This paper reports the statistical and probabilistic reasoning of young children in terms of randomness, variability, and data representations in the context of informal inferential reasoning (IIR). Using the IIR approach, a task was designed and conducted one-on-one with 28 children aged 5 to 6 years old, in a case study setting. The researcher…

In "The Purpose-Driven Classroom", author Daniel L. Vollrath uses dispositional teaching to address productivity and promote positive habits in the classroom. He presents seven productive behaviors that general education teachers can teach to all students across all content areas. In utilizing this book's productive behavior strategies,…

The hundreds chart is a valuable tool for teachers in elementary mathematics classrooms. The present study investigated the effects of spatial configurations of virtual hundreds charts on children's knowledge of base-ten concepts. Kindergarten and first-grade students were assigned to three instructional conditions in which they worked with a…

In this article, James presents the Extended Hundreds Chart, a task he used with Year 6 students to explore their thinking about and representations of negative numbers.

This article provides an in-depth look at how K-12 students should be introduced to Machine Learning and the knowledge and skills they will develop as a result. We begin with an overview of the AI4K12 Initiative, which is developing national guidelines for teaching AI in K-12, and briefly discuss each of the "Five Big Ideas in AI" that…

This article describes Ulrich Kortenkamp's Place Value Chart app and the accompanying teacher guide developed by the members of an international research team led by regular contributor Kevin Larkin.

This study investigated the graphing skills and some affective states of middle school students about graphs by their gender, grade level, and the common graph types used in science courses. Participants' line graph skills, selfefficacy beliefs and attitudes toward graphs, and their personal literacy perceptions about different graph types (line,…

If you were to walk into this second-grade classroom during reading workshop, you would notice students reading books specific to their reading level and interest. You would also notice students using different tools to support their reading development. One of the teacher's goals is to help students become independent readers who are able to…

First Pamela Koutrakos delivered a systematic approach to inquiry-based, student-centered, and joyful word study in her book "Word Study That Sticks." Now, in "The Word Study That Sticks Companion," Koutrakos offers tools and resources to help teachers put those structures, lessons, and routines into action. Loaded with…

In this paper I discuss the possibilities for exploring the hundred chart kinesthetically with elementary preservice teachers using a life-size hundred chart--an innovative tool, homemade from a shower curtain--to build quantity sense. Preservice teachers explored creative approaches to teach mathematics using the life-size hundred chart and…

The textbook is often a primary resource for teachers in elementary content areas, and it is often used to the exclusion of other resources. Research indicates that students may not have sufficient exposure to elements of nonfiction texts in order to be successful when encountering them in the content area. For many years, there has been little…

The "Next Generation Science Standards" ("NGSS") and the guiding "Framework" invite students to engage in practices of scientific argumentation and modeling through which they can collaborate as young scientists and develop understandings of disciplinary core ideas and crosscutting concepts. This article shares…

This theoretical paper describes how Community-based Mathematical Modeling can advance equity and cultivate civic empathy in elementary school settings. We provide a framework for community-based mathematical modeling instruction consisting of five goals: facilitating connections, fostering engagement, promoting rigor, cultivating civic empathy,…

Visual representations and manipulatives are a highly advocated mathematical tool for the teaching and learning of multiplication and division. Although there is some prior research on elementary teachers' general use of manipulatives and visual representations, there is little to no specific focus on use of such representations on a specific…

To become scientifically literate, students need to interpret science concepts using numbers, text, and visuals (Lemke 2004). Scientists use multiple modes to communicate their ideas to each other and the public, including images, text, mathematical notations, symbols, diagrams, charts, and graphs. Several of the science and engineering practices…