Presentation is loading. Please wait.

Presentation is loading. Please wait.

Conceptual Development in Area Measurement Funda Gonulates, Lorraine Males, & Nic Gilbertson Strengthening Tomorrow’s Education in Measurement (STEM) Project.

Similar presentations


Presentation on theme: "Conceptual Development in Area Measurement Funda Gonulates, Lorraine Males, & Nic Gilbertson Strengthening Tomorrow’s Education in Measurement (STEM) Project."— Presentation transcript:

1 Conceptual Development in Area Measurement Funda Gonulates, Lorraine Males, & Nic Gilbertson Strengthening Tomorrow’s Education in Measurement (STEM) Project Michigan State University MCTM Conference 2010 Dakota High School

2 Welcome We’d like to take some time for everyone to introduce themselves  Name  Position  Grade level  District/School 2STEM 2010 - MCTM Conference

3 Area Take some time to think about and share your answer to the following: 3STEM 2010 - MCTM Conference  What is area?  What issues or difficulties do you think students might have with area measurement?

4 Pentagon Task STEM 2010 - MCTM Conference4 1)Find the area 2)Draw a second pentagon with the same area

5 Pentagon Task STEM 2010 - MCTM Conference5 With a partner, 1)Share your solutions 2)What might students have difficulties with in solving this problem? 3)What would students need to know in order to solve this problem?

6 Pentagon Task – NAEP results STEM 2010 - MCTM Conference6 Scoring Rubric: Incorrect (both parts a & b incorrect) Partial (either a or b correct) Correct (both a & b correct) Omitted Off Task

7 Pentagon Task – NAEP results STEM 2010 - MCTM Conference7 Scoring Rubric: Incorrect (both parts a & b incorrect)…48% Partial (either a or b correct)…47% Correct (both a & b correct)…2% Omitted…2% Off Task… (rounded to 0%)

8 Pentagon Task – NAEP results STEM 2010 - MCTM Conference8 Grade 8 – 2005 Scoring Rubric: Incorrect (both parts a & b incorrect)…48% Partial (either a or b correct)…47% Correct (both a & b correct)…2% Omitted…2% Off Task… (rounded to 0%)

9 STEM – Who, Where, and When Who:  PI: Dr. Jack Smith  Research Assistants: Dan Clark, Kuo-Liang Chang, Leslie Dietiker, Hanna Figueras, Nic Gilbertson, Funda Gonulates, Pat Greeley, Jia He, Kosze Lee, Lorraine Males, Aaron Mosier, Matt Pahl, Gulcin Tan Sisman, Shannon Sweeny, Alexandria Theakston When:  2007 – present Where:  Michigan State University  Work beginning in various districts throughout Michigan including Eastern UP, Grand Rapids, Jackson, Kalamazoo, & Oakland 9STEM 2010 - MCTM Conference Strengthening Tomorrow’s Education in Measurement

10 STEM – What What: Research  analyzing the capacity of three written elementary curricula to support robust learning of spatial measurement (length, area, volume) Professional Development  worked with pre-service teachers during their year- long internship on measurement lesson study  working with facilitators throughout Michigan who are in turn working with teachers in their areas 10STEM 2010 - MCTM Conference

11 STEM – Three Curricula The three carefully chosen curricula are:  Scott Foresman- Addison Wesley Mathematics  UCSMP’s Everyday Mathematics  Saxon Math 11STEM 2010 - MCTM Conference

12 STEM – Our Analysis In our analysis we are looking at every lesson, problem, and activity of teach curricula for two important aspects:  Knowledge elements - Spatial measurement knowledge (conceptual, procedural, conventional)  Textual elements - The ways in which this knowledge is expressed (statements, demonstrations, worked examples, questions, problems, games) 12STEM 2010 - MCTM Conference

13 STEM – Area Core Principles  Area as a measurable quantity  Conservation under partitioning.  Conservation under motion  Identical Units  Unit iteration  Transitivity  Spatial structure of rectangular arrays  Multiplicative composition from lengths 13STEM 2010 - MCTM Conference

14 STEM – Area Analysis Flow of Area Topics 14STEM 2010 - MCTM Conference “Grain-size perception of area” the ability to exploit the structure “Holistic perception of area” to understand the structure of a region Array of Objects (Numbers, counting) Arrays of Tesselating Objects Rectangles Visual Judgment Cover Measure and Cover Measure w/ Grid w/out Array Structure Measure w/ Array Structure Compute LxW Std. vs Non std. Units Visual Estimation of Area Partition Analysis of area content in all curricula K-4 (Gonulates & Mosier, 2010)

15 Area Lesson Analysis: SFAW Grade 3, P.468A 15STEM 2010 - MCTM Conference What knowledge is required What is in curricula

16 Area Lesson Analysis: SFAW Grade 3, P.468 16STEM 2010 - MCTM Conference What knowledge is required What is in curricula

17 STEM 2010 - MCTM Conference17 SFAW GR3 Area Lesson Analysis Objectives of the Lesson P. 468AP. 468 Conceptual Knowledge Procedural Knowledge Connections Reflection

18 STEM 2010 - MCTM Conference18 SFAW GR3 Area Lesson Analysis Objectives of the Lesson Estimate or find the areas of figures in square units. P. 468AP. 468 Conceptual Knowledge Area as a measurable quantity (Definition and meaning of area measure) Order/Equity Unit Measure Compensation Area as a measurable quantity (Definition and meaning of area measure) Procedural Knowledge Measure area (G, RC) Draw a region Measure area (G, covering, counting, grid) Visual estimation Read an area Draw a region Connections Reflection

19 Thank you! We want to thank the National Science Foundation for funding this work We want to thank you for coming! Please take a few minute to fill out our evaluation. For more information starting this fall you can go to: http://www.msu.edu/~stemproj http://www.msu.edu/~stemproj If you have any questions please e-mail us at: stemproj@msu.edu stemproj@msu.edu STEM 2010 - MCTM Conference19


Download ppt "Conceptual Development in Area Measurement Funda Gonulates, Lorraine Males, & Nic Gilbertson Strengthening Tomorrow’s Education in Measurement (STEM) Project."

Similar presentations


Ads by Google