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Reasoning, communication and connections in mathematics [[electronic resource] ] : yearbook 2012 : Association of Mathematics Educators / / editors, Berinderjeet Kaur, Toh Tin Lam
| Reasoning, communication and connections in mathematics [[electronic resource] ] : yearbook 2012 : Association of Mathematics Educators / / editors, Berinderjeet Kaur, Toh Tin Lam |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (335 p.) |
| Disciplina |
382.01/5195
510.07 |
| Altri autori (Persone) |
KaurBerinderjeet <1955->
TohTin Lam |
| Soggetto topico |
Mathematics - Study and teaching
Reasoning - Study and teaching Communication - Study and teaching |
| ISBN | 981-4405-43-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Chapter 1 Reasoning, Communication and Connections in Mathematics: An Introduction Berinderjeet KAUR TOH Tin Lam; 1 Introduction; 2 Mathematical Tasks; 3 Classroom Discourse; 4 Connections Within and Beyond Mathematics; 4 Some Concluding Thoughts; References; Chapter 2 The Epistemic Framing of Mathematical Tasks in Secondary Three Mathematics Lessons in Singapore Ridzuan Abdul RAHIM David HOGAN Melvin CHAN; 1 Introduction; 2 Epistemic Framing 1: Knowledge Focus; 3 Epistemic Framing 2: Domain-Specific Knowledge Practices
4 Tying the Epistemic Knot: Structural Equation Models of Knowledge Focus and Knowledge Practices5 Conclusion; Acknowledgement; References; Chapter 3 Modifying Textbook Exercises to Incorporate Reasoning and Communication into the Primary Mathematics Classroom Denisse R. THOMPSON; 1 Introduction; 2 Reasoning and Communication as Essential Mathematical Processes; 3 Strategies for Modifying Textbook Exercises; 3.1 Reframe a basic problem by including one or more conditions; 3.2 Use relationships to find patterns or predict other results; 3.3 Generate conjectures for students to investigate 3.4 Encourage students to solve a problem in multiple ways3.5 Evaluate student solutions; 3.6 Write a question appropriate for a given answer; 3.7 Connect procedural and conceptual knowledge; 4 Conclusion; References; Chapter 4 Some "What" Strategies that Advance Reasoning and Communication in Primary Mathematics Classrooms Berinderjeet KAUR; 1 Mathematical Tasks; 2 "What..." Strategies; 2.1 What number makes sense?; 2.2 "What's wrong?"; 2.3 "What if?"; 2.4 "What's the question if you know the answer?"; 3 A Primary One Mathematics Lesson; 3.1 Objectives of the tasks 3.2 How the tasks were enacted3.3 Teacher's self-evaluation of her lesson; 4 Conclusion; Acknowledgement; References; Chapter 5 Reasoning and Justification in the Secondary Mathematics Classroom Denisse R. THOMPSON; 1 Introduction; 2 Importance of the Textbook in Providing Opportunities for Reasoning; 3 Aspects of Reasoning to Incorporate into the Curriculum; 3.1 Finding counter examples; 3.2 Investigating conjectures; 3.3 Making conjectures; 3.4 Developing arguments; 3.5 Evaluating arguments; 3.6 Correcting mistakes in reasoning; 4 Including Reasoning in Assessment; 5 Conclusion; References Chapter 6 LOGO Project-Based Mathematics Learning for Communication, Reasoning and Connection Hee-Chan LEW In-Ok JANG1 Introduction; 2 Characteristics of LOGO; 3 LOGO Project-Based Learning for the Elementary Students; 4 Some Results of the Pilot Lesson Study; 4.1 Planning and implementing strategies; Analogy; Generalization; Critical thinking; Progressive thinking; 4. 2 Debugging strategies; Visualization; Empirical inference; 5 Conclusion; References; Appendix A: Tasks Used in LOGO Project- Based Learning; Appendix B: One Final work of LOGO Project-Based Mathematics Learning Chapter 7 Reasoning, Communication and Connections in A-Level Mathematics TOH Tin Lam |
| Record Nr. | UNINA-9910779276103321 |
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reasoning, communication and connections in mathematics [[electronic resource] ] : yearbook 2012 : Association of Mathematics Educators / / editors, Berinderjeet Kaur, Toh Tin Lam
| Reasoning, communication and connections in mathematics [[electronic resource] ] : yearbook 2012 : Association of Mathematics Educators / / editors, Berinderjeet Kaur, Toh Tin Lam |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (335 p.) |
| Disciplina |
382.01/5195
510.07 |
| Altri autori (Persone) |
KaurBerinderjeet <1955->
TohTin Lam |
| Soggetto topico |
Mathematics - Study and teaching
Reasoning - Study and teaching Communication - Study and teaching |
| ISBN | 981-4405-43-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Chapter 1 Reasoning, Communication and Connections in Mathematics: An Introduction Berinderjeet KAUR TOH Tin Lam; 1 Introduction; 2 Mathematical Tasks; 3 Classroom Discourse; 4 Connections Within and Beyond Mathematics; 4 Some Concluding Thoughts; References; Chapter 2 The Epistemic Framing of Mathematical Tasks in Secondary Three Mathematics Lessons in Singapore Ridzuan Abdul RAHIM David HOGAN Melvin CHAN; 1 Introduction; 2 Epistemic Framing 1: Knowledge Focus; 3 Epistemic Framing 2: Domain-Specific Knowledge Practices
4 Tying the Epistemic Knot: Structural Equation Models of Knowledge Focus and Knowledge Practices5 Conclusion; Acknowledgement; References; Chapter 3 Modifying Textbook Exercises to Incorporate Reasoning and Communication into the Primary Mathematics Classroom Denisse R. THOMPSON; 1 Introduction; 2 Reasoning and Communication as Essential Mathematical Processes; 3 Strategies for Modifying Textbook Exercises; 3.1 Reframe a basic problem by including one or more conditions; 3.2 Use relationships to find patterns or predict other results; 3.3 Generate conjectures for students to investigate 3.4 Encourage students to solve a problem in multiple ways3.5 Evaluate student solutions; 3.6 Write a question appropriate for a given answer; 3.7 Connect procedural and conceptual knowledge; 4 Conclusion; References; Chapter 4 Some "What" Strategies that Advance Reasoning and Communication in Primary Mathematics Classrooms Berinderjeet KAUR; 1 Mathematical Tasks; 2 "What..." Strategies; 2.1 What number makes sense?; 2.2 "What's wrong?"; 2.3 "What if?"; 2.4 "What's the question if you know the answer?"; 3 A Primary One Mathematics Lesson; 3.1 Objectives of the tasks 3.2 How the tasks were enacted3.3 Teacher's self-evaluation of her lesson; 4 Conclusion; Acknowledgement; References; Chapter 5 Reasoning and Justification in the Secondary Mathematics Classroom Denisse R. THOMPSON; 1 Introduction; 2 Importance of the Textbook in Providing Opportunities for Reasoning; 3 Aspects of Reasoning to Incorporate into the Curriculum; 3.1 Finding counter examples; 3.2 Investigating conjectures; 3.3 Making conjectures; 3.4 Developing arguments; 3.5 Evaluating arguments; 3.6 Correcting mistakes in reasoning; 4 Including Reasoning in Assessment; 5 Conclusion; References Chapter 6 LOGO Project-Based Mathematics Learning for Communication, Reasoning and Connection Hee-Chan LEW In-Ok JANG1 Introduction; 2 Characteristics of LOGO; 3 LOGO Project-Based Learning for the Elementary Students; 4 Some Results of the Pilot Lesson Study; 4.1 Planning and implementing strategies; Analogy; Generalization; Critical thinking; Progressive thinking; 4. 2 Debugging strategies; Visualization; Empirical inference; 5 Conclusion; References; Appendix A: Tasks Used in LOGO Project- Based Learning; Appendix B: One Final work of LOGO Project-Based Mathematics Learning Chapter 7 Reasoning, Communication and Connections in A-Level Mathematics TOH Tin Lam |
| Record Nr. | UNINA-9910822513603321 |
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
