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,…

This extensively updated teaching resource provides over 100 engaging, full-color visuals with explanations of how they can be used to stimulate mathematics learning, to explain mathematical concepts, and to assess students' mathematical understanding in grades K-8. Readers are provided with a strong mathematical background, downloadable copies of…

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…

Frameworks that connect to the Common Core State Standards for English Language Arts and Literacy in Social Studies, such as the College, Career, and Civic Life (C3) Framework for Social Studies States Standards, highlight the need to engage in inquiry-based instruction (NCSS, 2013). Participation in such inquiry requires students to engage in…

Two of the Standards for Mathematical Practice (SMP) in the Common Core State Standards for Mathematics (CCSSM; NGA Center and CCSSO 2010), "Look for and use structure" (SMP 7) and "Look for and express regularity in repeated reasoning" (SMP 8), are particularly abstract and sometimes clear only in the mind. For a given…

The Common Core State Standards for Mathematics emphasize the importance of developing students' conceptual understanding, mathematical reasoning, and problem solving skills. This is a shift from the traditional approach to teaching mathematics and many teachers rely on curriculum resources to help them meet these new standards and expectations.…

Natural disasters often receive massive media attention. The headlines can engage students to think mathematically and scientifically about the world around them. 'Principles and Standards for School Mathematics' explicitly encourages instruction where students "recognize and apply mathematics in contexts outside of mathematics" (NCTM…

Analytical reading and writing are embedded in a disciplinary approach to history instruction and present opportunities to extend students' literacy practices. U.S. educators and researchers have come to rely on the Document-Based Question (DBQ) to assess and develop students' historical knowledge and argument writing. However, this task has been…

In this paper, a learning progression for geometric transformations is developed based on research that demonstrates the importance of viewing transformations as functions of the plane. The 5 levels of the progression reflect a student's evolving understanding of transformations as functions and their evolving understanding of the domain of these…

Purpose: Critical thinking pervades formal educational benchmarks in the United States, including the Common Core State Standards. However, little information is available on how it develops. Hence, the primary purpose of this study was to examine the development of critical thinking in adolescents using a written language-sampling task. We also…

Watching a debate can help people understand multiple points of view. At the conclusion of a debate, a consensus might occur after a deep analysis and discussion of the issues. Most students will participate in a class debate at some point in their schooling, but chances are that debate will not take place in math class. What could there be to…

Given the importance of writing, especially in light of college and career readiness emphasis, and the observations that time spent writing in context diminishes over a student's years in school, this article proposes to reignite writing instruction in elementary classrooms through three practical approaches for supporting students in authentic…

Teachers play a crucial role in helping students develop the skills needed for success in school, career, and life. These skills--which are a focus in the Common Core State Standards (CCSS)--include higher-order thinking and complex literacy skills, such as reading, writing, and citing evidence from texts. Professional development (PD) can…

To serve children with language impairments (LI), speech language pathologists and other educators need approaches supported by evidence (Hoffman et al., 2013). In evidence-based practice (EBP), educators integrate children's needs, strengths, interests, and preferences with research and expertise (American Speech-Language-Hearing Association,…

There is a need to teach the pivotal skill of mathematical problem solving to students with severe disabilities, moving beyond basic skills like computation to higher level thinking skills. Problem solving is emphasized as a Standard for Mathematical Practice in the Common Core State Standards across grade levels. This article describes a…