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This guide explores the essential role of discourse in mathematics classrooms, particularly during the transition to Common Core standards. It highlights effective teacher and student behaviors that promote meaningful discussions and critical thinking. Many issues arise from a reliance on textbook problems and rote memorization, which stifles reasoning skills. The guide presents activities like "Twenty Questions" to help educators assess and elevate the quality of questions posed in class. By fostering a culture of inquiry, we can prepare both teachers and students for a rigorous mathematics curriculum.
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Promoting Discourse in the Mathematics ClassroomTransitioning to the Common CoreOffice of Secondary Mathematics
What does discourse mean?What teacher and student behaviors occur in a classroom where the teacher promotes discourse? Discussion
Research Reveals • Most math problems come from textbooks • Pre-service teachers have little exposure to • creating and developing authentic problems • The focus is on memorization and procedures • instead of reasoning and critical thinking • Understanding mathematics is directly connected • to the creation and exploration of questions
Transitioning to the Common Core • 93% of teacher questions are knowledge • based focusing on recall of facts. • The National Council for Teachers in • Mathematics encourages teachers to • increase student participation by • “posing questions that elicit, engage, • and challenge student’s thinking.
Transitioning to the Common Twenty Questions /Twenty Minutes An activity designed to help teachers evaluate the levels of questions asked and the determine the level of discourse in their classroom
Transitioning to the Common Core http://www.odu.edu/educ/roverbau/Bloom/blooms_taxonomy.htm
Activity Rank the questions provided
Transitioning to Common Core • What evidence do you have that your selection is correct? • Convince your neighbor that your answer is correct.
Preparing Teachers and Students for the Common Core Curriculum • What type of follow up questions can be asked of a student that provides the correct answer to a knowledge based question ? • How can you rewrite the question to create discourse?
Preparing Teachers and Students for the Common Core Curriculum http://www.nctm.org/publications/mt.aspx?id=8594
Remember: The children in the Wright family are aged 3, 8, 9, 10, and 5. What is their average age?
Consider There are five people in a family and their average age is 7. What might their ages be?
Typical Question Round 11.8 to the nearest whole number.
What If… My coach timed me running 100 meters in about 12 seconds. What numbers might have been on the stopwatch?
Consider What is 20% of 35?
Try this instead I pay $50 per month plus $.05 per minute for my cell phone. What could be my bill for this month and how many minutes did I use?
Try This There are 6 birds and 2 cats. If the answer is.. a. 20 b. 8 c. 4 What could the question be?
Preparing Teachers and Students for the Common Core Curriculum • How can we team within the department to be more intentional about creating discourse? • Ideas and/or suggestions?
