teaching mathematical reasoning in secondary school classrooms mathematics teacher education

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Teaching Mathematical Reasoning In Secondary School Classrooms

Author : Karin Brodie
ISBN : 0387097422
Genre : Education
File Size : 22. 43 MB
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For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills—specifically, reasoning skills—that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities. A sampling of the topics covered: Whole-class discussion methods for teaching mathematics reasoning. Learning mathematical reasoning through tasks. Teaching mathematics using the five strands. Classroom strategies for promoting mathematical reasoning. Maximizing student contributions in the classroom. Overcoming student resistance to mathematical conversations. Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.

Teaching Mathematical Reasoning In Secondary School Classrooms

Author : Karin Brodie
ISBN : 1489984372
Genre : Education
File Size : 73. 77 MB
Format : PDF, ePub, Docs
Download : 691
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For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills—specifically, reasoning skills—that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities. A sampling of the topics covered: Whole-class discussion methods for teaching mathematics reasoning. Learning mathematical reasoning through tasks. Teaching mathematics using the five strands. Classroom strategies for promoting mathematical reasoning. Maximizing student contributions in the classroom. Overcoming student resistance to mathematical conversations. Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.

Becoming A Mathematics Teacher

Author : Tony Brown
ISBN : 9400705549
Genre : Education
File Size : 45. 53 MB
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The book is centered on how major curriculum reform shapes mathematics and the professional practices of teachers. This book documents in real time the implementation of a major government numeracy programme and its receipt by trainee and new teachers. It documents the complete life span of that initiative. The account is targeted at an international readership in terms of how curriculum reform more generally shapes mathematics in schools and the practices of teachers. A key dimension of the book is an alternative view of mathematics education research in which the task of teacher development is understood at policy level where large numbers of teachers were interviewed to assess how policies were being processed through individuals. The book provides an easy and accessible commentary utilising contemporary theory to describe how such teachers reconcile their personal aspirations with the external demands they encounter in negotiating their identities as professional teachers.

Teaching Secondary School Mathematics

Author : Merrilyn Goos
ISBN : 9781952535499
Genre : Education
File Size : 25. 92 MB
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Since its first publication, Teaching Secondary School Mathematics has established itself as one of the most respected and popular texts for both pre-service and in-service teachers. This new edition has been fully revised and updated to reflect the major changes brought about by the introduction of the Australian Curriculum: Mathematics, as well as discussing significant research findings, the evolution of digital teaching and learning technologies, and the implications of changes in education policies and practices. The mathematical proficiencies that now underpin the Australian curriculum -- understanding, fluency, problem solving and reasoning -- are covered in depth in Part 1, and a new section is devoted to the concept of numeracy. The chapter on digital tools and resources has been significantly expanded to reflect the growing use of these technologies in the classroom, while the importance of assessment is recognised with new material on assessment for learning and as learning, along with a consideration of policy development in this area. Important research findings on common student misconceptions and new and effective approaches for teaching key mathematical skills are covered in detail. As per the first edition readers will find a practical guide to pedagogical approaches and the planning and enactment of lessons together with enhanced chapters on teaching effectively for diversity, managing issues of inequality and developing effective relationships with parents and the community. This book is the essential pedagogical tool for every emerging teacher of secondary school mathematics. 'The text offers an excellent resource for all of those involved in the preparation of secondary mathematics teachers, with links to research literature, exemplars of classroom practices, and instructional activities that encourage readers to actively examine and critique practices within their own educational settings.' Professor Glenda Anthony, Institute of Education, Massey University 'A rich and engaging textbook that covers all of the important aspects of learning to become an effective secondary mathematics teacher. The second edition of this text ... is further enhanced with updated references to the Australian Curriculum, NAPLAN, STEM, current Indigenous, social justice and gender inequity issues, and the place of Australian mathematics curricula on the world stage.' Dr Christine Ormond, Senior Lecturer, Edith Cowan University

Windows On Teaching Math

Author : Katherine Klippert Merseth
ISBN : 9780807742785
Genre : Education
File Size : 39. 30 MB
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A practical hands-on guide to improving the teaching of mathematics. Provides a collection of cases that blend important mathematics content with the real complexities of school and classroom life.

Learning To Teach Mathematics In The Secondary School

Author : Sue Johnston-Wilder
ISBN : 0415162807
Genre : Education
File Size : 25. 53 MB
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This text covers a wide range of issues in the teaching of mathematics and importantly, provides supporting activities to the student to enable them to translate theory into practice.

Students And Teachers Values Attitudes Feelings And Beliefs In Mathematics Classrooms

Author : Hanna Palmér
ISBN : 9783319702445
Genre : Education
File Size : 71. 93 MB
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This contributed volume is an exciting product of the 22nd MAVI conference, which presents cutting-edge research on affective issues in teaching and learning math. The teaching and learning of mathematics is highly dependent on students’ and teachers’ values, attitudes, feelings, beliefs and motivations towards mathematics and mathematics education. These peer-reviewed contributions provide critical insights through their theoretically and methodologically diverse analyses of relevant issues related to affective factors in teaching and learning math and offer new tools and strategies by which to evaluate affective factors in students’ and teachers’ mathematical activities in the classroom. Among the topics discussed: The relationship between proxies for learning and mathematically related beliefs. Teaching for entrepreneurial and mathematical competences. Prospective teachers’ conceptions of the concepts mean, median, and mode. Prospective teachers’ approach to reasoning and proof The impact of assessment on students’ experiences of mathematics. Through its thematic connections to teacher education, professional development, assessment, entrepreneurial competences, and reasoning and proof, Students' and Teachers' Values, Attitudes, Feelings and Beliefs in Mathematics Classrooms proves to be a valuable resource for educators, practitioners, and students for applications at primary, secondary, and university levels.

Research Trends In Mathematics Teacher Education

Author : Jane-Jane Lo
ISBN : 9783319025629
Genre : Education
File Size : 67. 78 MB
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Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching. Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers’ learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to student learning) and illustrate how knowledge can be accessed, assessed, and nurtured over the course of a teaching career. Commentaries provide context for current research while identifying areas deserving future study. Included among the topics: Teachers’ curricular knowledge Teachers’ personal and classroom mathematics Teachers’ learning journeys toward reasoning and sense-making Teachers’ transitions in noticing Teachers’ uses of a learning trajectory as a tool for mathematics lesson planning A unique and timely set of perspectives on the professional development of mathematics teachers at all stages of their careers, Research Trends in Mathematics Teacher Education brings clarity and practical advice to researchers as well as practitioners in this increasingly critical arena.

Mathematical Reasoning For Elementary Teachers

Author : Calvin Long
ISBN : 9780321915436
Genre : Mathematics
File Size : 83. 48 MB
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Long/DeTemple/Millman’s Mathematical Reasoning for Elementary Teachers presents the mathematical content needed for teaching within the context of the elementary classroom, giving future teachers the motivation they need while also showing them the bigger picture of when they will use and teach the concepts. The program endeavors to answer the frequently-asked question “Why are we learning this?” by going beyond skill explanations and showing the ways that these concepts are implemented in the future classroom and what types of questions children may ask. Now updated to include the Common Core State Standards for Mathematics, the text imparts mathematical reasoning skills, a deep conceptual understanding, and a positive attitude to those who aspire to be elementary or middle school teachers. This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. ALERT: Before you purchase, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products. Packages Access codes for Pearson's MyLab & Mastering products may not be included when purchasing or renting from companies other than Pearson; check with the seller before completing your purchase. Used or rental books If you rent or purchase a used book with an access code, the access code may have been redeemed previously and you may have to purchase a new access code. Access codes Access codes that are purchased from sellers other than Pearson carry a higher risk of being either the wrong ISBN or a previously redeemed code. Check with the seller prior to purchase.

Reasoning Communication And Connections In Mathematics

Author : Berinderjeet Kaur
ISBN : 9789814405447
Genre : Mathematics
File Size : 79. 24 MB
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This fourth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Reasoning, Communication and Connections in Mathematics is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reasoning, communication and connections in mathematics classrooms. Several renowned international researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three major themes: mathematical tasks, classroom discourse, and connectivity within and beyond mathematics, shape the ideas underpinning reasoning, communication and connections in these chapters. The book makes a significant contribution towards mathematical processes essential for learners of mathematics. It is a good resource for mathematics educators and research students. Contents:Reasoning, Communication and Connections in Mathematics: An Introduction (Berinderjeet KAUR and TOH Tin Lam)The Epistemic Framing of Mathematical Tasks in Secondary Three Mathematics Lessons in Singapore (Ridzuan Abdul RAHIM, David HOGAN and Melvin CHAN)Modifying Textbook Exercises to Incorporate Reasoning and Communication into the Primary Mathematics Classroom (Denisse R THOMPSON)Some “What” Strategies that Advance Reasoning and Communication in Primary Mathematics Classrooms (Berinderjeet KAUR)Reasoning and Justification in the Secondary Mathematics Classroom (Denisse R THOMPSON)LOGO Project-Based Mathematics Learning for Communication, Reasoning and Connection (Hee-Chan LEW and In-Ok JANG)Reasoning, Communication and Connections in A-Level Mathematics (TOH Tin Lam)Visual and Spatial Reasoning: The Changing Form of Mathematics Representation and Communication (Tom LOWRIE)Understanding Classroom Talk in Secondary Three Mathematics Classes in Singapore (David HOGAN, Ridzuan Abdul RAHIM, Melvin CHAN, Dennis KWEK and Philip TOWNDROW)Mathematics Classroom Discourse Through Analogical Reasoning (Kyeong-Hwa LEE)Students' Reasoning Errors in Writing Proof by Mathematical Induction (Alwyn Wai-Kit PANG and Jaguthsing DINDYAL)Presenting Mathematics as Connected in the Secondary Classroom (LEONG Yew Hoong)Numeracy: Connecting Mathematics (Barry KISSANE)Making Connections Between School Mathematics and the Everyday World: The Example of Health (Marian KEMP)Mathematics, Astronomy and Culture: Helping Students See Connections (Helmer ASLAKSEN) Readership: Mathematics educators and teachers, research students. Keywords:Mathematics;Reasoning;Communication;Connections;Curriculum;Primary;Secondary

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