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The Learning and Teaching of Algebra: Ideas, Insights and Activities Paperback

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Specificaties

Objectstaat
Heel goed: Een boek dat er niet als nieuw uitziet en is gelezen, maar zich in uitstekende staat ...
Binding
TP
EAN
9780415743723
ISBN
0415743729
Subject Area
Algebra
Book Title
The Learning and Teaching of Algebra: Ideas, Insig
Educational Level
High School, Adult & Further Education
Level
Intermediate, Advanced, Proficiency
Country/Region of Manufacture
United States
Subject
Teaching
Publication Name
Learning and Teaching of Algebra : Ideas, Insights and Activities
Item Length
9.2in
Publisher
Routledge
Publication Year
2016
Series
Impact: Interweaving Mathematics Pedagogy and Content for Teaching Ser.
Type
Textbook
Format
Trade Paperback
Language
English
Item Height
0.4in
Author
Paul Drijvers, Kaye Stacey, Abraham Arcavi
Item Width
6.2in
Item Weight
8 Oz
Number of Pages
144 Pages

Over dit product

Product Information

The purpose of this book is to provide the reader with both a practical and research-informed introduction to the main issues in school algebra education which nowadays remains one of the core challenges of mathematics education in general. The book will enable readers to: identify and emphasize the big ideas of algebra; imbue teaching with a sense of purpose (why algebra? what is it for? In which ways does it empower to better understand real world situations and solve interesting problems?); understand how students think about algebra and design lessons accordingly; critically pursue assessment tools; use technology for algebra learning.

Product Identifiers

Publisher
Routledge
ISBN-10
0415743729
ISBN-13
9780415743723
eBay Product ID (ePID)
220317887

Product Key Features

Author
Paul Drijvers, Kaye Stacey, Abraham Arcavi
Publication Name
Learning and Teaching of Algebra : Ideas, Insights and Activities
Format
Trade Paperback
Language
English
Publication Year
2016
Series
Impact: Interweaving Mathematics Pedagogy and Content for Teaching Ser.
Type
Textbook
Number of Pages
144 Pages

Dimensions

Item Length
9.2in
Item Height
0.4in
Item Width
6.2in
Item Weight
8 Oz

Additional Product Features

Lc Classification Number
Qa159
Reviews
"The book makes a valuable contribution to the existing literature in terms of the teaching and learning of algebra. At the same time it is different, in various ways: one of the differences is that it has been co-authored by three authors, rather than edited, which provides the reader with a more coherent reading."--Birgit Pepin, Nieuw Archief voor Wiskunde (Dutch Journal of the Royal Mathematics Society), "The book makes a valuable contribution to the existing literature in terms of the teaching and learning of algebra. At the same time it is different, in various ways: one of the differences is that it has been co-authored by three authors, rather than edited, which provides the reader with a more coherent reading."-- Birgit Pepin, Nieuw Archief voor Wiskunde (Dutch Journal of the Royal Mathematics Society)
Table of Content
Preface 1. Algebra - Setting the scene 1.1 Introduction 1.2 Algebra - Aims, actions and entities 1.2.1 Aims 1.2.2 Actions 1.2.3 Entities 1.3 Why Algebra? 1.4 Chapter Summary 1.5 Thinking further 1.6 References 2. Some lessons from history 2.1 Introduction 2.2 Linear equations in ancient Egypt 2.3 Quadratic equations in ancient Babylonia 2.4 A geometric view of algebra from Arabic mathematics 2.5 Beyond solving equations: The emergence of algebra in Europe 2.5.1 Some algebraic rules and their explanation 2.5.2 Negative numbers 2.6 Chapter summary 2.7 Thinking further 2.8 References 3. Seeing algebra through the eyes of a learner 3.1 Introduction - putting on teachers' bifocal spectacles 3.2 What do algebraic letters represent? 3.2.1 Fruit salad algebra - misleading teaching with long term consequences 3.3 The process-object duality 3.4 The meaning of the equals sign 3.5 Algebra for recording and revealing mathematical structure 3.6 Transitions from arithmetic to algebra 3.6.1 Contrasting arithmetic and algebraic problem solving 3.6.2 Fundamental ideas of equation solving 3.6.3 Algebra and creativity 3.7 The procedures of equation solving 3.7.1 Process-object distinction in solving simultaneous equations 3.8 Functions as processes and objects 3.9 Chapter Summary 3.10 Thinking Further 3.11 References Chapter 4: Emphases in algebra teaching 4.1 Introduction 4.2 Teaching algebra in context 4.3 Productive practice 4.4 The reconciliation of routine and insight 4.5 Exploiting student mistakes 4.6 Proofs in algebra teaching 4.7 Chapter summary 4.8 Thinking further 4.9 References 5. Algebra education in the digital era 5.1 Introduction 5.2 Digital tools for algebra 5.2.1 Algebraic functionality of digital tools 5.2.2 Pedagogical roles of digital tools for algebra 5.3 Core algebra entities with digital means 5.3.1 Variable 5.3.2 Equation and equivalence 5.3.3 Function 5.4 Teaching and learning algebra with digital means 5.5 Chapter summary 5.6 Thinking further 5.7 References Epilogue
Copyright Date
2017
Target Audience
College Audience
Topic
Secondary, General, Algebra / General, Teaching Methods & Materials / Mathematics
Lccn
2016-005953
Dewey Decimal
512.9071
Dewey Edition
23
Illustrated
Yes
Genre
Education, Mathematics

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