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Investigations in Number, Data, and Space: Teaching Philosophy.

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Presentation on theme: "Investigations in Number, Data, and Space: Teaching Philosophy."— Presentation transcript:

1 Investigations in Number, Data, and Space: Teaching Philosophy

2 The Changing Face of Mathematics Instruction: What is different?  New roles for teachers and students  Teaching for understanding  All children can learn  Collaborative work  Alternative and multiple strategies

3 Organization of the Investigations Curriculum  Units (2- 6 weeks) – consists of several investigations on the same/similar topics  Investigations several sessions around A set of related problems Math relationships – building/constructing Games about particular mathematics Collecting, representing and interpreting data  Sessions – structure/learning cycle  Extensions & Excursions - differentiation

4 Learning Cycle  ENGAGE (hook; prior knowledge)  EXPLORE (hands on; experience)  EXPLAIN (term introduction)  EXTEND (yet another way)  EVALUATE (are learners getting the concept?) If YES, … If NO, …

5 The Mathematics Content  Number  Data  Geometry  Change

6 Special Features of the Investigations Curriculum  Materials  Technology  Cooperative learning and grouping  Assessment  Family connections  Review and practice  Support for Spanish-speaking students

7 The Teacher’s Role  Observe & listen carefully to students; Understand how students are thinking  Help students articulate their thinking, verbally & in writing  Establish a classroom atmosphere in which high value is placed on thinking hard about a problem  Insist that students keep track of their work and be able to explain or show their thinking  Ask questions that push students’ mathematical thinking further  Facilitate discussions about important math ideas  Make decisions about how to modify the curriculum appropriately for individuals or groups of students

8 Differentiating Instruction: Can we do it?  Everybody Counts (NRC, 1989)  Investigating real-life contexts  Linguistically diverse classroom Spanish vocabulary package Tips for linguistically diverse classroom Family letters (in six languages)  Investigating mathematical contexts

9 Differentiating Instruction: Process standards  Problem solving  Communication  Connections  Reasoning and proof  Representations

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