The Teaching for Robust Understanding framework facilitates online collaborative problem solving with digital interactive notebooks that position all students as doers of mathematics.
Courtney K. Baker, Terrie M. Galanti, Kimberly Morrow-Leong, and Tammy Kraft
This department provides a space for current and past PK–12 teachers of mathematics to connect with other teachers of mathematics through their stories that lend personal and professional support.
Amanda K. Riske, Catherine E. Cullicott, Amanda Mohammad Mirzaei, Amanda Jansen, and James Middleton
We introduce the Into Math Graph tool, which students use to graph how “into" mathematics they are over time. Using this tool can help teachers foster conversations with students and design experiences that focus on engagement from the student’s perspective.
Crystal Kalinec-Craig, Emily P. Bonner, and Traci Kelley
This article describes an innovation in an elementary mathematics education course called SEE Math (Support and Enrichment Experiences in Mathematics), which aims to support teacher candidates (TCs) as they learn to teach mathematics through problem solving while promoting equity during multiple experiences with a child. During this 8-week program, TCs craft and implement tasks that promote problem solving in the context of a case study of a child’s thinking while collecting and analyzing student data to support future instructional decisions. The program culminates in a mock parent–teacher conference. Data samples show how SEE Math offers TCs an opportunity to focus on the nuances of children’s strengths rather than traditional measures of achievement and skill.
A series of tasks encourage students to reflect on the reasonableness of their number sense and use benchmarks to refine their estimations.
Theresa J. MacVicar, Amy R. Brodesky, and Emily R. Fagan
A teacher uses formative assessment interviews to uncover evidence of students’ understandings and to plan targeted instruction in a mathematics intervention class. We present an example of a student interview, a discussion of the benefits and challenges of conducting interviews, and actionable suggestions for implementing them.
LouAnn H. Lovin
Moving beyond memorization of probability rules, the area model can be useful in making some significant ideas in probability more apparent to students. In particular, area models can help students understand when and why they multiply probabilities and when and why they add probabilities.
Erell Germia and Nicole Panorkou
We present a Scratch task we designed and implemented for teaching and learning coordinates in a dynamic and engaging way. We use the 5Es framework to describe the students' interactions with the task and offer suggestions of how other teachers may adopt it to successfully implement Scratch tasks.
Emily R. Fagan, Cheryl Rose Tobey, and Amy R. Brodesky
Start with a strategic process to gather and interpret evidence of students' mathematical understandings and misconceptions; then aim your teaching to address identified needs.
Comparing two fractions gives a context for exploring students' flexibility with and understanding of mathematical ideas.