From the Archives highlights articles from NCTM’s legacy journals, previously discussed by the *MTLT* Journal Club.

# Browse

### Blake E. Peterson, Douglas L. Corey, Benjamin M. Lewis, Jared Bukarau, and Introduction by: Wendy Cleaves

### Stephanie D. Sigmon, Kelly Q. Halpin, Damien J. Ettere, and Jennifer Suh

This article models how to plan and facilitate implementing the same task in two sixth-grade classrooms with two different learning goals using the Five Practices structure.

### George J. Roy, Kristin E. Harbour, Christie Martin, and Matthew Cunningham

Using this strategy, a teacher facilitates a short conversation during which students verbally explain and justify reasoning. We have found that a coordinated series of number talks supports students’ reasoning when comparing fractions.

### Blake E. Peterson, Shari L. Stockero, Keith R. Leatham, and Laura R. Van Zoest

Do your students ever share ideas that are only peripherally related to the discussion you are having? We discuss ways to minimize and deal with such contributions.

### Jere Confrey, Meetal Shah, and Alan Maloney

Three learning trajectories and their connections show how to promote vertical coherence in PK–12 mathematics education.

### Jennifer Marshall

A series of tasks encourage students to reflect on the reasonableness of their number sense and use benchmarks to refine their estimations.

### Rachel Wiemken, Russasmita Sri Padmi, and Gabriel Matney

Teachers from two countries designed a model-eliciting activity about the global issue of wind energy. They share teaching and student outcomes from a cross-border engagement in the task with students from Indonesia and the United States through synchronous video conference.

### Aaron Brakoniecki, Julie M. Amador, and David M. Glassmeyer

Tasks and materials that allow for different approaches can help teachers incorporate student reasoning and can promote connections across different mathematical ideas.

### Brandon G. McMillan and Theodore Sagun

This instructional activity gives teachers access to student thinking that can be leveraged to extend and connect their ideas.

### Susan Baker Empson, Victoria R. Jacobs, Naomi A. Jessup, Ms. Amy Hewitt, D'Anna Pynes, and Gladys Krause

The complexity of understanding unit fractions is often underappreciated in instruction. We introduce a continuum of children's understanding of unit fractions to explore this complexity and to help teachers make sense of children's strategies and recognize milestones in the development of unit-fraction understanding. Suggestions for developing this understanding are provided.