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.

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

### George J. Roy, Jessica S. Allen, and Kelly Thacker

In this paper we illustrate how a task has the potential to provide students rich explorations in algebraic reasoning by thoughtfully connecting number concepts to corresponding conceptual underpinnings.

### Daniel Edelen, Heather Simpson, and Sarah B. Bush

The incorporation of the “M” in STEAM must extend beyond simply a tool to address science and engineering standards (Authors, 2016; NCSM/NCTM, 2018). We present a mathematics- rich STEAM inquiry in which elementary students engaged in solving the issue of homelessness for one family in need.

### James Russo and Toby Russo

Math by the Month features collections of short activities focused on a monthly theme. These articles aim for an inquiry or problem-solving orientation that includes four activities each for grade bands K–2, 3–4, and 5–6. In this issue, teachers read the classic Dr. Seuss book The Sneetches and other stories with their class and get students to engage with these associated mathematical problems. The problems, many of which are open-ended or contain multiple solutions or solution pathways, cover a range of mathematical concepts.

### Lisa Brooks

Math by the Month features collections of short activities focused on a monthly theme. These articles aim for an inquiry or problem-solving orientation that includes four activities each for grade bands K–2, 3–4, and 5–6. This month's article considers one way to teach children to be lifelong learners: by applying problem-solving skills and a variety of math concepts at home, including time, measurement, basic operations, and fractions.

### Erin M. Meikle

For orchestrating whole-class discussions, note these suggestions to fine tune problem-solving techniques into cognitively challenging tasks.

### Travis A. Olson and Melfried Olson

This regular department of the journal features collections of short activities focused on a monthly theme. These articles aim for an inquiry or problem-solving orientation that includes four activities each for grade bands K–2, 3–4, and 5–6. Perhaps thinking of the more than fifty national food days that are celebrated in the month of October has tickled your students' taste buds enough to work up an appetite with these word problems and learn about all the foods that our nation celebrates this month.

### Faiza Jamil

Math by the Month features collections of short activities focused on a monthly theme. These articles aim for an inquiry or problem-solving orientation that includes four activities each for grade bands K–2, 3–4, and 5–6. This month's article presents mathematics word problems for students focused around the theme of pets. Solving these problems can help students apply mathematical thinking to authentic problems related to an interesting topic.

### Jody Guarino

Postscript items are designed as rich “grab-and-go” resources that any teacher can quickly incorporate into their classroom repertoire with little effort and maximum impact. In this article, classroom clocks are used as an effective tool to support student understanding of basic number, fraction, and geometry concepts.

### Beth Bos, Lucy Wilder, Marcelina Cook, and Ryan O'Donnell

The Common Core State Standards can be taught with Minecraft, an interactive creative Lego®-like game. Integrating Science, Technology, Engineering, and Mathematics (iSTEM) authors share ideas and activities that stimulate student interest in the integrated fields of science, technology, engineering, and mathematics (STEM) in K—grade 6 classrooms.