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Try These

Try These. 1. Compare and 2^4 and 4^2. What did you find? 2. What about 4^20 compared to 8^10. How do these two compare? Does this comparison follow the universal principal?. 3. Arrange these numbers: 1, 1, 1, 2, 2, 2, 3, 3, 3

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Try These

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  1. Try These 1. Compare and 2^4 and 4^2. What did you find?2. What about 4^20 compared to 8^10. How do these two compare? Does this comparison follow the universal principal? 3. Arrange these numbers: 1, 1, 1, 2, 2, 2, 3, 3, 3 in the nine boxes below so that each row and column has the same sum. Gatekeeping Revealed

  2. Mathematics for Diverse LearnersGatekeeping Revealed Marcia M. Burrell, Ph.D.State University of New York College at Oswego Curriculum and Instruction Department marcia.burrell@Oswego.edu Mathematics CampSchool of Education August 19, 2019 SUNY Oswego Gatekeeping Revealed

  3. Success in Mathematics • How do we prepare math teachers for a diverse population successful in mathematics? • Gatekeeping Revealed Gatekeeping Revealed

  4. Good Data • Constructivism • Problem solving approaches • Math Anxiety • Mathematical Ways of Knowing • Brain Based Learning • Social and Emotional Support • Different approaches to teaching • Challenging Curriculum • Not Just about computation • Concept mapping • History of mathematics Gatekeeping Revealed

  5. Status Quo PRINCIPLE #1: Teachers must engage students’ preconceptions PRINCIPLE #2: Understanding requires factual knowledge and conceptual understandings PRINCIPLE #3: A metacognitive approach enables student self-monitoring Donavan, 2005 Gatekeeping Revealed

  6. -1. Engage Preconceptions2. Factual and Conceptual frameworks3. Metacognitive approach to self-monitoring - How People Learn Gatekeeping Revealed

  7. Different Approaches to Teaching • Pose open ended questions • Make explicit connections • Provide multiple pathways for learning Gatekeeping Revealed

  8. Door to No Return Hard Work—Time on Task—Effort—Struggle VS Ability tied to standardized aptitude tests Gatekeeping Revealed

  9. How to Study Mathematics • How to be successful in Mathematics Example: • https://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Matt-Larson/A-Renewed-Focus-on-Access,-Equity,-and-Empowerment/ Gatekeeping Revealed

  10. Process Standards Process Standards Reminders (ARRCC) • Accuracy • Reasoning • Representation • Communications • Connections https://mathequality.wordpress.com/2012/06/26/nctm-process-standards-for-mathematics/ Gatekeeping Revealed

  11. History of Stratification • Plato, 2300 years ago • 1890’s • 1920’s • 1890- 1940’s • 1926 • 1950’s • Plato believed that all students needed to learn arithmetic, but he reserved advanced mathematics for those who would serve as philosopher guardians. • Mathematics education as a separate field • NCTM argued for math to be a part of the curriculum • Growth in school population—perception that intellectual capabilities of students decreased • No need for mathematics in the curriculum • Education attacked for not educating for business & industry and then Sputnik • All events lead to one question: • “The questions were not only what mathematics should be taught and how, but more importantly, who should be taught mathematics. (p. 10, in Stinson, 2004) Gatekeeping Revealed

  12. Mindset from Jo Boaler • https://www.youcubed.org/resources/mindset-video/ • Beliefs and Experiences and Synapses • Muscle Memory—Struggle and Brain Growing • Brain is plastic • Growth Mindset Gatekeeping Revealed

  13. ACCESS or Barrier? Gatekeeping Revealed

  14. Can your private thoughts and expectations influence how well a rat runs a maze? http://www.npr.org/2015/01/23/379134306/batman-pt-1 Audio on Batman 1 Gatekeeping Revealed

  15. Interpretations Perceptions - Cognitive Behaviors - Conative Expectations -Affective Gatekeeping Revealed

  16. When it comes to MATHEMATICS Learning You have 9 lives Gatekeeping Revealed

  17. Thank you for your attention! • The perceptions, expectation, and behaviors reveal the potential for opening the gate to mathematics potential. • Questions? Gatekeeping Revealed

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