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Gatekeeping Revealed: Mathematics for Diverse Learners

Explore gatekeeping in mathematics education, engaging preconceptions, metacognitive approaches, diverse teaching methods, and historical stratification. Dive into problem-solving, constructivism, and combating math anxiety. Uncover the principles of successful math teaching and the impact of cognitive behaviors on learning. Unlock the potential for inclusive math education.

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Gatekeeping Revealed: Mathematics for Diverse Learners

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  1. 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 • International Conference of The Mathematics Education for the Future Project • Challenges in Mathematics Education for the Next Decade • September 10–15, 2017 • Hotel AnnabellaBalatonfüred, Lake Balaton, Hungary Gatekeeping Revealed

  2. Perspective Lake Ontario, USA Lake Balaton, Hungary Gatekeeping Revealed

  3. Overview/Abstract • 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. Mathematics for Diverse Learners course • 3 week course/Hybrid • Some mathematics from proficiency • History of mathematics • Teaching methods • Research • Lesson Development • Collaboration with peers • 3 years in MAT program • Process Standards Reminders (ARRCC) • Accuracy • Reasoning • Representation • Communications • Connections Gatekeeping Revealed

  10. 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

  11. ACCESS or Barrier? Gatekeeping Revealed

  12. 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

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

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

  15. 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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