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## Enacting Co-Craft Questions Using Flexible Teaching Platforms

Teachers can implement a mathematics language routine within in-person/hybrid and remote instructional contexts.

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## Formative Assessment in Secondary Mathematics: Moving Theory to Recommendations for Evidence-Based Practice

Mathematics teacher educators play a key role in supporting secondary mathematics teachers’ development of effective, research-based formative assessment (FA) practices. We used qualitative research synthesis as a tool to identify actionable recommendations for mathematics teacher educators as they work with teachers on FA practices in secondary classrooms. These recommendations can strengthen the research-based practices of mathematics teacher educators as they support teachers’ collections and uses of FA data to move student thinking forward in secondary mathematics. We share and discuss recommendations for mathematics teacher educators to connect pedagogical content knowledge of students, teaching, and curriculum to FA practices. We also highlight the usefulness of the qualitative synthesis method, meta-aggregation, for generating research-based connections between theory and practice in mathematics education.

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## Rethinking Wait Time: What Can 3 Seconds Do?

A high-leverage strategy first discussed more than 50 years ago, wait time has many benefits for both teachers and students yet is not used to its full potential. See how it can enhance your students’ mathematical discourse.

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## Variations on a Theme of Fibonacci 1

We introduce variations on the Fibonacci sequence such as the sequences where each term is the sum of the previous three terms, the difference of the previous two, or the product of the previous two. We consider the issue of the ratio of the successive terms in ways that reinforce key behavioral concepts of polynomials.

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## S3D: Small-Group, Student-to-Student Discourse

Learn about strategies and tools to examine and improve your practice with respect to fostering equitable small-group, student-to-student discourse.

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## Exploring Geometry with Origami One-Cut-Heart

One-Straight-Cut-Heart activities can help teachers support students’ engagement with geometry and can deepen students’ geometric reasoning.

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## Using School Mathematics to Develop Students’ Data Literacy Skills

To be literate in a society where the information shared online is often exploited, learners should be exposed to multiple aspects of contemporary predictive modeling. Explore a lesson in which students learned an algorithm used in practice to automate the process of making recommendations.

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## Making Connections Between Representations

Three approaches to the Doughnut task highlight how representing functions in multiple ways can support student understanding in interpreting key features of functions within a context.

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## Exploring Sequences Related to Medial Triangles

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## Routines for Learning Modeling Practices and Content

The authors share a teacher-designed mathematical modeling routine geared to support teachers and to leverage opportunities for their students in learning important modeling practices and mathematical content.