Mindset-Mathematics-Teaching-Guide-FINAL

Mathematical Mindset Practice 1: Growth Mindset Culture Beginning Developing Expanding Mindset Brain and belief Belief messages are Brain and belief Messages messages are never given occasionally or messages are given in a given or only to some meaningful way “I know too generically students you can do this”, “As you learn this a pathway forms in your brain” Praising the Praise is focused on Praise is sometimes Effort, ideas, and Learning Process answers rather than focused on effort and strategies are effort and progress in consistently process recognized and thinking praised Students’ Students talk about Students convey a Students show self- Mindsets some students being mix of confidence and belief and confidence “math people” and doubt in themselves some not Copyright © 2018 youcubed. All rights reserved. 1

Mathematical Mindset Practice 2: Nature of Mathematics Beginning Developing Expanding Open Tasks Tasks are relatively Rich tasks are Tasks are closed, emphasizing occasionally used mathematically rich in procedures with little reasoning reasoning opportunities, allowing for different approaches and visuals Reasoning Maths work does not Occasionally multiple Students use and share and Multiple include reasoning, methods and visuals different ideas, visuals, Perspectives visuals, or multiple perspectives are elicited and and methods & use explored ownership words - e.g. “my method” Depth Over Strong emphasis on Occasional emphasis Emphasis is on depth, Speed speed, memorization, on speed, creativity, visuals, and and correct answers mathematical beauty memorization, and correct answers Copyright © 2018 youcubed. All rights reserved. 2

Mathematical Mindset Practice 3: Challenge & Struggle Beginning Developing Expanding Mistakes Complete and correct Mistakes are Mistakes are valued, work is emphasized, acceptable but not students are mistakes are explored comfortable sharing discouraged even if unsure Struggle & Students expect and At times struggle is Struggle is valued - Persistence rely on teacher celebrated, at others e.g. “This is the best students are led to a assistance when they time for brain struggle solution growth.” Students persist longer. Questioning Questions are low- Deep thinking Questions are open challenge or narrowly questions are and encourage occasionally used focused multiple methods, ways of seeing and thinking Copyright © 2018 youcubed. All rights reserved. 3

Mathematical Mindset Practice 4: Connections & Collaboration Beginning Developing Expanding Mathematical Maths is presented as Connections are Connections between Connections a set of disconnected implied but seldom ideas, methods, and representations are ideas discussed highlighted and explored through visuals, movement, and creativity Connecting in Student discussion is Student discussion is Students collaborate Small Groups not encouraged encouraged but only and build off each some students take part other’s ideas and all students are involved Connecting as No opportunities for Class discussion is Students talk directly a Whole Class whole class discussion encouraged - e.g. “Does to each other; the anyone want to respond teacher is just one to ____’s idea?”, but most member of the mathematical interactions are community teacher-student Copyright © 2018 youcubed. All rights reserved. 4

Mathematical Mindset Practice 5: Assessment Beginning Developing Expanding Nature of Harsh grading; Standards based Assessment is used Feedback grading on a curve, grading - with formatively - e.g. verbal, ranking, no revisions, feedback on standards written, and ongoing punitive met. Revisions are feedback on specific allowed. learning goals. Revisions are encouraged. Frequency of Grades and Grades and other Learning culture with Testing and tests/quizzes summative measures diagnostic feedback are frequent, are only given at the Grading performance culture end of unit Multiple Assessment is based Assessment includes Formative assessment Forms of on tests, quizzes, and more valuing a broad form Assessment homework. Focus in on of mathematics - e.g. multidimensional answers only. evidence of learning, example visuals, making sense, multiple not only answers methods Copyright © 2018 youcubed. All rights reserved. 5