1 2 3 4 Mathematics Framework Second Field Review Draft March 2022 Page 1 of 77 6 Mathematics Framework Appendix B: Works Cited 7 Second Field Review Draft 5 8 Mathematics Framework Appendix B – Works Cited.....................................................................1 9 Chapter 1...........................................................................................................................2 10 Chapter 2...........................................................................................................................9 11 Chapter 3.........................................................................................................................21 12 Chapter 4.........................................................................................................................25 13 Chapter 5.........................................................................................................................29 14 Chapter 6.........................................................................................................................32 15 Chapter 7.........................................................................................................................39 16 Chapter 8.........................................................................................................................45 17 Chapter 9.........................................................................................................................52 18 Chapter 10.......................................................................................................................57 19 Chapter 11.......................................................................................................................65 20 Chapter 12.......................................................................................................................66 21 Chapter 13.......................................................................................................................71 22 Chapter 14.......................................................................................................................73 23 Appendix A......................................................................................................................75 24 25 Chapter 1 26 Abiola, Odoula, and Hakirat S. Dhindsa. 2011. “Improving classroom practices using our 27 knowledge of how the brain works.” International Journal of Environmental & Science 28 Education 7(1): 71–81. 29 Alibali, Martha W., and Mitchell J. Nathan. 2012. “Embodiment in mathematics teaching 30 and learning: Evidence from learners' and teachers' gestures.” Journal of the Learning 31 Sciences 21(2): 247–286 32 Blackwell, Lisa S, Kali H. Trzesniewski, and Carol S. Dweck. 2007. “Implicit Theories of 33 Intelligence Predict Achievement Across an Adolescent Transition: A Longitudinal Study 34 and an Intervention.” Child Development 78(1): 246–63. 35 Boaler, Jo. 2019a. “Developing Mathematical Mindsets: The Need to Interact with 36 Numbers Flexibly and Conceptually.” American Educator 42(4): 28. 2 37 Boaler, Jo. 2019b. Limitless Mind. Learn, Lead and Live without Barriers. New York: 38 Harper Collins. 39 Boaler, Jo. 2019c. Everyone Can Learn Mathematics to High Levels: The Evidence 40 from Neuroscience that Should Change our Teaching. American Mathematics Society. 41 https://blogs.ams.org/matheducation/2019/02/01/everyone-can-learn-mathematics-to- 42 high-levels-the-evidence-from-neuroscience-that-should-change-our-teaching/#more- 43 2392. 44 Boaler, Jo, Lang Chen, Cathy Williams, and Montserrat Cordero. 2016. “Seeing as 45 understanding: The importance of visual mathematics for our brain and learning.” 46 Journal of Applied & Computational Mathematics 5(5): 1-6. 47 Boaler, Jo, Jack Dieckmann, Graciela Pérez-Núñez, Kathy Sun, and Cathy Williams. 48 2018. “Changing Students Minds and Achievement in Mathematics: The Impact of a 49 Free Online Student Course.” Frontiers in Education 3:26. 50 Boaler, Jo, Jen Munson, and Cathy Williams. 2018. “What is Mathematical Beauty? 51 Teaching through Big Ideas and Connections.” Youcubed.org. 52 https://www.youcubed.org/wp-content/uploads/2017/11/Big-Ideas-paper-12.17.pdf. 53 Boaler, Jo, and Megan Staples. 2008. “Creating Mathematical Futures through an 54 Equitable Teaching Approach: The Case of Railside