Professional Development Guide based on NCTM's publication, Principles to Actions: Ensuring Mathematical Success for All.
Other Publications
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How real-world problems enhance student learning
and teachers’ understanding of student learning. Extend student’s understanding of area and
volume through real-world context.
Mathematics Teacher
Measurement
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Explaining why an algorithm works challenges teachers to review and develop their conceptual understanding. The value of this process is applied to their students.
Teaching Children Mathematics
Teaching and Learning Instruction
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Reasoning deductively to analyze problem approaches and comparing theoretical and experimental probabilities. Classroom insights on how to allow students more opportunities for personal discovery.
Mathematics Teacher
Probability, Data Analysis, and Statistics
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Student responses to an algebraic task bring
teachers insight into students’ approach, their interpretation and what
knowledge they drew on in answering the question. Learn how to plan better instruction to develop
students’ understanding of mathematical proofs.
Mathematics Teacher
Reasoning, Sense Making and Proof
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Develop
and strengthen students’ algebraic and geometric reasoning and representations and
justification skills while studying patterns in a toothpick task.
Mathematics Teaching in the Middle School
Reasoning, Sense Making and Proof
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Student work samples are used to develop teachers’ ability
to determine students’ algebraic thinking from their work.
Mathematics Teaching in the Middle School
Algebra
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Acknowledging disequilibrium and fostering struggle in students while challenging can become part of the learning routine. Teachers use a first grade teacher’s experiences to develop strategies to embrace struggle in their own classrooms.
Teaching Children Mathematics
Teaching and Learning Instruction
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How
to help students generalize and transfer procedures and strategies for a
particular problem to a more generalized system that can be used to solve other
types of problems.
Journal for Research in Mathematics Education
Probability, Data Analysis, and Statistics
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Role
of mental mathematics and how it applies to clear objectives for what students
should be able to do mentally. Engage teachers in linking mental mathematics
strategies with critical thinking strategies in the classroom.
Mathematics Teacher
Number and Operations
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The Before-During-After (BDA) lesson format is developed and applied to assess students’ prior knowledge, engage every student in communication, promote higher-level thinking, and connect math to the real world.
Mathematics Teacher
Teaching and Learning Instruction
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Advantages and disadvantages of different mathematical
representations are developed for teachers and applied through a rich task to
engage students in higher level activities.
Mathematics Teaching in the Middle School
Representation
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Verbal interaction between teachers and students is studied. Strategies for identifying and addressing inequitable aspects of one’s own teaching practice are developed with teachers.
Teaching Children Mathematics
Equity
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Raise awareness, start a conversation about equity,
and begin to examine practices teachers can change that impact students. Includes multiple cases that can be used to
identify and explore strategies for creating equitable classroom environments.
Mathematics Teaching in the Middle School
Equity
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Implementing the Reasoning and Proof Standard in Geometry
and Algebra classes by exploring a problem inductively before doing a deductive
proof.
Mathematics Teacher
Reasoning, Sense Making and Proof
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Classes of multiplication problems and their representations
provide teachers with tool for better assessing student understanding. A lesson on problem writing assists teachers in
moving the strategy to the classroom.
Teaching Children Mathematics
Number and Operations
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Myths/beliefs on teaching through
problem solving are analyzed. Guided
discussion assists teachers in understanding and reflecting on their own
beliefs.
Teaching Children Mathematics
Problem Solving
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Problem Solving with
multiple content-rich tasks to guide the discussion are evaluated. Student solutions
focusing on their strategies and potential questions to strengthen student’s
problem solving skills are examined.
Mathematics Teaching in the Middle School
Problem Solving
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Collaborative design of
technology-enhanced mathematics lessons with the use of a structured planning
guide provides teachers a framework for increasing mathematical thinking and
enhancing the teaching and learning.
Teaching Children Mathematics
Technology
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What the arithmetic mean represents and doesn’t tell us are developed with teachers. Data set and mean exploration and comparison develops deeper understanding and leads to more meaningful instruction about finding averages.
Mathematics Teaching in the Middle School
Probability, Data Analysis, and Statistics