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Lesson Play in Mathematics Education [[electronic resource] ] : A Tool for Research and Professional Development / / by Rina Zazkis, Nathalie Sinclair, Peter Liljedahl
Lesson Play in Mathematics Education [[electronic resource] ] : A Tool for Research and Professional Development / / by Rina Zazkis, Nathalie Sinclair, Peter Liljedahl
Autore Zazkis Rina
Edizione [1st ed. 2013.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 2013
Descrizione fisica 1 online resource (287 p.)
Disciplina 510.71
Soggetto topico Mathematics—Study and teaching 
Teaching
Mathematics Education
Teaching and Teacher Education
ISBN 1-283-94569-X
1-4614-3549-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Lesson Play in MathematicsEducation; Preface; Contents; Part I; 1 Planning for Instruction; Legacy of the Tylerian Lesson Plan; Lesson Plan: An Example; Alternative Models; Conclusion; 2 Introducing Lesson Play; Developing the ''Lesson Play''; Potential Interactions; A Sample Lesson Play; Virtual Planning: What the Lesson Might Be; 3 Evolution of the Task; Lesson Play: Iterative Design; First Iteration; Next Iterations; Final Iterations; Lesson Play: Toward 'Real Teaching'; Part II; 4 Linear Measurement: How Long is a Stick?; Diverting Teacher--Student Interaction; ''Who else?''
''Place blockshellip and count them''Funneling Through Telling; ''Important rules for measuring''; ''When we are measuring we have to start at 0''; ''There is a special trick that we use when we count!''; ''Place the stick upright on the table''; Funneling Through Rerouting a Strategy; ''Count the spaces in between the numbers''; ''No matter where you start''; ''If you chose to start the measurement of your stick at 5 cmhellip''; ''You don't count the first line''; ''Can you draw me a 1 cm long line''; What Do We Learn About Prospective Teachers' Ideas of Measurement?; 5 On Divisibility by 4
Retrieving the Correct Divisibility Rule&!ldquo; ''Who can remember?''; ''Look it up in my notes'' or elsewhere; ''We can look in the glossary of the textbook''; ''I think we are confusinghellip''; ''Some wonderful little tricks''; ''You've won the concert tickets!''; ''How about 1000456814?''; Moving Toward Student Reasoning; ''See if you can find a rule that does work''; ''That's easy, they're all [16, 20 and 24] divisible by four''; ''Start looking''hellip ''after the break''; ''How does it work?''; ''Imagine that each one of these is a chocolate bar''; Uses of Mathematical Language
''A number is divisible by 4 ifhellip''''Just look at the last two numbers''; ''What about the number 6, what's the rule for that one?''; More Troublesome Expressions; Becausehellip Alternative Diagnoses and Remediation; ''Because 354 has 4 in the one's place''; ''Let's try doing long division''; ''Because 354 is an even number''; ''I worked through all the division steps''; ''4 goes into 354, 88.5 times''; Conclusion; 6 On Prime Numbers; Following Prompt #1; ''We could make the multiplication table bigger''; ''If I give you 12 blocks''
''I will circle them and cross out all the multiples of 5 and 7''''We should not be using the multiplication tables''; Following Prompt #2; ''Can a number that is bigger than 9 be a factor for a number?''; ''Does anyone know the divisibility rule for 11?''; Following Prompt #3; ''We only need to divide 37 by other primes''; ''That is not how a prime number is defined''; ''Let us use the blocks to find out''; ''Can there be an endless number of prime numbers''; ''Find a number that is not a prime number and is also not divisible by 2, hellip, 9''; Conclusion
7 Repeating Patterns: Cars and Colours
Record Nr. UNINA-9910438332303321
Zazkis Rina  
New York, NY : , : Springer New York : , : Imprint : Springer, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical Problem Solving [[electronic resource] ] : Current Themes, Trends, and Research / / edited by Peter Liljedahl, Manuel Santos-Trigo
Mathematical Problem Solving [[electronic resource] ] : Current Themes, Trends, and Research / / edited by Peter Liljedahl, Manuel Santos-Trigo
Edizione [1st ed. 2019.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Descrizione fisica 1 online resource (XI, 362 p. 112 illus., 82 illus. in color.)
Disciplina 370
Collana ICME-13 Monographs
Soggetto topico Mathematics—Study and teaching 
Teaching
Study Skills
International education 
Comparative education
Mathematics Education
Teaching and Teacher Education
Study and Learning Skills
International and Comparative Education
ISBN 3-030-10472-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction – Peter Liljedahl & Manuel Santos Trigo -- Section 1: problem solving heuristics -- 1. Looking Back to Solve Differently: Familiarity, Fluency, and Flexibility - Hartono Tjoe -- 2. Future-oriented Thinking and Activity in Mathematical Problem Solving - Wes Maciejewski -- Section 2: problem solving and technology -- 3. A model of mathematical problem solving with technology: the case of Marco solving-and-expressing two geometry problems - Susana Carreira & Hélia Jacinto -- 4. Mathematical problem solving and the use of digital technologies - Manuel Santos-Trigo -- 5. The spreadsheet affordances in solving complex word problems - Nélia Amado, Susana Carreira & Sandra Nobre -- Section 3: inquiry and problem posing in mathematics education -- 6. Is Inquiry-Based Approach possible at the elementary school? - Magali Hersant & Christine Choquet -- 7. How to stimulate in-service teachers’ competence in didactic analysis by means of problem posing – Uldarico Malspina et al -- Section 4: assessment of and through problem solving -- 8. Exploring Methods in Evaluating Metacognitive Strategies in Mathematical Problem Solving - Mei Yoke Loh & Ngan Hoe Lee -- 9. Assessing Inquiry-Based-Mathematics-Education with both a summative and formative purpose - Maud Chanudet -- 10. Beyond the standardized assessment of mathematical problem solving competencies: from products to processes - Pietro Di Martino & Giulia Signorini -- Section 5: the problem solving environment -- 11. Creating and sustaining online problem-solving forums: Two perspectives - Boris Koichu & Nelly Keller -- 12. Conditions for Supporting Problem Solving: Vertical Non-Permanent Surfaces - Peter Liljedahl -- 13. The ARPA experience in Chile: Problem Solving for Teachers’ Professional Development - Patricio Felmer, Josefa Perdomo-Díaz, & Cristián Reyes -- Conclusion – Peter Liljedahl & Manuel Santos Trigo.
Record Nr. UNINA-9910337759203321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Problem Solving in Mathematics Instruction and Teacher Professional Development [[electronic resource] /] / edited by Patricio Felmer, Peter Liljedahl, Boris Koichu
Problem Solving in Mathematics Instruction and Teacher Professional Development [[electronic resource] /] / edited by Patricio Felmer, Peter Liljedahl, Boris Koichu
Edizione [1st ed. 2019.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Descrizione fisica 1 online resource (417 pages)
Disciplina 510.71
Collana Research in Mathematics Education
Soggetto topico Mathematics—Study and teaching 
Learning
Instruction
Teaching
Mathematics Education
Learning & Instruction
Teaching and Teacher Education
ISBN 3-030-29215-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Part I. Problem Solving in Mathematics Instruction: Reflections and Agendas -- Chapter 1: Embedding Problem Solving into School Mathematics -- Chapter 2: School Math Needs to Focus on Mathematics as a Study of Structure -- Chapter 3: Problem Solving as a Subject and as a Pedagogical Approach, and the On-Going Dialogue between Mathematics and Mathematics Education -- Chapter 4: On Facilitating Different Types of Problem-Solving Discourse: Focus on Heuristics, Connectivity and Aesthetics -- Part II. Design of Powerful Problem-Solving Situations -- Chapter 5: Pre-Parative and Post-Parative Play as Key Components of Mathematical Problem Solving -- Chapter 6: Alternatives Teaching Methods: Means to Promote Pupils’ Mathematical Understanding -- Chapter 7: The Design Of Problems That Promote Geometric Modeling As Context For Research On Instruction -- Chapter 8: A Mathematical Problem-Solving Approach Based on Digital Technology Affordances to Represent, Explore and Solve Problems via Geometric Reasoning -- Part III. Interplay of Factors Involved in Student Problem Solving -- Chapter 9: Collaborative Work of Students when Solving Mathematical Problems: Relationships between Different Dimensions -- Chapter 10: Attitude toward Mathematics; A Function that Affects Students’ Learning to Solve a Non-Routine Mathematical Problem -- Chapter 11: Problem Solving, the Enactivistic-Metaphoric Way -- Chapter 12: Arithmetic-Algebraic Problems and Analogical Reasoning -- Part IV. Effects of Engagement with Problem Solving Chapter 13: Changing Beliefs: The Case of First-Person Vicarious Experiences -- Chapter 14: Examining Sources of Self-Efficacy in Whole-Class Problem-Solving -- Chapter 15: Ensuring Equity through Using Culturally Embedded Group Worthy Tasks within Mathematical Inquiry Communities -- Part V. On the Role of Teachers in Problem-Solving Classrooms -- Chapter 16: Let Students Communicate their Ideas: How Instructors' Interactions Influence Team's Problem-Solving Capabilities -- Chapter 17: Teacher Questioning to Foster Mathematical Problem Solving in Two Professional Development Programmes -- Chapter 18: Mathematics Teachers’ Specialized Knowledge for Managing Problem-Solving Tasks -- Part VI. Teacher Professional Development and Problem Solving -- Chapter 19: Chaos, Control, and Need: Success and Sustainability of Professional Development in Problem Solving -- Chapter 20: Teachers’ Mathematical Tensions Surfacing during the First Session of a Professional Development Workshop Based on Problem Solving -- Chapter 21: Teachers’ Learning to Enhance Urban Students’ Participation through Problem Solving in Mathematics Classroom: The Case of Juan. .
Record Nr. UNINA-9910357854803321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Teaching and Learning in Maths Classrooms [[electronic resource] ] : Emerging Themes in Affect-related Research: Teachers' Beliefs, Students' Engagement and Social Interaction / / edited by Chiara Andrà, Domenico Brunetto, Esther Levenson, Peter Liljedahl
Teaching and Learning in Maths Classrooms [[electronic resource] ] : Emerging Themes in Affect-related Research: Teachers' Beliefs, Students' Engagement and Social Interaction / / edited by Chiara Andrà, Domenico Brunetto, Esther Levenson, Peter Liljedahl
Edizione [1st ed. 2017.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Descrizione fisica 1 online resource (XXIII, 292 p. 13 illus., 4 illus. in color.)
Disciplina 370
Collana Research in Mathematics Education
Soggetto topico Mathematics—Study and teaching 
Teaching
Cognitive psychology
Personality
Social psychology
Sociology
Educational technology
Mathematics Education
Teaching and Teacher Education
Cognitive Psychology
Personality and Social Psychology
Knowledge - Discourse
Educational Technology
ISBN 3-319-49232-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Teaching and learning in math classrooms -- 2 Foreword -- 3 Introduction -- Part I Classroom practices: explanation, problem-solving, patterning, decision-making, drawings and games – 4 Prospective primary teachers’ beliefs regarding the roles of explanations in the classroom -- 5 Defining, drawing, and continuing repeating patterns: Preschool teachers’ self-efficacy and knowledge. - 6 Primary school students’ images of problem solving in mathematics -- 7 Secondary school mathematics teachers’ conceptions on data-based decision-making: Insights from four Japanese cases -- 8 Teachers’ activities during a mathematics lesson as seen in third graders’ drawings- 9 Serious frivolity: exploring play in UK secondary mathematics classrooms -- Part II Teachers’ beliefs, changing beliefs and the role of the environment -- 10 In-service math teachers’ autobiographical narratives: the role of metaphors -- 11 A contribution to the relation between teachers’ professed and enacted beliefs -- 12 Raising attainment: What might we learn from teachers’ beliefs about their best and worst mathematics students? -- 13 Numeracy task design: A case of changing mathematics teaching practice -- 14 Math lessons: from flipped to amalgamated, from teacher- to learner-centered -- 15 Emotional expressions as a window to processes of change in a mathematics classroom’s culture -- 16 Mathematics teachers’ conceptions of the classroom environment -- Part III Understanding the undercurrents: tensions, inconsistencies and the social turn -- 17 Teacher tensions: the case of Naomi -- 18 Towards inconsistencies of parents’ beliefs about teaching and learning mathematics -- 19 Evoking the feeling of uncertainty for enhancing conceptual knowledge -- 20 Criteria for identifying students as exceptional in a mathematical camp for ‘gifted’ students -- 21 Identity and rationality in classroom discussion: developing and testing an analytical toolkit -- 22 Developing an analyzing tool for dynamic mathematics-related student interaction regarding affect, cognition and participation -- Part IV Emerging themes in affect-related research: engagement, fear, perfectionism ...and assessment -- 23 Motivating desires for classroom engagement in the learning of mathematics -- 24 What are students afraid of when they say they are afraid of mathematics? -- 25 What is perfectionism in mathematical task solving? -- 26 Gender differences concerning pupils’ beliefs on teaching methods and mathematical worldviews at lower secondary schools -- 27 “Every time I fell down (made a mistake), I could get up (correct)”: affective factors in formative assessment practices with classroom connected technologies -- 28 Teachers’ affect towards the external standardised assessment of students’ mathematical competencies -- 29 Conclusion.
Record Nr. UNINA-9910255100503321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui