We reason & we prove for ALL mathematics: building students' critical thinking, grades 6-12
Sharpen concrete teaching strategies that empower students to reason-and-prove How do teachers and students benefit from engaging in reasoning-and-proving? What strategies can teachers use to support students' capacity to reason-and-prove? What does reasoning-and-proving instruction look like?...
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Thousand Oaks
Corwin
2018
|
| Schriftenreihe: | Corwin Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Sharpen concrete teaching strategies that empower students to reason-and-prove How do teachers and students benefit from engaging in reasoning-and-proving? What strategies can teachers use to support students' capacity to reason-and-prove? What does reasoning-and-proving instruction look like? We Reason & We Prove for ALL Mathematics helps mathematics teachers in grades 6--12 engage in the critical practice of reasoning-and-proving and support the development of reasoning-and-proving in their students. The phrase "reasoning-and-proving" describes the processes of identifying patterns, making conjectures, and providing arguments that may or may not qualify as proofs-processes that reflect the work of mathematicians. Going beyond the idea of "formal proof" traditionally relegated only to geometry, this book transcends all mathematical content areas with a variety of activities for teachers to learn more about reasoning-and-proving and about how to support students' capacities to engage in this mathematical thinking through: Solving and discussing high-level mathematical tasks Analyzing narrative cases that make the relationship between teaching and learning salient Examining and interpreting student work that features a range of solution strategies, representations, and misconceptions Modifying tasks from curriculum materials so that they better support students to reason-and-prove Evaluating learning environments and making connections between key ideas about reasoning-and-proving and teaching strategies We Reason & We Prove for ALL Mathematics is designed as a learning tool for practicing and pre-service mathematics teachers and can be used individually or in a group. No other book tackles reasoning-and-proving with such breadth, depth, and practical applicability. Classroom examples, case studies, and sample problems help to sharpen concrete teaching strategies that empower students to reason-and-prove! |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource (250 Seiten) Illustrationen |
| ISBN: | 9781071800812 |
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| author | Arbaugh, Fran Smith, Margaret (Peg) Boyle, Justin Stylianides, Gabriel J. Steele, Michael |
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| dewey-full | 510.71/2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.71/2 |
| dewey-search | 510.71/2 |
| dewey-sort | 3510.71 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV046931771 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T15:34:47Z |
| indexdate | 2024-07-10T08:57:50Z |
| institution | BVB |
| isbn | 9781071800812 |
| language | English |
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| oclc_num | 1220898604 |
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| physical | 1 Online-Ressource (250 Seiten) Illustrationen |
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| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Corwin |
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| spelling | Arbaugh, Fran aut We reason & we prove for ALL mathematics building students' critical thinking, grades 6-12 Fran Arbaugh, Margaret (Peg) Smith, Justin Boyle, Gabriel J. Stylianides, & Michael Steele We reason and we prove for ALL mathematics Thousand Oaks Corwin 2018 1 Online-Ressource (250 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Corwin Mathematics Includes bibliographical references and index Sharpen concrete teaching strategies that empower students to reason-and-prove How do teachers and students benefit from engaging in reasoning-and-proving? What strategies can teachers use to support students' capacity to reason-and-prove? What does reasoning-and-proving instruction look like? We Reason & We Prove for ALL Mathematics helps mathematics teachers in grades 6--12 engage in the critical practice of reasoning-and-proving and support the development of reasoning-and-proving in their students. The phrase "reasoning-and-proving" describes the processes of identifying patterns, making conjectures, and providing arguments that may or may not qualify as proofs-processes that reflect the work of mathematicians. Going beyond the idea of "formal proof" traditionally relegated only to geometry, this book transcends all mathematical content areas with a variety of activities for teachers to learn more about reasoning-and-proving and about how to support students' capacities to engage in this mathematical thinking through: Solving and discussing high-level mathematical tasks Analyzing narrative cases that make the relationship between teaching and learning salient Examining and interpreting student work that features a range of solution strategies, representations, and misconceptions Modifying tasks from curriculum materials so that they better support students to reason-and-prove Evaluating learning environments and making connections between key ideas about reasoning-and-proving and teaching strategies We Reason & We Prove for ALL Mathematics is designed as a learning tool for practicing and pre-service mathematics teachers and can be used individually or in a group. No other book tackles reasoning-and-proving with such breadth, depth, and practical applicability. Classroom examples, case studies, and sample problems help to sharpen concrete teaching strategies that empower students to reason-and-prove! Mathematics / Study and teaching (Elementary) Mathematics / Study and teaching (Middle school) Mathematics / Study and teaching (Secondary) Curriculum planning Smith, Margaret (Peg) aut Boyle, Justin aut Stylianides, Gabriel J. aut Steele, Michael aut Erscheint auch als Druck-Ausgabe 9781506378190 https://sk.sagepub.com/books/we-reason-we-prove-for-all-mathematics Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Arbaugh, Fran Smith, Margaret (Peg) Boyle, Justin Stylianides, Gabriel J. Steele, Michael We reason & we prove for ALL mathematics building students' critical thinking, grades 6-12 Mathematics / Study and teaching (Elementary) Mathematics / Study and teaching (Middle school) Mathematics / Study and teaching (Secondary) Curriculum planning |
| title | We reason & we prove for ALL mathematics building students' critical thinking, grades 6-12 |
| title_alt | We reason and we prove for ALL mathematics |
| title_auth | We reason & we prove for ALL mathematics building students' critical thinking, grades 6-12 |
| title_exact_search | We reason & we prove for ALL mathematics building students' critical thinking, grades 6-12 |
| title_exact_search_txtP | We reason & we prove for ALL mathematics building students' critical thinking, grades 6-12 |
| title_full | We reason & we prove for ALL mathematics building students' critical thinking, grades 6-12 Fran Arbaugh, Margaret (Peg) Smith, Justin Boyle, Gabriel J. Stylianides, & Michael Steele |
| title_fullStr | We reason & we prove for ALL mathematics building students' critical thinking, grades 6-12 Fran Arbaugh, Margaret (Peg) Smith, Justin Boyle, Gabriel J. Stylianides, & Michael Steele |
| title_full_unstemmed | We reason & we prove for ALL mathematics building students' critical thinking, grades 6-12 Fran Arbaugh, Margaret (Peg) Smith, Justin Boyle, Gabriel J. Stylianides, & Michael Steele |
| title_short | We reason & we prove for ALL mathematics |
| title_sort | we reason we prove for all mathematics building students critical thinking grades 6 12 |
| title_sub | building students' critical thinking, grades 6-12 |
| topic | Mathematics / Study and teaching (Elementary) Mathematics / Study and teaching (Middle school) Mathematics / Study and teaching (Secondary) Curriculum planning |
| topic_facet | Mathematics / Study and teaching (Elementary) Mathematics / Study and teaching (Middle school) Mathematics / Study and teaching (Secondary) Curriculum planning |
| url | https://sk.sagepub.com/books/we-reason-we-prove-for-all-mathematics |
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