Children's reasoning while building fraction ideas /:
This book may be used for research, graduate and undergraduate teacher education, and teacher development. It presents an integrated set of studies of a heterogeneously grouped class of twenty-one nine-year olds, engaged in exploring fraction ideas prior to classroom instruction under conditions tha...
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Rotterdam, The Netherlands :
Sense Publishers,
[2017]
|
| Schriftenreihe: | Mathematics teaching and learning ;
v. 3. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book may be used for research, graduate and undergraduate teacher education, and teacher development. It presents an integrated set of studies of a heterogeneously grouped class of twenty-one nine-year olds, engaged in exploring fraction ideas prior to classroom instruction under conditions that supported investigation, collaboration and argumentation. It demonstrates with text and video narrative how young children can reason about mathematics in surprisingly sophisticated ways when provided the opportunity to do so in the proper classroom environment. In this volume, fourth grade students' reasoning about fraction concepts is described through careful analysis and accompanying video excerpts showcasing the variety and originality of their thinking. These children will serve as an inspiration for educators to encourage the development of reasoning and argumentation in their students as part of a mathematics curriculum designed to produce critical thinkers. |
| Beschreibung: | 1 online resource (xvi, 221 pages) : illustrations (chiefly color) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789463510080 9463510087 |
Internformat
MARC
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| 245 | 0 | 0 | |a Children's reasoning while building fraction ideas / |c edited by Carolyn A. Maher (Rutgers University, USA) and Dina Yankelewitz (Pearson Education, USA). |
| 264 | 1 | |a Rotterdam, The Netherlands : |b Sense Publishers, |c [2017] | |
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| 490 | 1 | |a Mathematics teaching and learning ; |v volume 3 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t Preliminary Material / |r Carolyn A. Maher and Dina Yankelewitz -- |t The Experiment / |r Carolyn A. Maher and Dina Yankelewitz -- |t Establishing A Mathematical Community / |r Miriam Gerstein -- |t A Problem With No Solution / |r Dina Yankelewitz and Esther Winter -- |t Designing A New Rod / |r Dina Yankelewitz and Miriam Gerstein -- |t Reasoning by Cases While Exploring Fractions as Numbers / |r Esther Winter and Dina Yankelewitz -- |t Developing the Foundation for Proportional Reasoning / |r Esther Winter -- |t Establishing the Importance of the Unit / |r Cheryl K. Van Ness and Alice S. Alston -- |t Switching the Unit / |r Alice S. Alston and Cheryl K. Van Ness -- |t Justifying the Choice of the Unit / |r Cheryl K. Van Ness and Alice S. Alston -- |t Determining Fraction Equivalence / |r Miriam Gerstein and Dina Yankelewitz -- |t Using Reasoning to Resolve Conjectures / |r Suzanne Reynolds and Elizabeth B. Uptegrove -- |t The Development of Upper and Lower Bounds Arguments While Comparing Fractions / |r Dina Yankelewitz and Esther Winter -- |t Using Generic Reasoning to Compare Fractions / |r Dina Yankelewitz -- |t Recursive Reasoning / |r Dina Yankelewitz and Baila Salb -- |t From Rod Models To Line Segments / |r Suzanna Schmeelk -- |t Students' Argumentation About Ahe Density Of Fractions / |r Cheryl K. Van Ness -- |t Comparing And Ordering Fractions / |r Kenneth Horwitz and Suzanna Schmeelk -- |t Extending Fraction Placement From Segments To A Number Line / |r Kenneth Horwitz -- |t Epilogue / |r Carolyn A. Maher , Alice S. Alston and Dina Yankelewitz -- |t Fraction Tasks And Activities By Chapter / |r Carolyn A. Maher and Dina Yankelewitz -- |t Fraction Dissertations From The Colts Neck Intervention / |r Carolyn A. Maher and Dina Yankelewitz -- |t Video Narratives By Chapter And Author(s) / |r Carolyn A. Maher and Dina Yankelewitz -- |t Index / |r Carolyn A. Maher and Dina Yankelewitz. |
| 520 | |a This book may be used for research, graduate and undergraduate teacher education, and teacher development. It presents an integrated set of studies of a heterogeneously grouped class of twenty-one nine-year olds, engaged in exploring fraction ideas prior to classroom instruction under conditions that supported investigation, collaboration and argumentation. It demonstrates with text and video narrative how young children can reason about mathematics in surprisingly sophisticated ways when provided the opportunity to do so in the proper classroom environment. In this volume, fourth grade students' reasoning about fraction concepts is described through careful analysis and accompanying video excerpts showcasing the variety and originality of their thinking. These children will serve as an inspiration for educators to encourage the development of reasoning and argumentation in their students as part of a mathematics curriculum designed to produce critical thinkers. | ||
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| 700 | 1 | |a Maher, Carolyn Alexander, |e editor. | |
| 700 | 1 | |a Yankelewitz, Dina, |e editor. | |
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|---|---|
| _version_ | 1804635793343381504 |
| adam_text | |
| any_adam_object | |
| author2 | Maher, Carolyn Alexander Yankelewitz, Dina |
| author2_role | edt edt |
| author2_variant | c a m ca cam d y dy |
| author_additional | Carolyn A. Maher and Dina Yankelewitz -- Miriam Gerstein -- Dina Yankelewitz and Esther Winter -- Dina Yankelewitz and Miriam Gerstein -- Esther Winter and Dina Yankelewitz -- Esther Winter -- Cheryl K. Van Ness and Alice S. Alston -- Alice S. Alston and Cheryl K. Van Ness -- Miriam Gerstein and Dina Yankelewitz -- Suzanne Reynolds and Elizabeth B. Uptegrove -- Dina Yankelewitz -- Dina Yankelewitz and Baila Salb -- Suzanna Schmeelk -- Cheryl K. Van Ness -- Kenneth Horwitz and Suzanna Schmeelk -- Kenneth Horwitz -- Carolyn A. Maher , Alice S. Alston and Dina Yankelewitz -- Carolyn A. Maher and Dina Yankelewitz. |
| author_facet | Maher, Carolyn Alexander Yankelewitz, Dina |
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| callnumber-search | QA137 .C455 2017 |
| callnumber-sort | QA 3137 C455 42017 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EDU |
| contents | Preliminary Material / The Experiment / Establishing A Mathematical Community / A Problem With No Solution / Designing A New Rod / Reasoning by Cases While Exploring Fractions as Numbers / Developing the Foundation for Proportional Reasoning / Establishing the Importance of the Unit / Switching the Unit / Justifying the Choice of the Unit / Determining Fraction Equivalence / Using Reasoning to Resolve Conjectures / The Development of Upper and Lower Bounds Arguments While Comparing Fractions / Using Generic Reasoning to Compare Fractions / Recursive Reasoning / From Rod Models To Line Segments / Students' Argumentation About Ahe Density Of Fractions / Comparing And Ordering Fractions / Extending Fraction Placement From Segments To A Number Line / Epilogue / Fraction Tasks And Activities By Chapter / Fraction Dissertations From The Colts Neck Intervention / Video Narratives By Chapter And Author(s) / Index / |
| ctrlnum | (OCoLC)995130619 |
| dewey-full | 372.7/2 |
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| dewey-ones | 372 - Primary education (Elementary education) |
| dewey-raw | 372.7/2 |
| dewey-search | 372.7/2 |
| dewey-sort | 3372.7 12 |
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| discipline | Pädagogik |
| format | Electronic eBook |
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| id | ZDB-4-EDU-ocn995130619 |
| illustrated | Illustrated |
| indexdate | 2024-07-15T09:13:26Z |
| institution | BVB |
| isbn | 9789463510080 9463510087 |
| language | English |
| oclc_num | 995130619 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xvi, 221 pages) : illustrations (chiefly color) |
| psigel | ZDB-4-EDU |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | Sense Publishers, |
| record_format | marc |
| series | Mathematics teaching and learning ; |
| series2 | Mathematics teaching and learning ; |
| spelling | Children's reasoning while building fraction ideas / edited by Carolyn A. Maher (Rutgers University, USA) and Dina Yankelewitz (Pearson Education, USA). Rotterdam, The Netherlands : Sense Publishers, [2017] ©2017 1 online resource (xvi, 221 pages) : illustrations (chiefly color) text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematics teaching and learning ; volume 3 Includes bibliographical references and index. Print version record. Preliminary Material / Carolyn A. Maher and Dina Yankelewitz -- The Experiment / Carolyn A. Maher and Dina Yankelewitz -- Establishing A Mathematical Community / Miriam Gerstein -- A Problem With No Solution / Dina Yankelewitz and Esther Winter -- Designing A New Rod / Dina Yankelewitz and Miriam Gerstein -- Reasoning by Cases While Exploring Fractions as Numbers / Esther Winter and Dina Yankelewitz -- Developing the Foundation for Proportional Reasoning / Esther Winter -- Establishing the Importance of the Unit / Cheryl K. Van Ness and Alice S. Alston -- Switching the Unit / Alice S. Alston and Cheryl K. Van Ness -- Justifying the Choice of the Unit / Cheryl K. Van Ness and Alice S. Alston -- Determining Fraction Equivalence / Miriam Gerstein and Dina Yankelewitz -- Using Reasoning to Resolve Conjectures / Suzanne Reynolds and Elizabeth B. Uptegrove -- The Development of Upper and Lower Bounds Arguments While Comparing Fractions / Dina Yankelewitz and Esther Winter -- Using Generic Reasoning to Compare Fractions / Dina Yankelewitz -- Recursive Reasoning / Dina Yankelewitz and Baila Salb -- From Rod Models To Line Segments / Suzanna Schmeelk -- Students' Argumentation About Ahe Density Of Fractions / Cheryl K. Van Ness -- Comparing And Ordering Fractions / Kenneth Horwitz and Suzanna Schmeelk -- Extending Fraction Placement From Segments To A Number Line / Kenneth Horwitz -- Epilogue / Carolyn A. Maher , Alice S. Alston and Dina Yankelewitz -- Fraction Tasks And Activities By Chapter / Carolyn A. Maher and Dina Yankelewitz -- Fraction Dissertations From The Colts Neck Intervention / Carolyn A. Maher and Dina Yankelewitz -- Video Narratives By Chapter And Author(s) / Carolyn A. Maher and Dina Yankelewitz -- Index / Carolyn A. Maher and Dina Yankelewitz. This book may be used for research, graduate and undergraduate teacher education, and teacher development. It presents an integrated set of studies of a heterogeneously grouped class of twenty-one nine-year olds, engaged in exploring fraction ideas prior to classroom instruction under conditions that supported investigation, collaboration and argumentation. It demonstrates with text and video narrative how young children can reason about mathematics in surprisingly sophisticated ways when provided the opportunity to do so in the proper classroom environment. In this volume, fourth grade students' reasoning about fraction concepts is described through careful analysis and accompanying video excerpts showcasing the variety and originality of their thinking. These children will serve as an inspiration for educators to encourage the development of reasoning and argumentation in their students as part of a mathematics curriculum designed to produce critical thinkers. Fractions Study and teaching (Elementary) Mathematics Study and teaching (Elementary) http://id.loc.gov/authorities/subjects/sh85082163 Fractions Étude et enseignement (Primaire) EDUCATION Elementary. bisacsh Fractions Study and teaching (Elementary) fast Mathematics Study and teaching (Elementary) fast Maher, Carolyn Alexander, editor. Yankelewitz, Dina, editor. Print version: Children's reasoning while building fraction ideas. Rotterdam, The Netherlands : Sense Publishers, [2017] 9789463510066 9463510060 Mathematics teaching and learning ; v. 3. http://id.loc.gov/authorities/names/no2013102121 FWS01 ZDB-4-EDU FWS_PDA_EDU https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1533092 Volltext |
| spellingShingle | Children's reasoning while building fraction ideas / Mathematics teaching and learning ; Preliminary Material / The Experiment / Establishing A Mathematical Community / A Problem With No Solution / Designing A New Rod / Reasoning by Cases While Exploring Fractions as Numbers / Developing the Foundation for Proportional Reasoning / Establishing the Importance of the Unit / Switching the Unit / Justifying the Choice of the Unit / Determining Fraction Equivalence / Using Reasoning to Resolve Conjectures / The Development of Upper and Lower Bounds Arguments While Comparing Fractions / Using Generic Reasoning to Compare Fractions / Recursive Reasoning / From Rod Models To Line Segments / Students' Argumentation About Ahe Density Of Fractions / Comparing And Ordering Fractions / Extending Fraction Placement From Segments To A Number Line / Epilogue / Fraction Tasks And Activities By Chapter / Fraction Dissertations From The Colts Neck Intervention / Video Narratives By Chapter And Author(s) / Index / Fractions Study and teaching (Elementary) Mathematics Study and teaching (Elementary) http://id.loc.gov/authorities/subjects/sh85082163 Fractions Étude et enseignement (Primaire) EDUCATION Elementary. bisacsh Fractions Study and teaching (Elementary) fast Mathematics Study and teaching (Elementary) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082163 |
| title | Children's reasoning while building fraction ideas / |
| title_alt | Preliminary Material / The Experiment / Establishing A Mathematical Community / A Problem With No Solution / Designing A New Rod / Reasoning by Cases While Exploring Fractions as Numbers / Developing the Foundation for Proportional Reasoning / Establishing the Importance of the Unit / Switching the Unit / Justifying the Choice of the Unit / Determining Fraction Equivalence / Using Reasoning to Resolve Conjectures / The Development of Upper and Lower Bounds Arguments While Comparing Fractions / Using Generic Reasoning to Compare Fractions / Recursive Reasoning / From Rod Models To Line Segments / Students' Argumentation About Ahe Density Of Fractions / Comparing And Ordering Fractions / Extending Fraction Placement From Segments To A Number Line / Epilogue / Fraction Tasks And Activities By Chapter / Fraction Dissertations From The Colts Neck Intervention / Video Narratives By Chapter And Author(s) / Index / |
| title_auth | Children's reasoning while building fraction ideas / |
| title_exact_search | Children's reasoning while building fraction ideas / |
| title_full | Children's reasoning while building fraction ideas / edited by Carolyn A. Maher (Rutgers University, USA) and Dina Yankelewitz (Pearson Education, USA). |
| title_fullStr | Children's reasoning while building fraction ideas / edited by Carolyn A. Maher (Rutgers University, USA) and Dina Yankelewitz (Pearson Education, USA). |
| title_full_unstemmed | Children's reasoning while building fraction ideas / edited by Carolyn A. Maher (Rutgers University, USA) and Dina Yankelewitz (Pearson Education, USA). |
| title_short | Children's reasoning while building fraction ideas / |
| title_sort | children s reasoning while building fraction ideas |
| topic | Fractions Study and teaching (Elementary) Mathematics Study and teaching (Elementary) http://id.loc.gov/authorities/subjects/sh85082163 Fractions Étude et enseignement (Primaire) EDUCATION Elementary. bisacsh Fractions Study and teaching (Elementary) fast Mathematics Study and teaching (Elementary) fast |
| topic_facet | Fractions Study and teaching (Elementary) Mathematics Study and teaching (Elementary) Fractions Étude et enseignement (Primaire) EDUCATION Elementary. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1533092 |
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