Understanding and Enriching Problem Solving in Primary Mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Northwich
Critical Publishing
2014
|
| Schriftenreihe: | Critical Teaching
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 |
| Beschreibung: | Examples of mathematical modelling activities Cover; Half-title; Title page; Copyright information; Table of contents; Acknowledgements; Meet the authors; 1 Introduction; Introduction; Why now?; A short 30-year history of problem solving in the UK; The Cockroft report; The national curriculum; The present day; Primary teachers' experiences with problem solving; How this book is organised; Taking it further; 2 What is problem solving?; Introduction; What is a 'problem'?; When is a problem not a problem?; Types of problems; Word problems; Finding all possibilities; Logic puzzles; Finding rules and describing patterns Diagrams/visual problemsThe problem-solving process; Problem solving in the primary classroom: examples from practice; Monitoring problem solving in schools; Difficulties with problem solving -- more than 'the problem'; Supporting children with difficulties in problem solving; Incorporating problem solving in the classroom; Broader links to using and applying; Taking it further; 3 Representing problems; Introduction; Understanding the problem; Gestalt view of problem solving; The idea of representations; How do representations help?; The process of representing problems Examples -- isomorphic problemsThe role of prior knowledge; The benefits of prior knowledge; The drawbacks of prior knowledge; Language as a representation; Specialised use of language in mathematics; Children with English as an additional language; Supporting children with language; The role of discussion; Representing the problem -- the classroom perspective; Taking it further; 4 Reasoning with problems; Introduction; What do we mean by thinking or reasoning mathematically?; What makes thinking mathematical?; Perspectives on mathematical thinking; Thinking about our thinking Metacognition and self-regulationDeveloping metacognition; Reasoning with problems: the classroom perspective; Taking it further; 5 Creativity and problem solving; Introduction; What then is creativity?; Creativity and problem solving; Problem posing as creativity; Problem posing by children; Problem posing by the teacher; Posing completely new problems; Creativity as an indicator of mathematical ability; Creativity and understanding; Fostering creativity in the mathematics classroom; Fluency, flexibility and originality; Developing creative thinking; Developing metacognition and reflection Taking it further6 Assessing problem solving; Introduction; The difficulty of assessing problem solving; Assessing the problem-solving process; Using the SOLO taxonomy; Assessing creativity; Assessing metacognition; Using the processes of problem solving; Assessment of problem solving in curriculum materials; Reformulating attainment levels by processes; Further considerations from the classroom; Taking it further; 7 Open approaches to mathematics; Introduction; Investigations; The important role of problem posing in investigations; Open approaches to mathematics; Mathematical modelling Essential reading for all those teaching or training to teach primary mathematics, tackling the knowledge and skills required to successfully teach the tricky area of problem solving Includes bibliographical references (pages 126-131) and index |
| Beschreibung: | 144 pages |
| ISBN: | 9781909330726 1909330728 1322220174 9781322220178 |
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| 245 | 1 | 0 | |a Understanding and Enriching Problem Solving in Primary Mathematics |
| 264 | 1 | |a Northwich |b Critical Publishing |c 2014 | |
| 300 | |a 144 pages | ||
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| 500 | |a Cover; Half-title; Title page; Copyright information; Table of contents; Acknowledgements; Meet the authors; 1 Introduction; Introduction; Why now?; A short 30-year history of problem solving in the UK; The Cockroft report; The national curriculum; The present day; Primary teachers' experiences with problem solving; How this book is organised; Taking it further; 2 What is problem solving?; Introduction; What is a 'problem'?; When is a problem not a problem?; Types of problems; Word problems; Finding all possibilities; Logic puzzles; Finding rules and describing patterns | ||
| 500 | |a Diagrams/visual problemsThe problem-solving process; Problem solving in the primary classroom: examples from practice; Monitoring problem solving in schools; Difficulties with problem solving -- more than 'the problem'; Supporting children with difficulties in problem solving; Incorporating problem solving in the classroom; Broader links to using and applying; Taking it further; 3 Representing problems; Introduction; Understanding the problem; Gestalt view of problem solving; The idea of representations; How do representations help?; The process of representing problems | ||
| 500 | |a Examples -- isomorphic problemsThe role of prior knowledge; The benefits of prior knowledge; The drawbacks of prior knowledge; Language as a representation; Specialised use of language in mathematics; Children with English as an additional language; Supporting children with language; The role of discussion; Representing the problem -- the classroom perspective; Taking it further; 4 Reasoning with problems; Introduction; What do we mean by thinking or reasoning mathematically?; What makes thinking mathematical?; Perspectives on mathematical thinking; Thinking about our thinking | ||
| 500 | |a Metacognition and self-regulationDeveloping metacognition; Reasoning with problems: the classroom perspective; Taking it further; 5 Creativity and problem solving; Introduction; What then is creativity?; Creativity and problem solving; Problem posing as creativity; Problem posing by children; Problem posing by the teacher; Posing completely new problems; Creativity as an indicator of mathematical ability; Creativity and understanding; Fostering creativity in the mathematics classroom; Fluency, flexibility and originality; Developing creative thinking; Developing metacognition and reflection | ||
| 500 | |a Taking it further6 Assessing problem solving; Introduction; The difficulty of assessing problem solving; Assessing the problem-solving process; Using the SOLO taxonomy; Assessing creativity; Assessing metacognition; Using the processes of problem solving; Assessment of problem solving in curriculum materials; Reformulating attainment levels by processes; Further considerations from the classroom; Taking it further; 7 Open approaches to mathematics; Introduction; Investigations; The important role of problem posing in investigations; Open approaches to mathematics; Mathematical modelling | ||
| 500 | |a Essential reading for all those teaching or training to teach primary mathematics, tackling the knowledge and skills required to successfully teach the tricky area of problem solving | ||
| 500 | |a Includes bibliographical references (pages 126-131) and index | ||
| 650 | 4 | |a Mathematics / Study and teaching (Primary) | |
| 650 | 4 | |a Number concept / Study and teaching (Primary) | |
| 650 | 4 | |a Problem solving / Study and teaching (Primary) | |
| 650 | 7 | |a EDUCATION / Elementary |2 bisacsh | |
| 650 | 7 | |a Mathematics / Study and teaching (Primary) |2 fast | |
| 650 | 7 | |a Problem solving / Study and teaching (Primary) |2 fast | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics |x Study and teaching (Primary) | |
| 650 | 4 | |a Problem solving |x Study and teaching (Primary) | |
| 700 | 1 | |a Bolden, David |e Sonstige |4 oth | |
| 700 | 1 | |a Thompson, Lynn |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| author | Barmby, Patrick |
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| dewey-full | 372.7 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 372 - Primary education (Elementary education) |
| dewey-raw | 372.7 |
| dewey-search | 372.7 |
| dewey-sort | 3372.7 |
| dewey-tens | 370 - Education |
| discipline | Pädagogik |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:34:52Z |
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| isbn | 9781909330726 1909330728 1322220174 9781322220178 |
| language | English |
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| spelling | Barmby, Patrick Verfasser aut Understanding and Enriching Problem Solving in Primary Mathematics Northwich Critical Publishing 2014 144 pages txt rdacontent c rdamedia cr rdacarrier Critical Teaching Examples of mathematical modelling activities Cover; Half-title; Title page; Copyright information; Table of contents; Acknowledgements; Meet the authors; 1 Introduction; Introduction; Why now?; A short 30-year history of problem solving in the UK; The Cockroft report; The national curriculum; The present day; Primary teachers' experiences with problem solving; How this book is organised; Taking it further; 2 What is problem solving?; Introduction; What is a 'problem'?; When is a problem not a problem?; Types of problems; Word problems; Finding all possibilities; Logic puzzles; Finding rules and describing patterns Diagrams/visual problemsThe problem-solving process; Problem solving in the primary classroom: examples from practice; Monitoring problem solving in schools; Difficulties with problem solving -- more than 'the problem'; Supporting children with difficulties in problem solving; Incorporating problem solving in the classroom; Broader links to using and applying; Taking it further; 3 Representing problems; Introduction; Understanding the problem; Gestalt view of problem solving; The idea of representations; How do representations help?; The process of representing problems Examples -- isomorphic problemsThe role of prior knowledge; The benefits of prior knowledge; The drawbacks of prior knowledge; Language as a representation; Specialised use of language in mathematics; Children with English as an additional language; Supporting children with language; The role of discussion; Representing the problem -- the classroom perspective; Taking it further; 4 Reasoning with problems; Introduction; What do we mean by thinking or reasoning mathematically?; What makes thinking mathematical?; Perspectives on mathematical thinking; Thinking about our thinking Metacognition and self-regulationDeveloping metacognition; Reasoning with problems: the classroom perspective; Taking it further; 5 Creativity and problem solving; Introduction; What then is creativity?; Creativity and problem solving; Problem posing as creativity; Problem posing by children; Problem posing by the teacher; Posing completely new problems; Creativity as an indicator of mathematical ability; Creativity and understanding; Fostering creativity in the mathematics classroom; Fluency, flexibility and originality; Developing creative thinking; Developing metacognition and reflection Taking it further6 Assessing problem solving; Introduction; The difficulty of assessing problem solving; Assessing the problem-solving process; Using the SOLO taxonomy; Assessing creativity; Assessing metacognition; Using the processes of problem solving; Assessment of problem solving in curriculum materials; Reformulating attainment levels by processes; Further considerations from the classroom; Taking it further; 7 Open approaches to mathematics; Introduction; Investigations; The important role of problem posing in investigations; Open approaches to mathematics; Mathematical modelling Essential reading for all those teaching or training to teach primary mathematics, tackling the knowledge and skills required to successfully teach the tricky area of problem solving Includes bibliographical references (pages 126-131) and index Mathematics / Study and teaching (Primary) Number concept / Study and teaching (Primary) Problem solving / Study and teaching (Primary) EDUCATION / Elementary bisacsh Mathematics / Study and teaching (Primary) fast Problem solving / Study and teaching (Primary) fast Mathematik Mathematics Study and teaching (Primary) Problem solving Study and teaching (Primary) Bolden, David Sonstige oth Thompson, Lynn Sonstige oth |
| spellingShingle | Barmby, Patrick Understanding and Enriching Problem Solving in Primary Mathematics Mathematics / Study and teaching (Primary) Number concept / Study and teaching (Primary) Problem solving / Study and teaching (Primary) EDUCATION / Elementary bisacsh Mathematics / Study and teaching (Primary) fast Problem solving / Study and teaching (Primary) fast Mathematik Mathematics Study and teaching (Primary) Problem solving Study and teaching (Primary) |
| title | Understanding and Enriching Problem Solving in Primary Mathematics |
| title_auth | Understanding and Enriching Problem Solving in Primary Mathematics |
| title_exact_search | Understanding and Enriching Problem Solving in Primary Mathematics |
| title_full | Understanding and Enriching Problem Solving in Primary Mathematics |
| title_fullStr | Understanding and Enriching Problem Solving in Primary Mathematics |
| title_full_unstemmed | Understanding and Enriching Problem Solving in Primary Mathematics |
| title_short | Understanding and Enriching Problem Solving in Primary Mathematics |
| title_sort | understanding and enriching problem solving in primary mathematics |
| topic | Mathematics / Study and teaching (Primary) Number concept / Study and teaching (Primary) Problem solving / Study and teaching (Primary) EDUCATION / Elementary bisacsh Mathematics / Study and teaching (Primary) fast Problem solving / Study and teaching (Primary) fast Mathematik Mathematics Study and teaching (Primary) Problem solving Study and teaching (Primary) |
| topic_facet | Mathematics / Study and teaching (Primary) Number concept / Study and teaching (Primary) Problem solving / Study and teaching (Primary) EDUCATION / Elementary Mathematik Mathematics Study and teaching (Primary) Problem solving Study and teaching (Primary) |
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