This article describes the two types of reasoning in fraction conceptions that students often use, "gap" and "missing piece," and one that the authors aspire their students to reach, "residual." Each of these types of reasoning are underpinned by a different conception of fractions. Students who use "gap…

Understanding negative numbers can be challenging for many students, as these concepts may seem less tangible than counting objects, which are commonly represented by positive numbers. In addition, the multiplication of two negative numbers resulting in a positive might appear inconsistent and puzzling to young learners who are used to seeing the…

Renee Hobbs argues that schools must teach students how propaganda works so that they can better understand the messages they see around them. In an interview with Kappan editor Rafael Heller, she describes how propaganda -- and instruction about it -- has evolved over time. Although there have been periods where it was discussed extensively in…

In this article, the author describes strategies to support students in conjecturing in ways that promote their agency. Conjecturing involves justifying (i.e., a practice that promotes epistemic agency and engages students in mathematical reasoning to defend their claims; Bieda & Staples, 2020) by which a conjecture becomes proven, modified,…

Abstract concepts, such as gravity, may provide the perfect opportunity to bring phenomena into the classroom. As a knowledge generation strategy, summarizing can foster that opportunity. Using phenomena and summary writing together might help student learning since it requires making connections between their ideas and words to explain the…

In the USA, the Common Core Standards in Mathematics for the early grades (K-3) are designed to build on and develop students' number sense as students gain understanding of the structures of addition, subtraction, multiplication and division. It is well understood in teaching circles that subtraction is notoriously more difficult for students…

There's a lot to love about this newly expanded book in the Picture-Perfect Science series: You can combine STEM and reading through appealing lessons that are just right for your second-grade students. Also, reading comprehension strategies are embedded in all 12 of the ready-to-teach lessons, 11 of which are updated and one brand-new. The goal…

Emphasis in teaching and learning statistics has shifted from memorizing formulas and procedures to investigating situations, creating models, and using data to understand problems. The Common Core State Standards for Mathematics (CCSSM) (NGA Center and CCSSO 2010) Grade 8 Statistics and Probability content standards drive this point home.…

Teachers are constantly looking for new ways to make mathematical procedures such as radical simplification meaningful for students. In classes, teachers discovered what researchers have long known, that students who only memorize a set of steps get confused when their steps do not match a new problem or scenario perfectly. The area and side…

Purpose: The impact of morphological knowledge on students' literacy development has been well documented. The purpose of this tutorial is to illustrate how school-based speech-language pathologists (SLPs) can target morphology in their interventions to support their students' literacy development. Method: This tutorial includes a review of the…

Students in a college literature class have been formed by conflicting approaches to literary pedagogy. The Common Core Standards deemphasize formative reading in favor of close reading, post-reading analysis of literary elements. A counter-movement, with its own network of publications and workshops, emphasizes formative reading, emotional…

To craft engaging nonfiction prose, young writers should focus on a specific idea or concept of interest and use acclaimed children's books as mentor texts to help them understand options for developing their ideas. In this article, the authors provide examples of high-quality children's nonfiction for exploring various formats and text structures…

This article describes a modeling project the author did with his algebra, geometry, and applications students in grades 9, 10, and 11 as an enrichment and exploration of an extremely relevant real-world phenomenon and introduction to the adult profession of epidemiologist. With discussion and exploration, this project consumed two periods of 88…

Facilitating meaningful discourse directly supports what students should be able to do with respect to the third of the eight Standards for Mathematical Practice (SMP 3) in the Common Core State Standards for Mathematics (NGA Center and CCSSO 2010): "Construct viable arguments and critique the reasoning of others" (p. 6). Following best…

What drives many educators is the need to advocate for students for whom the system does not work. Educators need to find ways to close the equity gap for English learners and kids living in poverty, and that means they need to find ways to improve their access to a high-quality education. As a key strategy for building teachers capacity to…