As mathematical patterns become more complex, students' conditional reasoning skills need to be nurtured so that students continue to critique, construct, and persevere in making sense of these complexities. This article describes a mathematical task designed around the online version of the game Mastermind to safely foster conditional reasoning.
Sean P. Yee, George J. Roy, and LuAnn Graul
Katherine Baker, Naomi A. Jessup, Victoria R. Jacobs, Susan B. Empson, and Joan Case
Productive struggle is an essential part of mathematics instruction that promotes learning with deep understanding. A video scenario is used to provide a glimpse of productive struggle in action and to showcase its characteristics for both students and teachers. Suggestions for supporting productive struggle are provided.
Jennifer A. Czocher, Diana L. Moss, and Luz A. Maldonado
Conventional word problems can't help students build mathematical modeling skills. on their own. But they can be leveraged! We examined how middle and high school students made sense of word problems and offer strategies to question and extend word problems to promote mathematical reasoning.
Amber G. Candela, Melissa D. Boston, and Juli K. Dixon
We discuss how discourse actions can provide students greater access to high quality mathematics. We define discourse actions as what teachers or students say or do to elicit student contributions about a mathematical idea and generate ongoing discussion around student contributions. We provide rubrics and checklists for readers to use.
Ryan Seth Jones, Zhigang Jia, and Joel Bezaire
Too often, statistical inference and probability are treated in schools like they are unrelated. In this paper, we describe how we supported students to learn about the role of probability in making inferences with variable data by building models of real world events and using them to simulate repeated samples.
Dr. Zandra de Araujo, Ms. Deborah Hanuscin, and Ms. Samuel Otten
In this paper we discuss different ways teachers can integrate science and mathematics into their curriculum. In particular, we focus on science and mathematics integration via the disciplinary practices.
Krista L. Strand and Katie Bailey
K-5 teachers deepen their understanding of the Common Core content standards by engaging in collaborative drawing activities during professional development workshops.
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.
Amanda Sibley and Terri L. Kurz
Here is a simple way to turn an ordinary whiteboard into an interactive tool that allows students to design and build pathways along which a sliding object will flow—within certain constraints—to reach its final destination. Students must reason, conjecture, test, conjecture again, and then retest their design features to determine a solution to the presented investigation.
Nicole Pitsolantis and Helena P. Osana
Three specific sites, or points in real time, during problem solving gave fifth and sixth graders conceptual understanding, procedural skill, and the ability to justify their mathematical thinking about fractions.