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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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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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Student Mathematical Discourse reveals how
students represent, think, talk, question, agree, and disagree in the classroom.
Strategies for increasing student discourse are developed.** **

Mathematics Teacher

Communication

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Mathematical literacy through the lens of a
student reveals student misconceptions due to a lack of connections between
mathematical content with real-world situations.** **

Mathematics Teacher

Teaching and Learning Instruction

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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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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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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

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Compare and contrast lessons from two distinct
textbooks along with your schools current curriculum using the Curriculum
Principle.

Mathematics Teaching in the Middle School

Curriculum

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Through solving and analyzing various
proportionality problems teachers develop better understanding of the
challenges and additional skills for connecting proportionality with other mathematical
areas.

Mathematics Teaching in the Middle School

Connections

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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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Changing teachers’ verbal reactions to students after they expressing their thinking allow additional student responses to emerge. The consequences of these changes, including changes in classroom discourse, in student models, as well as teachers’ own vulnerabilities are explored.

Teaching Children Mathematics

Assessment/Testing

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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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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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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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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

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

System.Xml.XmlNode[]

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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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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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