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Math & CTE

Math & CTE. August 7, 2008. Purpose. Gain a better understanding of our students and their “deficiencies” in math. Share problem solving and numeracy strategies that can be used in any classroom. Today’s Student. Evolution of Math Concepts.

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Math & CTE

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  1. Math & CTE August 7, 2008

  2. Purpose • Gain a better understanding of our students and their “deficiencies” in math. • Share problem solving and numeracy strategies that can be used in any classroom.

  3. Today’s Student

  4. Evolution of Math Concepts • Reflecting on your own school experiences, complete the anticipation guide. • Study over the “Evolution of Math Concepts” Handout • Revisit your answers. Did you find anything of interest?

  5. The Elephant Problem • Read through the problem carefully. • Do you have any initial questions? • Work independently for five minutes.

  6. The Elephant Problem • If you would like, pair up with someone for five minutes. • Share!

  7. Reflect • Turn to your reflection guide • Take a moment to think about your feelings, actions, and thoughts while working on the Elephant Problem

  8. Importance of Problem Solving • Real Life Experiences • Workplace Experiences • Problem Solving Promotes Learning of SKILLS and CONCEPTS

  9. Difficulty of Problem Solving • Messy to Teach • Frustrating for Student • Frustrating for Teacher

  10. When Does Problem Solving Occur? • Before the Lesson • During the Lesson • After the Lesson • At Home!

  11. Readily Available Resources • Posters • Fraction Rules • Measuring and Conversions • Problem Solving • Books • Manipulatives

  12. Teaching Problem Solving • Prior to Class: • Choose your problems carefully! • What will the students need to know to solve the problem? • What difficulties may arise?

  13. Teaching Problem Solving • Prior to Class: • When should the question be posed? • What strategies could they possibly use? • What materials/manipulatives should be available? • What are some possible extension questions?

  14. Teaching Problem Solving • During Class: • Pose the Question • Give some initial reflection time • Allow questions that will may clarify the question

  15. Teaching Problem Solving • During Class: • Allow more time to solve • Teacher should be modeling, observing, questioning • Discuss approaches and solutions

  16. Teaching Problem Solving • Leading a Whole Group Discussion: • Call on students specifically • Never say that you agree or disagree • Simply record their answer, and ask for explanation

  17. Teaching Problem Solving • Leading a Whole Group Discussion: • Call on a different person to give their answer and explanation • Point out similarities and differences • Have students reflect

  18. BREAK!

  19. Let’s Practice! • Percent of Change Problem • Foods & Fractions • Conversions & Health Occupations

  20. Your Assignment! • Independently or With a partner • Select & analyze two problems from your curriculum • You can display on poster, or paper, but we will discuss!

  21. Fast Write • Everyone needs an index card and a pencil/pen • In one minute, record as many literacy strategies as you can

  22. Numeracy Strategies • Literacy Strategies? • Or just Teaching Strategies?

  23. Vocabulary Magnet Track Your Thinking Chunking Graphic Organizers Pictorial Representations Physical Representations Strategies

  24. Math to Self Math to Life Mental Calculations Fast Write Teach and Learn Think Aloud Strategies

  25. Strategies • Think Pair Share • KWC • Organizing in Columns • What do you do?

  26. Lunch!

  27. Welcome Back! • Just for fun, complete the worksheet • “Challenging Math Puzzles”

  28. Assess Often • What is assessment? Test? Quiz? VoCATS?

  29. Assess Often • Assessment : • Summative vs. Formative • Objective vs. Subjective • Formal vs. Informal

  30. Math & Assessment • Crucial to assess often! • Structure your lesson to incorporate informal assessment

  31. Graphic Organizer Model for the Class 4 Corners Numbered Heads Together Fast Write Exit Slip Creative Assessment

  32. Warm Up (Bell Ringer) White Boards “Clickers” Workplace Situations Others Creative Assessment

  33. Gallery Walk • Visit each poster around the room • Record how you could use this strategy in your own class

  34. WORD Problems • SOLVE • George Polya

  35. Word Problems • A short-term certificate requires a deposit of $1000 for six months. The deposit earns interest at an annual rate of 7%, or a monthly rate of 1/12 of 7%. What is the total amount of the deposit at the end of the six-month term? (CORD Algebra 1)

  36. Multiple Teaching Strategies • Conversions • Multiplication or Division • Multiplication by Conversion Factors • Proportions • Others?

  37. Multiple Teaching Strategies • Fractions • Addition & Subtraction • Multiplication & Division • Percents

  38. Multiple Teaching Strategies • Measuring • Rulers • Protractors • Others?

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