Bridging the Gap to University Mathematics

Bridging the Gap to University Mathematics

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  • Author: Edward Hurst
  • Publisher: Springer Science & Business Media
  • ISBN: 1848002904
  • Category : Mathematics
  • Languages : en
  • Pages : 347

Helps to ease the transition between school/college and university mathematics by (re)introducing readers to a range of topics that they will meet in the first year of a degree course in the mathematical sciences, refreshing their knowledge of basic techniques and focussing on areas that are often perceived as the most challenging. Each chapter starts with a "Test Yourself" section so that readers can monitor their progress and readily identify areas where their understanding is incomplete. A range of exercises, complete with full solutions, makes the book ideal for self-study.


A Mathematical Bridge

A Mathematical Bridge

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  • Author: Stephen Fletcher Hewson
  • Publisher: World Scientific
  • ISBN: 9812834079
  • Category : Education
  • Languages : en
  • Pages : 672

Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does.The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.


School Mathematics Curricula

School Mathematics Curricula

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  • Author: Catherine P. Vistro-Yu
  • Publisher: Springer
  • ISBN: 9811363129
  • Category : Education
  • Languages : en
  • Pages : 237

This book sheds light on school mathematics curricula in Asian countries, including their design and the recent reforms that have been initiated. By discussing and analyzing various problematic aspects of curriculum development and implementation in a number of East and South Asian countries and offering insights into these countries’ unique approaches to supplementing school mathematics curricula, it contributes to shaping effective policies for implementation, assessment and monitoring of curricula. The book covers a wide range of issues: curriculum design, localization of curricula, directions of curricular reforms, mathematics textbooks, assessment within the curriculum and teachers’ professional development, which are of interest to a wide international audience.


Transitions in Mathematics Education

Transitions in Mathematics Education

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  • Author: Ghislaine Gueudet
  • Publisher: Springer
  • ISBN: 3319316222
  • Category : Education
  • Languages : en
  • Pages : 34

This book examines the kinds of transitions that have been studied in mathematics education research. It defines transition as a process of change, and describes learning in an educational context as a transition process. The book focuses on research in the area of mathematics education, and starts out with a literature review, describing the epistemological, cognitive, institutional and sociocultural perspectives on transition. It then looks at the research questions posed in the studies and their link with transition, and examines the theoretical approaches and methods used. It explores whether the research conducted has led to the identification of continuous processes, successive steps, or discontinuities. It answers the question of whether there are difficulties attached to the discontinuities identified, and if so, whether the research proposes means to reduce the gap – to create a transition. The book concludes with directions for future research on transitions in mathematics education.


Mathematics Curriculum Topic Study

Mathematics Curriculum Topic Study

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  • Author: Page Keeley
  • Publisher: Corwin Press
  • ISBN: 1452208743
  • Category : Education
  • Languages : en
  • Pages : 257

The Curriculum Topic Study (CTS) process provides a professional development strategy that links mathematics standards and research to curriculum, instruction, and assessment.


Modelling and Applications in Mathematics Education

Modelling and Applications in Mathematics Education

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  • Author: Peter L. Galbraith
  • Publisher: Springer Science & Business Media
  • ISBN: 0387298223
  • Category : Education
  • Languages : en
  • Pages : 524

The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.


Transformation - A Fundamental Idea of Mathematics Education

Transformation - A Fundamental Idea of Mathematics Education

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  • Author: Sebastian Rezat
  • Publisher: Springer Science & Business Media
  • ISBN: 1461434890
  • Category : Education
  • Languages : en
  • Pages : 409

The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?


Encyclopedia of Teacher Education

Encyclopedia of Teacher Education

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  • Author: Michael A. Peters
  • Publisher: Springer Nature
  • ISBN: 9811686793
  • Category : Education
  • Languages : en
  • Pages : 2238

This encyclopaedia is a dynamic and living reference that student teachers, teacher educators, researchers and professionals in the field of education with an accent on all aspects of teacher education, including: teaching practice; initial teacher education; teacher induction; teacher development; professional learning; teacher education policies; quality assurance; professional knowledge, standards and organisations; teacher ethics; and research on teacher education, among other issues. The Encyclopedia is an authoritative work by a collective of leading world scholars representing different cultures and traditions, the global policy convergence and counter-practices relating to the teacher education profession. The accent will be equally on teaching practice and practitioner knowledge, skills and understanding as well as current research, models and approaches to teacher education.


Empowering Mathematics Learners: Yearbook 2017, Association Of Mathematics Educators

Empowering Mathematics Learners: Yearbook 2017, Association Of Mathematics Educators

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  • Author: Kaur Berinderjeet
  • Publisher: World Scientific
  • ISBN: 9813224231
  • Category : Education
  • Languages : en
  • Pages : 396

This book contributes towards the literature in the field of mathematics education, specifically on aspects of empowering learners of mathematics. The book, comprising eighteen chapters, written by renowned researchers in mathematics education, provides readers with approaches and applicable classroom strategies to empower learners of mathematics. The chapters in the book can be classified into four sections. The four sections focus on how learners could be empowered in their learning, cognitive and affective processes, through mathematical content, purposefully designed mathematical tasks, whilst developing 21st century competencies. Contents: Empowering Mathematics Learners (Berinderjeet Kaur & Lee Ngan Hoe)Empowering Learning in an Algebra Class: The Case of Expansion and Factorisation (Chua Boon Liang)Facilitating Students' Mathematical Noticing (Tan Liang Soon & Hang Kim Hoo)Empowering Junior College Students through the Educational Use of Graphics Calculators (Barry Kissane)Understanding Future Teachers' Mathematical Knowing to Overcome Double Discontinuities (Hyungmi Cho & Oh Nam Kwon)Developing Student Voice in the Mathematics Classroom (Glenda Anthony & Roberta Hunter)Empowering Mathematics Learners through Effective Memory Strategies (Wong Khoon Yoong)Empower Primary School Pupils to Use Representations to Solve Process Problems (Yeo Kai Kow Joseph)Empowering Mathematics Learners with Metacognitive Strategies in Problem Solving (Loh Mei Yoke & Lee Ngan Hoe)Mathematical Problem Solving: An Approach to Empowering Students in the Mathematics Classroom (Toh Tin Lam)Empowering Mathematics Learners through Exploratory Tasks (Ariyadi Wijaya)Use of Open and Guided Investigative Tasks to Empower Mathematics Learners (Joseph B W Yeo)Using Representations to Develop Mathematical Thinking (Palanisamy K Veloo & Parmjit Singh)Empowering Teachers to Use Open-Ended Real-World Tasks in Primary Mathematics Classrooms (Ng Kit Ee Dawn)ACISK Framework — A Tool for Empowering Mathematics Learners to be Self-Directed (Wong Lai Fong & Berinderjeet Kaur)Empowering Students through Inquiry (Steve Thornton)Developing Self-Regulated Learners in the Primary Mathematics Classroom (Cheng Lu Pien & Teong Ying Xi Theodora)Empowering Students' Learning through Mathematical Modelling (Chun Ming Eric Chan, Rashidah Vapumarican, Kaiwen Vanessa Oh, Huanjia Tracey Liu & Yew Hwee Seah) Readership: Graduate students, researchers, practitioners and teachers in mathematics.


Some Exercises in Pure mathematics

Some Exercises in Pure mathematics

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  • Author:
  • Publisher: CUP Archive
  • ISBN:
  • Category :
  • Languages : en
  • Pages : 152