Stevens Institute of Technology Center for Innovation in Engineering and Science Education

1. Stevens Institute of Technology Center for Innovation in Engineering and Science Education Presents: Engineering & Mathematics in Middle Schools: Building Math Presenter: Dr. Diane Carluccio Mathematics Professional Development Specialist Email: diane.carluccio@stevens.edu

2. Goal To Preview the Building Math Materials

3. Engineering & Math in Middle SchoolsBuilding Math: Integrating Algebra and Engineering Design By Peter Wong National Center for Technological Literacy Museum of Science

4. Building Math Materials Goals to familiarize middle school teachers with standards-based activities that integrate algebra and technology using a hands-on, problem solving, and cooperative learning approach. to familiarize teachers and students with the Engineering Design Process

5. Overview of Program • Three Design Challenge Units - Each unit has three activities - Each unit takes about three weeks to complete • Correlated to the NCTM Standards

7. Building Math Pedagogical Approach, Goals and Methods • Conceptual learning – story line based on real-life situations. • Peer-based learning – students work together throughout the design process. • Activity-based practice - students experiment, investigate, measure, build models, and analyze results.

8. Building Math Skills • Relevant Math Skills: • collecting data, • measuring, • accounting for error and imprecision of tools, • building confidence in data by doing repeated trials and taking appropriate averages, • representing data, • making graphs, and • understanding/analyzing graphs • Possible Science Connections: heat transfer, static forces, gravity, velocity, acceleration, public health, materials science, food chain, water pollution

9. 8-Step Engineering Design Process (EDP) 1. Define – the problem 2. Research – the problem 3. Brainstorm – possible solutions 4. Choose – the best solution 5. Build – a model or prototype 6. Test – your solution 7. Communicate – your solution 8. Redesign – as needed

10. Engineering Design Process Matching Exercise

13. Amazon Mission

14. Real-Life Situations

15. Define the Problem

16. Define the Problem

18. Graph with Temperature Constraints

19. Quantitative TestingUsing Graphing Calculators and Temperature Probes

21. Material 0 sec 10 sec 20 sec 30 sec 40 sec 50 sec 60 sec Bare hands 59º 63º 80º 82º 84º 85º 86º Corrugated board 59º 64º 69º 70º 75º 77º 79º Form board 59º 62º 65º 68º 70º 72º 74º Bubble wrap 59º 66º 71º 75º 77º 79º 81º Aluminum foil 59º 84º 87º 88º 88º 88º 88º Collected Data Temperature (ºF) on Thermometer

23. Informed Design(Factors Students Must Consider) • Good Insulator • Low Cost • Rugged and Protective

24. Permutations • Combine Different Materials • Determine the Best Insulator • Graph Results

25. C

26. Communicate - Share Results • Each Group Will Share Their Findings/Graphs

27. Utilize Research Data • Brainstorm Possible Solutions

28. Considerations

29. Design Carrier/Draw Net 1. Draw a 3-D Design and Net of your carrier • Label the materials and the dimensions of your carrier 3. Show a cross section of the carrier to show the order of materials you are layering

30. Wrap-Up • Engaged in standards-based materials • Used graphing calculators and probes to collect data • Designed a three dimensional medicine carrier and it’s net • Labeled dimensions of a scale model of the medicine carrier