......; construct a finite state machine for a given application. Apply these concepts to new problems. The teaching in Discrete Mathematics is a combination of sessions with lectures and students solving problems, either manually or by using Matlab. Furthermore a selection of projects must be solved and handed...
Mathematical Modeling and Pure Mathematics
Usiskin, Zalman
2015-01-01
Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…
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
Madsen, J.; Allen, D.; Donham, R.; Fifield, S.; Ford, D.; Shipman, H.; Dagher, Z.
2007-12-01
University of Delaware faculty in the geological sciences, biological sciences, and the physics and astronomy departments have partnered with faculty and researchers from the school of education to form a continuum for K- 8 pre-service teacher preparation in science. The goal of the continuum is to develop integrated understandings of content and pedagogy so that these future teachers can effectively use inquiry-based approaches in teaching science in their classrooms. Throughout the continuum where earth science content appears an earth system science approach, with emphasis on inquiry-based activities, is employed. The continuum for K-8 pre-service teachers includes a gateway content course in the earth, life, or physical sciences taken during the freshman year followed by integrated science content and methods courses taken during the sophomore year. These integrated courses, called the Science Semester, were designed and implemented with funding from the National Science Foundation. During the Science Semester, traditional content and pedagogy subject matter boundaries are crossed to stress shared themes that teachers must understand to teach standards-based science. Students work collaboratively on multidisciplinary problem-based learning (PBL) activities that place science concepts in authentic contexts and build learning skills. They also critically explore the theory and practice of elementary science teaching, drawing on their shared experiences of inquiry learning during the Science Semester. The PBL activities that are the hallmark of the Science Semester provide the backdrop through which fundamental earth system interactions can be studied. For example in a PBL investigation that focuses on kids, cancer, and the environment, the hydrologic cycle with emphasis on surface runoff and ground water contamination is studied. Those students seeking secondary certification in science will enroll, as a bridge toward their student teaching experience, in an
Surviving the Implementation of a New Science Curriculum
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.
Stöltzner, Michael
Answering to the double-faced influence of string theory on mathematical practice and rigour, the mathematical physicists Arthur Jaffe and Frank Quinn have contemplated the idea that there exists a `theoretical' mathematics (alongside `theoretical' physics) whose basic structures and results still require independent corroboration by mathematical proof. In this paper, I shall take the Jaffe-Quinn debate mainly as a problem of mathematical ontology and analyse it against the backdrop of two philosophical views that are appreciative towards informal mathematical development and conjectural results: Lakatos's methodology of proofs and refutations and John von Neumann's opportunistic reading of Hilbert's axiomatic method. The comparison of both approaches shows that mitigating Lakatos's falsificationism makes his insights about mathematical quasi-ontology more relevant to 20th century mathematics in which new structures are introduced by axiomatisation and not necessarily motivated by informal ancestors. The final section discusses the consequences of string theorists' claim to finality for the theory's mathematical make-up. I argue that ontological reductionism as advocated by particle physicists and the quest for mathematically deeper axioms do not necessarily lead to identical results.
Directory of Open Access Journals (Sweden)
Flavia Rezende
2004-01-01
Full Text Available O contexto deste estudo é o desenvolvimento de um ambiente virtual construtivista para a formação continuada de professores de Física e de Matemática do nível médio, cujo objetivo é promover o desenvolvimento do conhecimento profissional do professor a partir da reflexão sobre problemas autênticos da sua prática. No presente estudo, buscou-se a autenticidade dos problemas no discurso de uma amostra de professores de escolas públicas do município do Rio de Janeiro e do interior do Estado. A análise de conteúdo permitiu a classificação do discurso dos professores em três categorias: Condições Estruturais da escola pública, Currículo e Ensino-Aprendizagem. A partir da análise de avaliação dos temas que compõe as categorias Currículo e Ensino-Aprendizagem, foi identificada uma série de problemas comuns a professores de Física e de Matemática da escola pública. Os problemas curriculares estão marcados pelas políticas educacionais atuais e os de ensino-aprendizagem dizem respeito tanto a aspectos teóricos quanto a práticos do trabalho dos professores além de exprimirem queixas em relação às deficiências de vários tipos do aluno da escola pública.A virtual constructivist learning environment is being developed for in-service education of Physics and Mathematics teachers. Its instructional design is based on Problem Based Learning with the main goal of promoting reflection about authentic professional problems. The present study looked for the authenticity of the problems in the discourse of a group of teachers who work in public schools of the capital of Rio de Janeiro State and other towns of the north of the State. The content analysis of their discourse allowed its classification into three categories: Structural Conditions of the Public School, Curriculum, and Teaching. The evaluation analysis of the themes that compose the categories of Curriculum and Teaching led to the identification of similar problems
The same teacher, the same curriculum materials, different schools: What is the enacted curriculum?
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
Liu, Ying; Li, Yueqin; Zhang, Di; Liu, Jiali; Gou, Kemian; Cui, Sheng
2015-05-01
The corpus luteum (CL) is a transient endocrine gland developed from the ovulated follicles, and the most important function is to synthesize and secrete progesterone (P(4)), a key hormone to maintain normal pregnancy and estrous cycle in most mammals. It is known that estrogen has a vital role in stimulating P(4) synthesis in CL, but it still remains unclear about the mechanism of estradiol (E(2)) regulating P(4) production in CL. Our results here first show that all of the CL cells express MAPK 8 (MAP3K8), and the MAP3K8 level is much higher at the midstage than at the early and late stages during CL development. The further functional studies show that the forced inhibition of endogenous MAP3K8 by using MAP3K8 small interfering RNA and MAP3K8 signaling inhibitor (MAP3K8i) in the luteal cells significantly block the P(4) synthesis and neutralize the enhancing effect of E(2) on P(4) production in the CL. In addition, our results here demonstrate that the stimulating effect of E(2) on P(4) synthesis relies on the estrogen no-classical protein-coupled receptor 30, and MAP3K8 is involved in mediating the protein-coupled receptor 30signaling of E(2) affecting P(4) synthesis via stimulating ERK phosphorylation. These novel findings are critical for our understanding the ovary physiology and pathological mechanism.
Aigner, Martin; Spain, Philip G
2010-01-01
Mathematics is all around us. Often we do not realize it, though. Mathematics Everywhere is a collection of presentations on the role of mathematics in everyday life, through science, technology, and culture. The common theme is the unique position of mathematics as the art of pure thought and at the same time as a universally applicable science. The authors are renowned mathematicians; their presentations cover a wide range of topics. From compact discs to the stock exchange, from computer tomography to traffic routing, from electronic money to climate change, they make the "math inside" unde
Jothi, A Lenin
2009-01-01
Financial services, particularly banking and insurance services is the prominent sector for the development of a nation. After the liberalisation of financial sector in India, the scope of getting career opportunities has been widened. It is heartening to note that various universities in India have introduced professional courses on banking and insurance. A new field of applied mathematics has come into prominence under the name of Financial Mathematics. Financial mathematics has attained much importance in the recent years because of the role played by mathematical concepts in decision - m
Pappas, Theoni
1997-01-01
In this highly readable volume of vignettes of mathematical scandals and gossip, Theoni Pappas assembles 29 fascinating stories of intrigue and the bizarre ? in short, the human background of the history of mathematics. Might a haberdasher have changed Einstein's life? Why was the first woman mathematician murdered? How come there's no Nobel Prize in mathematics?Mathematics is principally about numbers, equations, and solutions, all of them precise and timeless. But, behind this arcane matter lies the sometimes sordid world of real people, whose rivalries and deceptions
Stroud, K A
2013-01-01
A groundbreaking and comprehensive reference that's been a bestseller since it first debuted in 1970, the new seventh edition of Engineering Mathematics has been thoroughly revised and expanded. Providing a broad mathematical survey, this innovative volume covers a full range of topics from the very basic to the advanced. Whether you're an engineer looking for a useful on-the-job reference or want to improve your mathematical skills, or you are a student who needs an in-depth self-study guide, Engineering Mathematics is sure to come in handy time and time again.
The discursive production of classroom mathematics
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.
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.
[Chicano Counselor Training: Curriculum and Beyond Curriculum].
Aleman, Ramon
The particulars of the evolved curriculum and how the training has evolved around the change-agent concept are stressed in this presentation. The measure of success achieved in attempting to influence the staff and course of studies of the regular guidance department is also emphasized. The curriculum of this counselor training institute has, from…
Sociology of Hidden Curriculum
Directory of Open Access Journals (Sweden)
Alireza Moradi
2017-06-01
Full Text Available This paper reviews the concept of hidden curriculum in the sociological theories and wants to explain sociological aspects of formation of hidden curriculum. The main question concentrates on the theoretical approaches in which hidden curriculum is explained sociologically.For this purpose it was applied qualitative research methodology. The relevant data include various sociological concepts and theories of hidden curriculum collected by the documentary method. The study showed a set of rules, procedures, relationships and social structure of education have decisive role in the formation of hidden curriculum. A hidden curriculum reinforces by existed inequalities among learners (based on their social classes or statues. There is, in fact, a balance between the learner's "knowledge receptions" with their "inequality proportion".The hidden curriculum studies from different major sociological theories such as Functionalism, Marxism and critical theory, Symbolic internationalism and Feminism. According to the functionalist perspective a hidden curriculum has a social function because it transmits social values. Marxists and critical thinkers correlate between hidden curriculum and the totality of social structure. They depicts that curriculum prepares learners for the exploitation in the work markets. Symbolic internationalism rejects absolute hegemony of hidden curriculum on education and looks to the socialization as a result of interaction between learner and instructor. Feminism theory also considers hidden curriculum as a vehicle which legitimates gender stereotypes.
Curriculum Development in Geomorphology.
Gregory, Kenneth J.
1988-01-01
Examines the context of present curriculum development in geomorphology and the way in which it has developed in recent years. Discusses the content of the geomorphology curriculum in higher education and the consequences of curriculum development together with a consideration of future trends and their implications. (GEA)
Developing Understanding of Mathematical Modeling in Secondary Teacher Preparation
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…
Practice and Conceptions: Communicating Mathematics in the Workplace
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 Education: Student Terminal Goals, Program Goals, and Behavioral Objectives.
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)
Mathematical Communication in State Standards before the Common Core
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…
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 ...
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) ...
Teachers and Textbooks: On Statistical Definitions in Senior Secondary Mathematics
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…
Teaching Primary School Mathematics and Statistics: Evidence-Based Practice
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,…
Mathematics in Student-Centred Inquiry Learning: Student Engagement
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…
"Lettuce" Learn Math: Teaching Mathematics with Seeds and Centimeters
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…
Distributed Leadership: Key to Improving Primary Students' Mathematical Knowledge
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…
A Qualitative Study on Primary School Mathematics Lesson Evaluation
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…
Kleene, Stephen Cole
1967-01-01
Undergraduate students with no prior instruction in mathematical logic will benefit from this multi-part text. Part I offers an elementary but thorough overview of mathematical logic of 1st order. Part II introduces some of the newer ideas and the more profound results of logical research in the 20th century. 1967 edition.
Huckstep, Peter
2002-01-01
Contends teachers must resist the temptation to suggest that, while children can create stories and melodies, they cannot create mathematics. Quotes mathematician G. H. Hardy: "A mathematician, like a painter or poet, is a 'maker' of patterns." Considers mathematics should be able to stand up for itself. (BT)
Batchelder, William H
2010-09-01
Mathematical psychology is a sub-field of psychology that started in the 1950s and has continued to grow as an important contributor to formal psychological theory, especially in the cognitive areas of psychology such as learning, memory, classification, choice response time, decision making, attention, and problem solving. In addition, there are several scientific sub-areas that were originated by mathematical psychologists such as the foundations of measurement, stochastic memory models, and psychologically motivated reformulations of expected utility theory. Mathematical psychology does not include all uses of mathematics and statistics in psychology, and indeed there is a long history of such uses especially in the areas of perception and psychometrics. What is most unique about mathematical psychology is its approach to theory construction. While accepting the behaviorist dictum that the data in psychology must be observable and replicable, mathematical models are specified in terms of unobservable formal constructs that can predict detailed aspects of data across multiple experimental and natural settings. By now almost all the substantive areas of cognitive and experimental psychology have formal mathematical models and theories, and many of these are due to researchers that identify with mathematical psychology. Copyright © 2010 John Wiley & Sons, Ltd. For further resources related to this article, please visit the WIREs website. Copyright © 2010 John Wiley & Sons, Ltd.
Kodaira, Kunihiko
1996-01-01
This is the translation from the Japanese textbook for the grade 11 course, "General Mathematics". It is part of the easier of the three elective courses in mathematics offered at this level and is taken by about 40% of students. The book covers basic notions of probability and statistics, vectors, exponential, logarithmic, and trigonometric functions, and an introduction to differentiation and integration.
DEFF Research Database (Denmark)
Sørensen, John Aasted
2011-01-01
; construct a finite state machine for a given application. Apply these concepts to new problems. The teaching in Discrete Mathematics is a combination of sessions with lectures and students solving problems, either manually or by using Matlab. Furthermore a selection of projects must be solved and handed...... to accomplish the following: -Understand and apply formal representations in discrete mathematics. -Understand and apply formal representations in problems within discrete mathematics. -Understand methods for solving problems in discrete mathematics. -Apply methods for solving problems in discrete mathematics...... to new problems. Relations and functions: Define a product set; define and apply equivalence relations; construct and apply functions. Apply these concepts to new problems. Natural numbers and induction: Define the natural numbers; apply the principle of induction to verify a selection of properties...
Murray, James D
1993-01-01
The book is a textbook (with many exercises) giving an in-depth account of the practical use of mathematical modelling in the biomedical sciences. The mathematical level required is generally not high and the emphasis is on what is required to solve the real biological problem. The subject matter is drawn, e.g. from population biology, reaction kinetics, biological oscillators and switches, Belousov-Zhabotinskii reaction, reaction-diffusion theory, biological wave phenomena, central pattern generators, neural models, spread of epidemics, mechanochemical theory of biological pattern formation and importance in evolution. Most of the models are based on real biological problems and the predictions and explanations offered as a direct result of mathematical analysis of the models are important aspects of the book. The aim is to provide a thorough training in practical mathematical biology and to show how exciting and novel mathematical challenges arise from a genuine interdisciplinary involvement with the biosci...
Parshall, Karen Hunger
2002-01-01
Although today's mathematical research community takes its international character very much for granted, this "global nature" is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom the goal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and national rivalries. Until now, this evolution has been largely overlooked by historians and mathematicians alike. This book addresses the issue by bringing together essays by twenty experts in the history of mathematics who have investigated the genesis of today's international mathematical community. This includes not only develo...
Mathematics education and the information society
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
Key Concept Mathematics and Management Science Models
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)
Mathematical knowledge for teaching in the 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
Accelerating Mathematics Achievement Using Heterogeneous Grouping
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…
African mathematics from bones to computers
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.
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…
Directory of Open Access Journals (Sweden)
Sead Rešić
2015-09-01
Full Text Available It is very difficult to motivate students when it comes to a school subject like Mathematics. Teachers spend a lot of time trying to find something that will arouse interest in students. It is particularly difficult to find materials that are motivating enough for students that they eagerly wait for the next lesson. One of the solutions may be found in Vedic Mathematics. Traditional methods of teaching Mathematics create fear of this otherwise interesting subject in the majority of students. Fear increases failure. Often the traditional, conventional mathematical methods consist of very long lessons which are difficult to understand. Vedic Mathematics is an ancient system that is very flexible and encourages the development of intuition and innovation. It is a mental calculating tool that does not require a calculator because the calculator is embedded in each of us. Starting from the above problems of fear and failure in Mathematics, the goal of this paper is to do research with the control and the experimental group and to compare the test results. Two tests should be done for each of the groups. The control group would do the tests in the conventional way. The experimental group would do the first test in a conventional manner and then be subjected to different treatment, that is to say, be taught on the basis of Vedic Mathematics. After that, the second group would do the second test according to the principles of Vedic Mathematics. Expectations are that after short lectures on Vedic mathematics results of the experimental group would improve and that students will show greater interest in Mathematics.
Curriculum optimization of College of Optical Science and Engineering
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.
Thermal stability of polyoxometalate compound of Keggin K8[2-SiW11O39]∙nH2O supported with SiO2
Directory of Open Access Journals (Sweden)
Yunita Sari M A
2017-06-01
Full Text Available Synthesis through sol-gel method and characterization of polyoxometalate compound of K8[b2-SiW11O39]∙nH2O supported with SiO2 have been done. The functional groups of polyoxometalate compound was characterized by FT-IR spectrophotometer for the fungtional groups and the degree’s of crystalinity using XRD. The acidity of K8[b2-SiW11O39]∙nH2O/SiO2 was determined qualitative analysis using ammonia and pyridine adsorption and the quantitative analysis using potentiometric titration method. The results of FT-IR spectrum of K8[b2-SiW11O39]∙nH2O appeared at wavenumber 987.55 cm-1 (W=O, 864.11 cm-1 (W-Oe-W, 756.1 cm-1 (W-Oc-W, 3425.58 cm-1 (O-H, respectively and spectrum of K8[b2-SiW11O39]SiO2 appeared at wavenumber 956.69 cm-1 (W=O, 864.11 cm-1 (W-Oe-W, 3448.72 cm-1 (O-H, respectively. The diffraction of XRD pattern of K8[b2-SiW11O39]∙nH2O and K8[b2-SiW11O39]∙nH2O/SiO2 compounds show high crystalinity. The acidic properties showed K8[b2-SiW11O39]∙nH2O/SiO2 more acidic compared to K8[b2-The SiW11O39]∙nH2O. The qualitative analysis showed pyridine compound adsorbed more of polyoxometalate compound of K8[b2-SiW11O39]∙nH2O/SiO2. Analysis of stability showed that the K8[b2-SiW11O39]∙nH2O/SiO2 at temperature 500°C has structural changes compare to 200-400oC which was indicated from vibration at wavenumber 800-1000 cm-1. Keywords : K8[b2-SiW11O39]∙nH2O, polyoxometalate, SiO2.
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.
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
Bird, John
2014-01-01
A practical introduction to the core mathematics required for engineering study and practiceNow in its seventh edition, Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams.John Bird's approach is based on worked examples and interactive problems. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure
Geroch, Robert
1985-01-01
Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the ""whys"" of proofs and of axioms and definitions. This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle
Logan, J David
2013-01-01
Praise for the Third Edition"Future mathematicians, scientists, and engineers should find the book to be an excellent introductory text for coursework or self-study as well as worth its shelf space for reference." -MAA Reviews Applied Mathematics, Fourth Edition is a thoroughly updated and revised edition on the applications of modeling and analyzing natural, social, and technological processes. The book covers a wide range of key topics in mathematical methods and modeling and highlights the connections between mathematics and the applied and nat
Handley, Bill
2012-01-01
This new, revised edition of the bestselling Speed Mathematics features new chapters on memorising numbers and general information, calculating statistics and compound interest, square roots, logarithms and easy trig calculations. Written so anyone can understand, this book teaches simple strategies that will enable readers to make lightning-quick calculations. People who excel at mathematics use better strategies than the rest of us; they are not necessarily more intelligent. With Speed Mathematics you'll discover methods to make maths easy and fun. This book is perfect for stud
Science, Engineering, and Mathematics (SEM) at the Timbuktu Academy
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
Students' perceptions of the relevance of mathematics in engineering
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.
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.
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…
Differentiated Instruction in a Calculus Curriculum for College Students in Taiwan
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…
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
Mathematics education, democracy and development: Exploring connections
Directory of Open Access Journals (Sweden)
Renuka Vithal
2012-12-01
Full Text Available Mathematics education and its links to democracy and development are explored in this article, with specific reference to the case of South Africa. This is done by engaging four key questions. Firstly, the question of whether mathematics education can be a preparation for democracy and include a concern for development, is discussed by drawing on conceptual tools of critical mathematics education and allied areas in a development context. Secondly, the question of how mathematics education is distributed in society and participates in shaping educational possibilities in addressing its development needs and goals is used to examine the issues emerging from mathematics performance in international studies and the national Grade 12 examination; the latter is explored specifically in respect of the South African mathematics curriculum reforms and teacher education challenges. Thirdly, the question of whether a mathematics classroom can be a space for democratic living and learning that equally recognises the importance of issues of development in contexts like South Africa, as a post-conflict society still healing from its apartheid wounds, continuing inequality and poverty, is explored through pedagogies of conflict, dialogue and forgiveness. Finally the question of whether democracy and development can have anything to do with mathematics content matters, is discussed by appropriating, as a metaphor, South Africa’s Truth and Reconciliation Commission’s framework of multiple ‘truths’, to seek links within and across the various forms and movements in mathematics and mathematics education that have emerged in the past few decades.
The Impact of Hands-On-Approach on Student Academic Performance in Basic Science and Mathematics
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…
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…
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…
Attitudes of Pre-Service Mathematics Teachers towards Modelling: A South African Inquiry
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…
Principles to Actions: Mathematics Programs as the Core for Student Learning
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…
Science Modelling in Pre-Calculus: How to Make Mathematics Problems Contextually Meaningful
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…
Primary Teachers Notice the Impact of Language on Children's Mathematical Reasoning
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…
Response to Key Issues Raised in the Post-14 Mathematics Inquiry
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…
Mathematics-Related Anxiety and Attitudes: Examining the Impact among Latina Preservice Teachers
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…
The academic merits of modelling in higher mathematics education: A case study
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
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
Teachers' Views of the Challenges of Teaching Grade 9 Applied Mathematics in Toronto Schools
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…
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.
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…
Virdi, Surinder; Virdi, Narinder Kaur
2014-01-01
Construction Mathematics is an introductory level mathematics text, written specifically for students of construction and related disciplines. Learn by tackling exercises based on real-life construction maths. Examples include: costing calculations, labour costs, cost of materials and setting out of building components. Suitable for beginners and easy to follow throughout. Learn the essential basic theory along with the practical necessities. The second edition of this popular textbook is fully updated to match new curricula, and expanded to include even more learning exercises. End of chapter exercises cover a range of theoretical as well as practical problems commonly found in construction practice, and three detailed assignments based on practical tasks give students the opportunity to apply all the knowledge they have gained. Construction Mathematics addresses all the mathematical requirements of Level 2 construction NVQs from City & Guilds/CITB and Edexcel courses, including the BTEC First Diploma in...
2016-01-01
This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.
Hougardy, Stefan
2016-01-01
Algorithms play an increasingly important role in nearly all fields of mathematics. This book allows readers to develop basic mathematical abilities, in particular those concerning the design and analysis of algorithms as well as their implementation. It presents not only fundamental algorithms like the sieve of Eratosthenes, the Euclidean algorithm, sorting algorithms, algorithms on graphs, and Gaussian elimination, but also discusses elementary data structures, basic graph theory, and numerical questions. In addition, it provides an introduction to programming and demonstrates in detail how to implement algorithms in C++. This textbook is suitable for students who are new to the subject and covers a basic mathematical lecture course, complementing traditional courses on analysis and linear algebra. Both authors have given this "Algorithmic Mathematics" course at the University of Bonn several times in recent years.
Sneyd, James
2009-01-01
There has been a long history of interaction between mathematics and physiology. This book looks in detail at a wide selection of mathematical models in physiology, showing how physiological problems can be formulated and studied mathematically, and how such models give rise to interesting and challenging mathematical questions. With its coverage of many recent models it gives an overview of the field, while many older models are also discussed, to put the modern work in context. In this second edition the coverage of basic principles has been expanded to include such topics as stochastic differential equations, Markov models and Gibbs free energy, and the selection of models has also been expanded to include some of the basic models of fluid transport, respiration/perfusion, blood diseases, molecular motors, smooth muscle, neuroendrocine cells, the baroreceptor loop, turboglomerular oscillations, blood clotting and the retina. Owing to this extensive coverage, the second edition is published in two volumes. ...
Pestman, Wiebe R
2009-01-01
This textbook provides a broad and solid introduction to mathematical statistics, including the classical subjects hypothesis testing, normal regression analysis, and normal analysis of variance. In addition, non-parametric statistics and vectorial statistics are considered, as well as applications of stochastic analysis in modern statistics, e.g., Kolmogorov-Smirnov testing, smoothing techniques, robustness and density estimation. For students with some elementary mathematical background. With many exercises. Prerequisites from measure theory and linear algebra are presented.
Berman, Elizabeth
1979-01-01
Mathematics Revealed focuses on the principles, processes, operations, and exercises in mathematics.The book first offers information on whole numbers, fractions, and decimals and percents. Discussions focus on measuring length, percent, decimals, numbers as products, addition and subtraction of fractions, mixed numbers and ratios, division of fractions, addition, subtraction, multiplication, and division. The text then examines positive and negative numbers and powers and computation. Topics include division and averages, multiplication, ratios, and measurements, scientific notation and estim
DEFF Research Database (Denmark)
Sørensen, John Aasted
2010-01-01
The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Spring 2010 Ectent: 5 ects Class size: 18......The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Spring 2010 Ectent: 5 ects Class size: 18...
DEFF Research Database (Denmark)
Sørensen, John Aasted
2010-01-01
The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Autumn 2010 Ectent: 5 ects Class size: 15......The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Autumn 2010 Ectent: 5 ects Class size: 15...
Directory of Open Access Journals (Sweden)
Ferhan Bingölbali
2016-08-01
Full Text Available How teachers read or interpret textbooks, which represent curricula, is important for successful implementation of curricula (the level of reading of knowledge, skills and values in the textbooks that curriculum sets forth for students’ learning. This paper aims to investigate how middle school mathematics teachers read mathematics textbooks in the light of goals of middle school mathematics curriculum. To this end, a 5th grade mathematics textbook’s segment which covers one learning objective about simplifying and expanding fractions is given to 30 middle school mathematics teachers and they are asked this following question: “What do think that the textbooks writers pay attention for teaching of this learning objective?” The findings reveal that the teachers did not read such mathematical process skills as reasoning, making connection, and communication which were reflected into the learning objective in the textbook. The findings also show that the teachers mainly read the textbooks by “describing what is done”, “providing suggestion”, and “pointing out short comings” and these suggest that this type of reading is rather superficial as far as the teaching that the curriculum aims to achieve is concerned. The paper draws attention to the issues regarding how the textbook reading skills of mathematics teachers can be developed and presents some implications about textbook research. [Öğretim programlarının bir yansıması konumunda olan ders kitaplarını öğretmenin nasıl okuduğu (programın öngördüğü bilgi, beceri ve değer hedeflerini kitaplarda okuyup okumadığı, vb. davranışlar programın başarıya ulaşmasında önem arz eder. Bu çalışmada ortaokul matematik öğretmenlerinin matematik ders kitaplarını nasıl okuduklarının, öğretim programlarının hedefleri doğrultusunda incelenmesi amaçlanmaktadır. Bunun için 30 ortaokul matematik öğretmenine kesirlerde sadeleştirme ve genişletme ile
Mathematics education and the dignity of being
Directory of Open Access Journals (Sweden)
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.
Energy Technology Data Exchange (ETDEWEB)
Glimm, J.
2009-10-14
Progress for the past decade or so has been extraordinary. The solution of Fermat's Last Theorem [11] and of the Poincare Conjecture [1] have resolved two of the most outstanding challenges to mathematics. For both cases, deep and advanced theories and whole subfields of mathematics came into play and were developed further as part of the solutions. And still the future is wide open. Six of the original seven problems from the Clay Foundation challenge remain open, the 23 DARPA challenge problems are open. Entire new branches of mathematics have been developed, including financial mathematics and the connection between geometry and string theory, proposed to solve the problems of quantized gravity. New solutions of the Einstein equations, inspired by shock wave theory, suggest a cosmology model which fits accelerating expansion of the universe possibly eliminating assumptions of 'dark matter'. Intellectual challenges and opportunities for mathematics are greater than ever. The role of mathematics in society continues to grow; with this growth comes new opportunities and some growing pains; each will be analyzed here. We see a broadening of the intellectual and professional opportunities and responsibilities for mathematicians. These trends are also occuring across all of science. The response can be at the level of the professional societies, which can work to deepen their interactions, not only within the mathematical sciences, but also with other scientific societies. At a deeper level, the choices to be made will come from individual mathematicians. Here, of course, the individual choices will be varied, and we argue for respect and support for this diversity of responses. In such a manner, we hope to preserve the best of the present while welcoming the best of the new.
International trends in curriculum research
DEFF Research Database (Denmark)
Rasmussen, Jens
of the western school systems (especially within natural science and mathematics), the PISA-study has also been followed by school and curriculum radical reforms. The inspiration for the European reforms was taken in the so called accountability policy that during the 1990s had been developed in the USA...... is at the same time a centralization and a decentralization strategy: centralization at the input and the output side and decentralization of processes. The basic idea is that those responsible for the processes (principals and teachers) are held responsible for the outcomes. In the USA outcomes are related...... of their first generation goals as well of their national test systems. A trend in international school reform policy seems to be a break with the New Public Management and accountability philosophy that has played a major role over the last two decades. It is probably too early to say that these strategies...
Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics
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…
Jost, Jürgen
2015-01-01
The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: · simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure · by itself as a first introduction to abstract mathematics · together with existing textbooks, to put their results into a more general perspective · to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detaile...
Rubin, Andrew
2014-01-01
This book presents concise descriptions and analysis of the classical and modern models used in mathematical biophysics. The authors ask the question "what new information can be provided by the models that cannot be obtained directly from experimental data?" Actively developing fields such as regulatory mechanisms in cells and subcellular systems and electron transport and energy transport in membranes are addressed together with more classical topics such as metabolic processes, nerve conduction and heart activity, chemical kinetics, population dynamics, and photosynthesis. The main approach is to describe biological processes using different mathematical approaches necessary to reveal characteristic features and properties of simulated systems. With the emergence of powerful mathematics software packages such as MAPLE, Mathematica, Mathcad, and MatLab, these methodologies are now accessible to a wide audience. Provides succinct but authoritative coverage of a broad array of biophysical topics and models Wr...
Hiriart-Urruty, Jean-Baptiste
This book contains a collection of exercises (called “tapas”) at undergraduate level, mainly from the fields of real analysis, calculus, matrices, convexity, and optimization. Most of the problems presented here are non-standard and some require broad knowledge of different mathematical subjects in order to be solved. The author provides some hints and (partial) answers and also puts these carefully chosen exercises into context, presents information on their origins, and comments on possible extensions. With stars marking the levels of difficulty, these tapas show or prove something interesting, challenge the reader to solve and learn, and may have surprising results. This first volume of Mathematical Tapas will appeal to mathematicians, motivated undergraduate students from science-based areas, and those generally interested in mathematics.
Vivaldi, Franco
2014-01-01
This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student. The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions. These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem. Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition. Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs. The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples. Many exercises are included; over 150...
Cahill, Kevin
2013-01-01
Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory.
Curriculum Change: What Do Teachers and Students Really Think?
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…
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.
Cook, Samuel A.; Borkovitz, Debra K.
2017-01-01
In this paper we present data from one-on-one interviews conducted with students who have taken intermediate and advanced inquiry-based mathematics courses in a program that prepares future preK-8 teachers. Many of these students entered college with a fear of math, but then gained confidence from a required introductory math course and chose to…
Bartocci, Claudio; Guerraggio, Angelo; Lucchetti, Roberto; Williams, Kim
2011-01-01
Steps forward in mathematics often reverberate in other scientific disciplines, and give rise to innovative conceptual developments or find surprising technological applications. This volume brings to the forefront some of the proponents of the mathematics of the twentieth century, who have put at our disposal new and powerful instruments for investigating the reality around us. The portraits present people who have impressive charisma and wide-ranging cultural interests, who are passionate about defending the importance of their own research, are sensitive to beauty, and attentive to the soci
Quotable Quotes in Mathematics
Lo, Bruce W. N.
1983-01-01
As a way to dispel negative feelings toward mathematics, a variety of quotations are given. They are categorized by: what mathematics is, mathematicians, mathematics and other disciplines, different areas of mathematics, mathematics and humor, applications of mathematics, and pure versus applied mathematics. (MNS)
Electromechanical Engineering Technology Curriculum.
Georgia State Univ., Atlanta. Dept. of Vocational and Career Development.
This guide offers information and procedures necessary to train electromechanical engineering technicians. Discussed first are the rationale and objectives of the curriculum. The occupational field of electromechanical engineering technology is described. Next, a curriculum model is set forth that contains information on the standard…
Solar Technology Curriculum, 1980.
Seward County Community Coll., Liberal, KS.
This curriculum guide contains lecture outlines and handouts for training solar technicians in the installation, maintenance, and repair of solar energy hot water and space heating systems. The curriculum consists of four modular units developed to provide a model through which community colleges and area vocational/technical schools can respond…
The Galapagos Jason Curriculum.
National Science Teachers Association, Arlington, VA.
The JASON Curriculum Project materials are designed to prepare teachers and students for an exploration around the Galapagos Islands via satellite transmission of live images and sound. This curriculum package contains five units, 25 lesson plans, and over 50 activities, along with teacher background material, student worksheets and readings, a…
Equasions for Curriculum Improvement.
Eckenrod, James S.
1986-01-01
Describes the Technology in Curriculum (TIC) program resource guides which will be distributed to California schools in the fall of 1986. These guides match available instructional television programs and computer software to existing California curriculum guides in order to facilitate teachers' classroom use. (JDH)
The Alignment of easyCBM[R] Math Measures to Curriculum Standards. Technical Report #1002
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…
Item-Level and Construct Evaluation of Early Numeracy Curriculum-Based Measures
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…
International Nuclear Information System (INIS)
Wainwright, J.
1990-01-01
The workshop on mathematical cosmology was devoted to four topics of current interest. This report contains a brief discussion of the historical background of each topic and a concise summary of the content of each talk. The topics were; the observational cosmology program, the cosmological perturbation program, isotropic singularities, and the evolution of Bianchi cosmologies. (author)
Weaver, Nik
2001-01-01
With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures. This approach makes possible, with minimal mathematical detail, a unified treatment of a variety of topics.Detailed here for the first time, the fundamental idea of mathematical quantization is that sets are replaced by Hilbert spaces. Building on this idea, and most importantly on the fact that scalar-valued functions on a set correspond to operators on a Hilbert space, one can determine quantum analogs of a variety of classical structures. In particular, because topologies and measure classes on a set can be treated in terms of scalar-valued functions, we can transfer these constructions to the quantum realm, giving rise to C*- and von Neumann algebras.In the first half of the book, the author quickly builds the operator algebra setting. He uses this ...
Fujita, Shinsaku
2015-01-01
Chirality and stereogenicity are closely related concepts and their differentiation and description is still a challenge in chemoinformatics. A new stereoisogram approach, developed by the author, is introduced in this book, providing a theoretical framework for mathematical aspects of modern stereochemistry. The discussion covers point-groups and permutation symmetry and exemplifies the concepts using organic molecules and inorganic complexes.
Why Teach mathematics to Adults?
DEFF Research Database (Denmark)
Johansen, Lene Østergaard
2008-01-01
teachers. I distinguish analytically between three different discourses. The Political Discourse, The Curriculum Planner Discourse and The Mathematics Teachers Discourse. The discourses are analysed separately and I distinguish between explicit reasons and implicit reasons. In the thesis I construct...... a framework or a tool for my analysis of the three discourses, which consists of three elements. I identify the explicit reasons asking the question "Why teach mathematics to adults?" to the texts of each discourse. To identify the implicit reasons, I assume that it is necessary to construct a need...... in all areas of life increases considerably with good (functional/basic) numeracy skills. The analysis of the implicit reasons shows that the politicians construct a need for education through the way they talk about the demands of the labour market, the demands of the educational system, the demands...
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...
The language of mathematics telling mathematical tales
Barton, Bill
2008-01-01
Everyday mathematical ideas are expressed differently in different languages. This book probes those differences and explores their implications for mathematics education, arguing for alternatives to how we teach and learn mathematics.
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.
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...
Directory of Open Access Journals (Sweden)
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.
Directory of Open Access Journals (Sweden)
Šefer Jasmina P.
2003-01-01
Full Text Available Thematic curriculum combines disciplines and media. The process is problem-oriented and the scenario most often follows the logic of exploring or storytelling. Those two approaches to teaching are appropriate because they fit into interdisciplinary and creative open-ended problem solving through play, as insisted upon by thematic curriculum. The matrix, where seven types of abilities intersect with five types of problems according to their degree of openness, defines well the outcomes of teaching. However, it did not prove to be suitable for planning the majority of activities in thematic curriculum, for it follows with difficulty the process of exploring or storytelling i.e. it disrupts the subject matter coherence of thematic curriculum. Therefore, it is suggested that matrix should be used for disciplinary curriculum planning but for that of thematic curriculum only in exclusive cases. The matrix should be used primarily as a framework for evaluating the distribution of various types of abilities and problem situations in teaching. The logic of diverse approaches to teaching reflects itself in the manner of planning and organizing the teaching process. Conceptual, visual-graphic, structural and other aids employed during educational process planning should suit the nature of the approach chosen. On the basis of qualitative investigations of educational process, in the present paper considerations are given to various approaches to teaching development of various drafts for the planning of teaching, and recognition of the logic of storytelling and exploring in thematic curriculum.
Sierpinska, Anna
1994-01-01
The concept of understanding in mathematics with regard to mathematics education is considered in this volume, the main problem for mathematics teachers being how to facilitate their students'' understanding of the mathematics being taught.
Driessche, Pauline; Wu, Jianhong
2008-01-01
Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downlo...
International Nuclear Information System (INIS)
Nedelec, J.C.
1988-01-01
The 1988 progress report of the Applied Mathematics center (Polytechnic School, France), is presented. The research fields of the Center are the scientific calculus, the probabilities and statistics and the video image synthesis. The research topics developed are: the analysis of numerical methods, the mathematical analysis of the physics and mechanics fundamental models, the numerical solution of complex models related to the industrial problems, the stochastic calculus and the brownian movement, the stochastic partial differential equations, the identification of the adaptive filtering parameters, the discrete element systems, statistics, the stochastic control and the development, the image synthesis techniques for education and research programs. The published papers, the congress communications and the thesis are listed [fr
Engaging Stakeholders in Curriculum Development
Wood, Jo Nell
2010-01-01
This article investigates the importance of parent and community engagement in curriculum development, along with curriculum leadership, engaging stakeholders, and the importance of curriculum. Parent and community member engagement is examined in light of curriculum committee participation as reported by Missouri superintendents. Survey responses…
One Mathematics for All: Can It Be Realized in a Multicultural, Multilingual Country?
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.
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…
Dilemma in Teaching Mathematics
Md Kamaruddin, Nafisah Kamariah; Md Amin, Zulkarnain
2012-01-01
The challenge in mathematics education is finding the best way to teach mathematics. When students learn the reasoning and proving in mathematics, they will be proficient in mathematics. Students must know mathematics before they can apply it. Symbolism and logic is the key to both the learning of mathematics and its effective application to…
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…
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…
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…
Curriculum Guidelines for Periodontics.
Journal of Dental Education, 1985
1985-01-01
Guidelines describe the interrelationships of this and other dental fields, give an overview of the curriculum and its primary educational objectives, and outline the suggested prerequisites, core content, specific behavioral objectives, sequencing, and faculty requirements. (MSE)
Rosenstein, Joseph
1971-01-01
Paper presented at the Summer Meeting of the Alexander Graham Bell Association for the Deaf held in Philadelphia, June 24-27, 1970. Discussed are concepts of curriculum development, cognitive development, and educational methods with implications for the handicapped. (CB)
Teaching Mathematical Modeling in Mathematics Education
Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant
2016-01-01
Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…
Doing Mathematics with Purpose: Mathematical Text Types
Dostal, Hannah M.; Robinson, Richard
2018-01-01
Mathematical literacy includes learning to read and write different types of mathematical texts as part of purposeful mathematical meaning making. Thus in this article, we describe how learning to read and write mathematical texts (proof text, algorithmic text, algebraic/symbolic text, and visual text) supports the development of students'…
Teachers' Mathematics as Mathematics-at-Work
Bednarz, Nadine; Proulx, Jérôme
2017-01-01
Through recognising mathematics teachers as professionals who use mathematics in their workplace, this article traces a parallel between the mathematics enacted by teachers in their practice and the mathematics used in workplaces found in studies of professionals (e.g. nurses, engineers, bankers). This parallel is developed through the five…
What is the problem in problem-based learning in higher education mathematics
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.
Dragalin, A G
1988-01-01
This monograph is intended to present the most important methods of proof theory in intuitionistic logic, assuming the reader to have mastered an introductory course in mathematical logic. The book starts with purely syntactical methods based on Gentzen's cut-elimination theorem, followed by intuitionistic arithmetic where Kleene's realizability method plays a central role. The author then studies algebraic models and completeness theorems for them. After giving a survey on the principles of intuitionistic analysis, the last part of the book presents the cut-elimination theorem in intuitionistic simple theory of types with an extensionality rule.
Uncovering Hidden Mathematics of the Multiplication Table Using Spreadsheets
Directory of Open Access Journals (Sweden)
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.
Space Mathematics: A Resource for Secondary School Teachers
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.
Visuospatial training improves elementary students' mathematics performance.
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.
DEFF Research Database (Denmark)
Mogensen, Arne; Georgiev, Vladimir; Ulovec, Andreas
To encourage many more young people to appreciate the real nature and spirit of mathematics and possibly to be enrolled in mathematics study it is important to involve them in doing mathematics (not just learning about mathematics). This goal could be achieved if mathematics teachers are prepared...... to identify and work with mathematically gifted students (without loosing the rest). The book offers chapters on gifted students, mathematical competences and other issues....
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 ...
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.
Authenticity of Mathematical Modeling
Tran, Dung; Dougherty, Barbara J.
2014-01-01
Some students leave high school never quite sure of the relevancy of the mathematics they have learned. They fail to see links between school mathematics and the mathematics of everyday life that requires thoughtful decision making and often complex problem solving. Is it possible to bridge the gap between school mathematics and the mathematics in…
Developing Student-Centered Learning Model to Improve High Order Mathematical Thinking Ability
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…
Problem solving as a challenge for mathematics education in The 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
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 ...
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…
Do the Standards Go Far Enough? Power, Policy, and Practice in Mathematics Education.
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…
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…
New Standards Require Teaching More Statistics: Are Preservice Secondary Mathematics Teachers Ready?
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…
Applying Realistic Mathematics Education (RME) in teaching geometry in Indonesian primary schools
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
Scott Foresman-Addison Wesley Elementary Mathematics. What Works Clearinghouse Intervention Report
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…
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 the Instructional System in Mathematics: 1977-1978.
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…
Gifted Education in Korea: Three Korean High Schools for the Mathematically Gifted
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,…
MONTO: A Machine-Readable Ontology for Teaching Word Problems in Mathematics
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…
Enhancing Science and Mathematics Education for Child Care Providers and Preschool Teachers.
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…
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…
Profiling Student Use of Calculators in the Learning of High School Mathematics
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…
Teachers Implementing Mathematical Problem Posing in the Classroom: Challenges and Strategies
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.…
Structural and Conceptual Interweaving of Mathematics Methods Coursework and Field Practica
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…
Teaching (Un)Connected Mathematics: Two Teachers' Enactment of the Pizza Problem
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…
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 ...
Elevate or Relegate? The Relative Importance of Mathematics
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…
Examination of Mathematics Teachers' Pedagogical Content Knowledge of Probability
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…
The Effects of Elementary Departmentalization on Mathematics Proficiency
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…
Enhancing the Teaching and Learning of Mathematical Visual Images
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
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…
Modeling life the mathematics of biological systems
Garfinkel, Alan; Guo, Yina
2017-01-01
From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. This book develops the mathematical tools essential for students in the life sciences to describe these interacting systems and to understand and predict their behavior. Complex feedback relations and counter-intuitive responses are common in dynamical systems in nature; this book develops the quantitative skills needed to explore these interactions. Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler’s method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models ...
Learners, teachers and curriculum
DEFF Research Database (Denmark)
Petersen, Karen Bjerg
2008-01-01
of virtual e-learning, interviews with teachers and 10 learner participants in a virtual classroom setting, and discourse analysis of curriculum developed for the particular e-learning course The research has taken place in the context of a study of e-learning and virtual teaching of Danish as a Second...... language for adults. The research results indicate that teachers seem to compensate by trying to create virtual communities of learning. Learners, however, experience disembedded relations. Conversely, curriculum development, on tends to ‘exploit’ the conditions of disembedding social relations in e-learning......, locationally distant”. The aim of the paper is to analyse and discuss how different positions in e-learning settings result in different answers to modernity. These settings can be applied to either teacher, learner or curriculum positions. The research was based on a qualitative longitudinal case study...
Teaching mathematics using excel
Bonello, Mary Rose; Camilleri, Silvana
2004-01-01
'Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning.' (Principles and Standards for School Mathematics-NCTM April 2000)
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…
Figures of thought mathematics and mathematical texts
Reed, David
2003-01-01
Examines the ways in which mathematical works can be read as texts, examines their textual strategiesand demonstrates that such readings provide a rich source of philosophical debate regarding mathematics.
DEFF Research Database (Denmark)
This Symposium presents curriculum design and content issues in a Scandinavian business school at its Centenary. The aim is an exploration of an educational institution at the interface of the European Higher Education Area (EHEA) within the historical trends of the European Union. We hope...... of interdisciplinarity, use of text production as a tool in support of project and thesis writing, and the use of plurilingual content based teaching in a cooperative learning model for European studies. The history of one curriculum model initiated to educate better citizens, combining interdisciplinary methods...
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...
Berlin, Donna F.; White, Arthur L.
2002-01-01
Describes the purpose of the Master of Education (M. Ed.) Program in Integrated Mathematics, Science, and Technology Education (MSAT Program) at The Ohio State University and discusses preservice teachers' attitudes and perceptions toward integrated curriculum. (Contains 35 references.) (YDS)
Plank, Kristie J.; Snyder, Maureen M.; Santeford, Deborah; Bautz, Kim; Repka-Peters, Margie; Thornburgh, Roberta; Bistricky, Stacey; Buse, Anne
1999-01-01
Provides a library media activity designed for social studies and focused on retrieving and comparing bibliographic information from print and nonprint sources. Describes library media skills objectives; curriculum (subject area) objectives; grade levels (7 through 9); print, CDROM and other resources; instructional roles; procedures; evaluation;…
Dialogue in mathematics classrooms: Beyond question-and- answer methods
Directory of Open Access Journals (Sweden)
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.
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.
Mathematical Modelling Approach in Mathematics Education
Arseven, Ayla
2015-01-01
The topic of models and modeling has come to be important for science and mathematics education in recent years. The topic of "Modeling" topic is especially important for examinations such as PISA which is conducted at an international level and measures a student's success in mathematics. Mathematical modeling can be defined as using…
Introducing philosophy of mathematics
Friend, Michele
2014-01-01
What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual acc
Directory of Open Access Journals (Sweden)
Wanderleya Gonçalves Costa
2010-01-01
Full Text Available Neste artigo, problematizamos as narrativas da nação brasileira que mascaram a identidade múltipla do País e ressaltamos mecanismos de exclusão presentes nas escolas. Lembramos que o Brasil, devido à sua formação histórico-social, é multirracial e pluriétnico, mas a escola continua a desconsiderar essa realidade, o que tem contribuído para elevar os índices de evasão e repetência de crianças provenientes de alguns grupos socioculturais. Então, remetendo-nos à aprovação da Lei 11.645/08, que inclui no currículo oficial dos estabelecimentos de ensino básico das redes pública e privada a obrigatoriedade do estudo da história e culturas africana, afro-brasileira e indígena, encaminhamos nossas discussões para o ensino de Matemática. Nesse contexto, discorremos sobre algumas das formas por meio das quais as pesquisas em Etnomatemática podem contribuir para discutir e destacar, no espaço escolar, os conhecimentos que possuem essas matrizes culturais. A partir daí, apresentamos algumas reflexões suscitadas por pesquisas que temos realizado na região de Pirituba, no município de São Paulo, onde atua o segundo autor e junto aos índios A'uwe-xavante do Mato Grosso, onde atua a primeira autora.In this article, narratives from the Brazilian nation are problematized, which disguise the country multiple identity and we emphasize mechanisms of exclusion present in schools. We remind that Brazil, because of its historical and social organization is multiracial and pluriethnical, but school continues to ignore this reality, which has contributed to raise the dropout and repetition rates of children from some socio-cultural groups. Then, concerning the 11.645/08 Law approval, which includes the compulsory study of the history and culture from Africans, Brazilian Africans and indigenous added in the official curriculum of private and public elementary schools, we guided our discussions for the teaching of Mathematics. In this
The Maths Arcade: A Tool for Supporting and Stretching Mathematics Undergraduates
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...
Context-based mathematics tasks in Indonesia : Toward better practice and achievement
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...
Advanced Placement Mathematics Calculus, Grade 12 Curriculum Guide.
Scharf, John; And Others
This document is a guide to the advanced placement program in calculus for grade 12 in the city schools in Warren, Ohio. The program covers analytic geometry, differential and integral calculus of algebraic functions, elementary transcendental functions, and applications of differentiation and integration. The philosophy and aims of the program…
Commentary on A General Curriculum in Mathematics for Colleges.
Committee on the Undergraduate Program in Mathematics, Berkeley, CA.
This document constitutes a complete revision of the report of the same name first published in 1965. A new list of basic courses is described, consisting of Calculus I, Calculus II, Elementary Linear Algebra, Multivariable Calculus I, Linear Algebra, and Introductory Modern Algebra. Commentaries outline the content and spirit of these courses in…
Cummins, Jim; Chow, Patricia; Schechter, Sandra R.
2006-01-01
This article describes a project involving teachers, parents, and university researchers in collaborations to support multilingual children's development and use of language. Strategies for fostering an inclusive climate included building on the interests and resources of the local community, involving community members in curriculum development,…
BIBLIOGRAPHY ON CURRICULUM DEVELOPMENT.
Harvard Univ., Cambridge, MA. Graduate School of Education.
THIS BIBLIOGRAPHY LISTS MATERIALS ON VARIOUS ASPECTS OF CURRICULUM DEVELOPMENT. FORTY UNANNOTATED REFERENCES ARE PROVIDED FOR DOCUMENTS DATING FROM 1960 TO 1966. BOOKS, JOURNALS, REPORT MATERIALS, AND SOME UNPUBLISHED MANUSCRIPTS ARE LISTED IN SUCH AREAS AS COGNITIVE STUDIES, VOCATIONAL REHABILITATION, INSTRUCTIONAL MATERIALS, SCIENCE STUDIES, AND…
George, Judith W.
2009-01-01
The article identifies some key findings in pedagogical research over recent decades, placing them within a framework of logical curriculum development and current practice in quality assurance and enhancement. Throughout, the ideas and comments are related to the practice of teaching classics in university. (Contains 1 figure and 3 notes.)
Mofsky, James S.
1976-01-01
On the premise that corporate counsel must be an able diagnostician before he can focus on highly specialized and interrelated issues of business law, the author suggests an approach to corporate law curriculum in which the basic course balances the quality and quantity of material designed to create the needed sensitivity. (JT)
Nakayasu, Chie
2016-01-01
This article examines Japanese education system especially relevant to the school curriculum, which might support Japanese high performance in the OECD's Programme for International Student Assessment (PISA), mainly through Japanese policy documents. The Japanese education systems have been constructed by the local context of society and politics,…
North Carolina State Dept. of Public Instruction, Raleigh. Instructional Services.
North Carolina's Latin curriculum guide describes the overarching concepts for Latin study, particularly at the secondary level, and outlines what students should know and be able to do at the beginning, intermediate, and advanced levels. It is designed to provide directions to school districts as they plan and/or continue to improve their Latin…
Center for Understanding the Built Environment, Prairie Village, KS.
This curriculum packet contains two lesson plans about cities and architecture intended for use with students in upper elementary grades and middle schools. The first lesson plan, "City People, City Stories" (Jan Ham), states that understanding architecture and cities must begin with an understanding of the people of the city. The children create…
Fashion Merchandising Curriculum Guide.
Winthrop Coll., Rock Hill, SC. School of Home Economics.
The curriculum guide (developed by the South Carolina Office of Vocational Education, the School of Home Economics of Winthrop College, business leaders, and distributive educators) is designed for the teaching of a one-year distributive education specialty program for 12th grade students interested in pursuing a career in fashion merchandising.…
Graphic Communications. Curriculum Guide.
North Dakota State Board for Vocational Education, Bismarck.
This guide provides the basic foundation to develop a one-semester course based on the cluster concept, graphic communications. One of a set of six guides for an industrial arts curriculum at the junior high school level, it suggests exploratory experiences designed to (1) develop an awareness and understanding of the drafting and graphic arts…
Curriculum Development Through Delphi
Reeves, Gary; Jauch, Lawrence R.
1978-01-01
The basic Delphi methodology is outlined along with possible goals and objectives in a Delphi study. The results of an actual case study in the use of the Delphi method for higher education curriculum development are reported, and attention is given to the problem of selecting participants for a Delphi exercise. (Author/LBH)
Wright, Wynn D., Ed.
This cooking curriculum, issued by the Washington District Early Childhood Council, details specific ways in which language arts, math, science, and social studies may be taught through cooking specific recipes. Cooking activities and recipes are presented for the fall, winter, and spring months, and guidelines are provided for preparing…
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…
Hospitality Occupations. Curriculum Guide.
California State Dept. of Education, Sacramento. Bureau of Homemaking Education.
This curriculum guide on the hospitality occupations was developed to help secondary and postsecondary home economics teachers prepare individuals for entry-level jobs in the hospitality industry. The content is in seven sections. The first section presents organizational charts of a medium-size hotel, food and beverage division, housekeeping and…
Burns, Marilyn; And Others
1994-01-01
Across-the-curriculum articles focus on four areas. A math activity describes optical illusions and the properties of shapes. A hands-on science activity presents the chemistry of secret messages. A writing lesson helps students capture the essence of character. An art lesson presents a project on medieval castles. (SM)
Colby, Ira C.
2013-01-01
The foundation year and specialization year of study are the accepted framework for graduate social work education. A common belief among educators is that accreditation standards are prescriptive by design, resulting in a rigidity that neither encourages nor supports curricular innovation. This article outlines a newly developed curriculum model…
du Preez, Petro; Simmonds, Shan
2014-01-01
Theoretical ambiguities in curriculum studies result in conceptual mayhem. Accordingly, they hinder the development of the complicated conversation on curriculum as a verb. This article aims to contribute to reconceptualizing curriculum studies as a dynamic social practice that aspires to thinking and acting with intelligences and sensitivity so…
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'.
Mathematics as a laboratory tool dynamics, delays and noise
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...
Mathematics related anxiety: Mathematics bogeyman or not?
Directory of Open Access Journals (Sweden)
Videnović Marina
2011-01-01
Full Text Available Data of the PISA 2003 survey indicate high levels of mathematics anxiety of students in Serbia. More than half of our students worry whether they will have difficulties in mathematics class or whether they will earn poor marks. Aims of this study therefore are: examining relationship between math anxiety and achievement at mathematics literacy scale; establishing possible predictors of math anxiety and identification of students' groups in relations to their relationship towards mathematics as a subject. Mathematics anxiety is statistically negatively correlated with school achievement and achievement at mathematics literacy scale. Socio-demographic factors, motivational and cognitive aspects related to learning mathematics, perception of school and classroom climate explain 40% variance of mathematics anxiety. Based on students' relationship towards mathematics they cam be divided into three groups; while dimensions that apart them are uninterested-interested in mathematics and presence-absence of anxiety. The group displaying anxiety scores lowest among the three. Applying qualitative analysis students' and teachers' attitudes on specific issues related to teaching and learning mathematics was examined.
Creating opportunities to learn in mathematics education: a sociocultural perspective
Goos, Merrilyn
2014-09-01
The notion of `opportunities to learn in mathematics education' is open to interpretation from multiple theoretical perspectives, where the focus may be on cognitive, social or affective dimensions of learning, curriculum and assessment design, issues of equity and access, or the broad policy and political contexts of learning and teaching. In this paper, I conceptualise opportunities to learn from a sociocultural perspective. Beginning with my own research on the learning of students and teachers of mathematics, I sketch out two theoretical frameworks for understanding this learning. One framework extends Valsiner's zone theory of child development, and the other draws on Wenger's ideas about communities of practice. My aim is then to suggest how these two frameworks might help us understand the learning of others who have an interest in mathematics education, such as mathematics teacher educator-researchers and mathematicians. In doing so, I attempt to move towards a synthesis of ideas to inform mathematics education research and development.
Umphrey, Jan
2011-01-01
The National Council of Teachers of Mathematics (NCTM) is a voice and advocate for mathematics educators, working to ensure that all students receive equitable mathematics learning of the highest quality. To help teachers and school leaders understand the Common Core State Standards for Mathematics (CCSSM) and to point out how the CCSSM can be…
DEFF Research Database (Denmark)
Hansen, Vagn Lundsgaard
2005-01-01
A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations.......A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations....
DEFF Research Database (Denmark)
Hansen, Vagn Lundsgaard
A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations.......A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations....
Mumcu, Hayal Yavuz
2016-01-01
The purpose of this theoretical study is to explore the relationships between the concepts of using mathematics in the daily life, mathematical applications, mathematical modelling, and mathematical literacy. As these concepts are generally taken as independent concepts in the related literature, they are confused with each other and it becomes…
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.
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.
Podarok fotografov k 8 Marta / A. Shurina
Shurina, A.
1999-01-01
Naistepäevaeelsest fotonäitusest 'Objektiiv kui elu peegel' Narva kindluses. Enamik autoreid ja fotografeerituid on naised. Osalevad Tatjana Novikova, Irina Ivanen, Irina Kivimäe, Galina Bannikova, Sergei Andrejev, Valeri Boltushin jt.
Mathematics and culture in Micronesia
Directory of Open Access Journals (Sweden)
A. J. (Sandy Dawson
2015-07-01
Full Text Available Wheatley and Frieze‟s book, Walk Out Walk On, provides the conceptual framework for an examination of Project MACIMISE, a National Science Foundation funded project that focused on the languages and cultural practices of nine Pacific islands and the state of Hawai„i. MACIMISE, pronounced as if spelled „maximize‟, is a 5-year Project. The Project‟s task is the development of elementary school mathematics curriculum units sensitive to local mathematical thought and experience. There were twenty-one participants (who call themselves the Macimisers in the Project. The participants were educated in ethnographic and anthropological research strategies to enable them to retrieve/uncover cultural practices extant in the communities where they lived. This academics work was accomplished partially via distance learning when the participants were registered in advanced degree programs at the University of Hawai„i—Mānoa. In this paper, the Project is analyzed in terms of the concepts (scaling across, start anywhere—follow it everywhere, intervention to friendship, the art of hosting and the use of circle advanced by Wheatley and Frieze.