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Striking a balance between broad questions encouraging questions. Questioning strategies that encourage and reveal student thinking and discourse are developed with teachers.

Teaching Children Mathematics

Communication

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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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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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A model for using representation engages teachers
in translating between multiple representations of a problem, and offers new
lenses to examine students’ own work with representations.

Teaching Children Mathematics

Representation

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Assessment techniques, including pre- and post-assessments,
are evaluated and analyzed for improvement.
A framework~~ ~~ for crafting goals and associated assessments
is developed.

Mathematics Teacher

Assessment/Testing

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Teachers examine their own understandings of the metric system and reflect on its use in the United States. Classroom activities built around the strengths of the system are developed.

Teaching Children Mathematics

Measurement

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Different approaches to a problem provide insights into different
aspects of the mathematical content. Analyze
how students’ approaches vary and open the door to ratio, proportion, and
fractional and inverse relationships.

Mathematics Teacher

Connections

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Framework for a creating equitable classroom environment through an inclusive and inviting atmosphere from the analysis of student work. Establishing opportunities in your classroom for all students to succeed in math.

Mathematics Teacher

Algebra

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Necessary and sufficient definitions of geometric figures as it applies to squares and rectangles opens up a conversation about students building the quadrilateral “family tree.” Communication and reasoning skills emerge out of geometry definitions.

Teaching Children Mathematics

Geometry

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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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Identifying and creating opportunities for students to engage in algebraic thinking. . Teachers learn strategies for mining daily activities for opportunities to generalize and extend what students already know.

Teaching Children Mathematics

Algebra

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Evaluate your current curriculum model and formulate a method for changing/refining your current practice to make it a student-driven curriculum.

Mathematics Teacher

Curriculum

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The difference between a
mathematical argument and a simple explanation are developed for teachers, including
supporting strategies for teachers to develop students’ ability to justify
their thinking.

Teaching Children Mathematics

Reasoning, Sense Making and Proof

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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

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Questioning strategies are developed around students’ use of multiple representations and technology as it relates to algebraic reasoning.

Teaching Children Mathematics

Technology

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How perceptions influence the choice of instructional style used in the classroom, and how the choice of instructional style impacts the students’ learning style.

Journal for Research in Mathematics Education

Equity

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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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Five types of representations and how they can be used to enhance student learning and understanding of student learning. Questioning techniques designed to use student interactions and feedback to increase understanding.

Mathematics Teacher

Representation

System.Xml.XmlNode[]

Incorporate digital cameras in the classroom making
connections between digital images, real-world phenomenon and math. Create a digital image library that connects
to math concepts.** **

Mathematics Teacher

Technology

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Reflect on current practice and how algebraic
ideas can be represented in multiple ways.
Explore how the multiple representations and be used for vertical
connections across grade bands, and connections with different content areas.

Mathematics Teacher

Algebra