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Math workshops.pptx
- 2. Goals for Today • Help me discover where you are in the classroom/teaching • Think about needs and research in mathematics education • Think about change and mindset • Design at least one (if not two) real-life lessons
- 3. Questions • If I were a fly on the wall, what would I see in your classroom? • How satisfied are you with the way it’s going? • Fixed mindset/growth mindset? • Favorite math writers/gurus? • Experience with real-life problems/Problem-based math/STEM • How good are you with change on a scale of 1 to 6 (6 being I LOVE CHANGE) • How good are you with ambiguity on a scale of 1 to 6
- 4. Ambiguity
- 5. Fortune 500 “most valued” skills in 1970 1 Writing 2 Computational skills 3 Reading skills 4 Oral communications 5 Listening skills 6 Personal Career Development 7 Creative Thinking 8 Leadership 9 Goal setting / motivation 10 Teamwork 11 Organizational Effectiveness 12 Problem solving 13 Interpersonal Skills Fortune 500 “most valued” skills in 1999 10 1 Teamwork 12 2 Problem Solving 13 3 Interpersonal skills 4 Oral communications 5 Listening skills 6 Personal Career Development 7 Creative Thinking 8 Leadership 9 Goal setting / motivation 1 10 Writing 11 Organizational Effectiveness 2 12 Computational skills 3 13 Reading skills Fortune 500 “most valued” skills in 2019 Soft Skills 1 Creativity 2 Persuasion 3 Collaboration 4 Adaptability 5 Time Management Hard Skills 1 Cloud Computing 2 Artificial Intelligence 3 Analytical Reasoning 4 People Management 5 UX (User-Experience) Design 13 Interpersonal Skills
- 6. Forbes “most valued” skills in 2021 1 Growth Mindset 2 Continuous learning 3 Critical Thinking 4 Survival skills (adaptability, grit) 5 Resilience, Curiosity 6 Flexibility 7 Dedication 8 Coaching mindset 9 Comfort with ambiguity 10 Thriving in a virtual environment Five C’s of Math Engagement • Curiosity • Connection Making • Challenge • Creativity • And usually Collaboration
- 7. Lone Ranger Collaborative Fixed mindset Growth mindset Procedural Process Textbook Real Life
- 11. Brain Plasticity
- 12. A New Brain Every Morning • One of 3 things happen when we learn a new idea: • A new pathway forms • Pathways strengthen • Pathways connect
- 13. Fall 7th grade Spring 7th grade. End 7th grade
- 15. What is math?
- 16. Math is the study of patterns; …it is an aesthetic, creative and beautiful subject. – Jo Boaler
- 17. Math Does Not Equal Calculating – Conrad Wolfram 1. Posing a question 2. Going from real world to a mathematical model 3. Performing a calculation 4. Going from the model back to the real world to see if the original question was answered
- 18. Misconceptions About Math Fast is best. Math is a gift. (I’m/you’re a math person/not a math person.) Math is all about calculating.
- 19. A dangerous misconception exists about mindset, which is the idea that you can instill a growth mindset in students by sharing positive messages while still teaching in a fixed way—with math questions that have one answer and one valued method. – Jo Boaler p.xiv Mathematical Mindsets
- 22. Continuum of STEM/Authentic Math I’d like to dip my toes in first: Go to symbaloo and find a pre-constructed problem to try I want to swim in my lane: Find a problem in your textbook and break it apart like Dan Meyers I want to do some creative water ballet: See how to open tasks I want to dive off the high-dive: Let’s talk about a genuine problem in your area, the US, or globally
- 23. 1. Symbaloo
- 24. Calculus
- 25. Algebra
- 26. 2. Dan Meyer’s How to Open a Textbook Task
- 27. 3. How to Open Tasks Can you open the task to encourage multiple methods, pathways, and representations? Can you make it an inquiry task? Can you ask the problem before teaching the method? Can you add a visual component? Can you make it low floor and high ceiling? Can you add a requirement to convince and reason?
- 28. Openness of Numbers:Number Sense, the foundation of algebra Think about the answer to 18 x 5 and then share with me your method for reaching it.
- 29. Open a Geometry Task • A farmer has 36 1-meter pieces of fencing. What arrangement will give the greatest area? What will that area be?
- 30. 4. Off the High Dive!
- 34. Quick start All working together Great discussion Staying together “Let’s go round and see how everyone sees the shape.” A+ “How do you guys think?” Building shape in middle of table Checking with each other A+ Talking about clothes Off task—group asked to stop Individual working, no discussion B All four working Checking each other’s work Asking nice questions: How would that work with another number?” Good group roles. A+ Group Roles • Organizer: Keep the group together and focused on the problem; make sure no one is talking to people outside the group. • Resourcer: You are the only person that can leave their seat to collect supplies for the group; make sure everyone is ready before you call the teacher. • Understander: Make sure all ideas are explained so everyone is happy with them. If you don’t understand, ask whoever had the idea. . . If you do, make sure that everyone else does too. Make sure that all the important parts of your explanation get written down • Includer: Make sure everyone’s ideas are listened to; invite other people to make suggestions.
- 35. Make It Messy!
Editor's Notes
- Ambiguity – give Russia drawing example
- Deal with these first in ourselves and then with our students.
- It only compresses concepts! P. 43
- p. 13-14 Find notes.
- Most students think of mathematics as a series of answers—answers to questions that nobody has asked.
- 1st 5:20
- mathfqppafr.doc
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