Jennifer M. Suh, Padmanabhan Seshaiyer

Modeling Mathematical Ideas

Developing Strategic Competence in Elementary and Middle School

• Gebundenes Buch

Produktbeschreibung

Modeling Mathematical Ideas will provide a guide for navigating through the mathematics learning progressions for number sense, computational fluency, algebraic thinking and proportional reasoning through meaningful conceptual tasks.

---

Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: Globe Pequot Publishing Group Inc/Bloomsbury
• Seitenzahl: 228
• Erscheinungstermin: 27. Dezember 2016
• Englisch
• Abmessung: 260mm x 183mm x 17mm
• Gewicht: 632g
• ISBN-13: 9781475817584
• ISBN-10: 1475817584
• Artikelnr.: 45469456

Autorenporträt

Jennifer Suh is an Associate Professor in the Graduate School of Education, College of Education and Human Development, George Mason University. Dr. Suh teaches mathematics methods courses in the Elementary Education Program and mathematics leadership courses for the Mathematics Specialist Masters and PH.D Programs.  She directs the Center for Outreach in Mathematics Professional Learning and Educational Technology, COMPLETE, a joint center between the College of Education and the College of Science. Her research focuses on mathematics teacher development while using Lesson Study to develop pedagogical mathematics knowledge across the continuum from pre-service teachers to mathematics teacher leaders; Children's development of mathematical meaning and models by building understanding and representational fluency; Problem-based Learning Environments to promote equitable access to 21st century skills: Creativity, Critical Thinking, Communication and Collaboration for diverse student populations in STEM disciplines.  Padmanabhan Seshaiyer is a professor of mathematical sciences and serves as the Director of the STEM Accelerator Program and the Center for Outreach in Mathematics Professional Learning and Educational Technology (COMPLETE) at George Mason University in Fairfax, Virginia. During the last decade, he has initiated and directed a variety of educational programs including graduate and undergraduate research, K-12 outreach, teacher professional development, and enrichment programs to foster the interest of students and teachers in mathematical modeling and STEM at all levels. He is also actively involved in multiple global initiatives and training programs that engage students, teachers and faculty to develop innovative STEM-based solutions to real-world problems.

Inhaltsangabe

Chapter 1: Developing Strategic Competence through Modeling Mathematical
Ideas 1.1 Developing Strategic Competence through Modeling Mathematical
Ideas 1.2 Promoting Math Proficiency and Mathematical Practices 1.3 Problem
Solving and Mathematical Modeling in the Elementary and Middle Grades 1.4
Multiple Representations and Strategies as Tools to Cultivate Visible
Thinking in Mathematics 1.5 Importance of Understanding the Vertical
Learning Progression to Deepen Students' Mathematical Understanding 1.6
Technology Integration in Problem Solving 1.7 More Related Rich Problems to
Explore Chapter 2: Setting Math Norms to Promote Math Reasoning and
Modeling 2. 1 Developing Persistent Problem Solvers with a Productive
Disposition towards Math 2.2 Unpacking the Mathematics for Deeper
Conceptual Learning 2.3 Choosing Worthwhile Tasks through Cognitive Demand
Analysis 2.4 Promoting the Core Teaching Practices through Research Lessons
2.5 Integration Technology and Connecting to the Learning Progression 2.6
Assessing Students Understanding through a Problem-based Task Chapter 3:
Engaging in Mathematical Modeling in the Elementary and Middle Grades 3.1
Math Modeling in the Elementary and Middle Grades: What are the building
blocks? 3.2 Mathematical Modeling through Unstructured Real-World Problems
3.3. Lesson Study Focus on the Mathematical Modeling: Traffic Jam 3.4
Promoting the 21st Century Skills 3.5 Technology Integration in Problem
Posing and Problem Solving 3.6 A Related Rich Problem to Explore Chapter 4:
Modeling Math Ideas with Numbers and Operations 4.1 Lesson Study Vignette:
Prime and Composite Numbers 4.2 Visible Thinking in Math: Using Multiple
Representations 4.3 Zooming in on the Learning Progression of Numbers and
Operations 4.4 Teaching Strategies: Using Math Happenings 4.5 Connecting
Procedural Fluency and Conceptual Understanding 4.6 Technology Integration
in Problem Solving 4.7 More Related Rich Problems to Explore Chapter 5:
Modeling Math Ideas with Patterns & Algebraic Reasoning 5.1 Lesson Study
Vignette - Growing Staircase problem 5.2 Visible Thinking in Math: Using a
Modeling Math Mat 5.3 Patterns and Algebra: Zooming in on the Learning
Progressions 5.4 Teaching Strategies: Promoting the Algebraic Habits of
Mind 5.5 Lesson Vignette: What Would You Choose? Analyzing Change in Number
Patterns 5.6 Technology Integration in Problem Solving 5.7 More Related
Rich Problems to Explore Chapter 6: Modeling Math Ideas with Equations and
Inequalities 6.1 Lesson Study Vignette: Setting a Math Learning Agenda 6.2
Zooming in on the Learning Progressions for Algebra 6.3 Visible Thinking in
Math: Naming, Sequencing and Connecting Math Strategies 6.4 Teaching
Strategies: Using Misconceptions to Repair Understanding &Looking for
Efficiency 6.5 Technology Integration in Problem Solving 6.6 More Related
Rich Problems to Explore Chapter 7: Modeling Math Ideas with Fractions 7.1
Lesson Study Vignette: The Unusual Baker 7.2 Visible Thinking in Math:
Assessing Student Learning through Classroom Artifacts 7.3 Zooming in on
the Learning Progressions: Fractions 7.4 Implementing mathematical tasks
that promote reasoning and problem solving 7.5 Teaching Strategies, Using
Representations and Overcoming Common Misconception 7.6 Technology
Integration in Problem Solving 7.7 More Related Rich Problems to Explore
Chapter 8: Modeling Math Ideas with Fraction Computation 8.1 Lesson Study
Vignette: Stuffed with Pizza- Adding fractions 8.2 Visible Learning in
Math- Using Tools to Prove their Thinking 8.3 Learning Progression in
Fraction Operations 8.4 Lesson Study Vignette: Share My Candy 8.5 Teaching
Strategies: Strategy mapping on the board plan 8.6 Use of students'
diversity of strategies as pedagogical content tools 8.7 Technology
Integration in Problem Solving 8.8 More Related Rich Problems to Explore
Chapter 9: Modeling Math Ideas with Ratio and Proportional Reasoning 9.1
Lesson Study Vignette: The Leaky Bathtub 9.2 Zooming in on the Learning
Progressions on Proportional Reasoning 9.3 Visible Thinking in Math: Using
Representational models for proportional reasoning 9.4 Lesson study
vignette: The Cathedral Problem 9.5 Deepening Teacher Knowledge and their
Strategic Competence 9.6 Promoting Reasoning to Rich tasks 9.7 Technology
Integration in Problem Solving 9.8 More Related Rich Problems to Explore
Chapter 10: Pulling it all Together: Strengthening Strategic Competence
through Modeling Mathematics Ideas 10.1 Practice-based Activities to Focus
on Models and Modeling within our Standards 10.2 Modeling Math with Tools
and Representations 10.3 Understanding Conceptual and Interpretative Models
of Math Ideas 10.4 Modeling Math through Problem Solving and Problem Posing
Tasks 10.5 Mathematical Modeling through Unstructured Real-World Problems
10.6 Strengthening Strategic Competence for Modeling Mathematical Ideas
Appendix References