Students, even as young as kindergarten, are natural problem solvers (Carpenter et al., 2017). Even before they learn to count, they can make sense of mathematical problems and real- world situations (National Council of Teachers of Mathematics, 2022). Kindergartners can make sense of complex story problems, including Separate Start Unknown…

Mathematics assessments should allow all students opportunities to demonstrate their knowledge and skills as problem solvers. Looking at textbook word problems, the authors share a process for revising them using Universal Design for Learning (UDL). Outlined in detail here are problems for kindergarten, grades 5 and 7, and high school (algebra).

In this article, we provide guidance about when planned ignoring should be considered, questions that may arise, and step-by-step procedures for implementing. A scenario of a kindergarten student is used to illustrate planned ignoring and possible questions regarding implementation in an educational setting. Forms and resources are provided to…

Students encounter mathematics word problems as early as kindergarten and continue to see them throughout their schooling experience. Schema instruction with an attack strategy can support students to successfully navigate word-problem solving. Schemas help students categorize word problems by similar characteristics. To better support students…

The Learning Forward Academy is Learning Forward's flagship deep learning experience, committed to increasing educator and leader capacity and improving results for students in the ever-changing landscape of education. For over 30 years, the academy has supported the problem-based learning of teachers, teacher leaders, instructional coaches,…

Simplified, reductionist approaches to curriculum design and delivery are pervasive in science education. In ecological curricula--particularly in, but not limited to K-12--biomes, ecosystems, habitats, and other units of study are simplified and presented as static, easily identified and described entities. Characteristics, components, and…

In this article, the authors share frameworks for problem types and students' reasoning about integers. The authors found that all ways of reasoning (WoRs) were used across grade levels and that specific problem types tended to evoke particular WoRs. Specifically, students were more likely to use analogy-based reasoning on all-negatives problems…

Young children love opportunities to build, discover, and solve problems. Teachers can take advantage of these natural tendencies by introducing students to aspects of engineering design while they engage in classroom activities. Engineering also lends itself to supporting students in developing disciplinary literacy practices such as learning…

The authors illustrate how using design thinking allows learners to empathize with the perspectives of others, engage in collaborative problem-solving, practice communicating effectively, and respond to struggle or failure throughout the process.

We present in this paper a pair of approaches to support mathematics educators and learners in formulating original tasks. In particular, we facilitate the posing of rich mathematical problems by using two novel methods that were created by a mathematics department at a K-12 school in the United States, and further developed alongside our students…

This paper reports on a project that sought to enhance problem-solving practices within a cluster of primary schools. In-service teachers' description of their approach to problem-solving suggested it was treated as an isolated practice that occurred after concepts had been taught; often focusing on teaching particular problem-solving strategies…

Providing opportunities for elementary students to engage with enduring social issues, such as houselessness, is essential in preparing informed, engaged, and social justice-oriented citizens. This article draws from the following standards: (1) C3 Framework for Social Studies Standards that center inquiry; (2) Learning for Justice's Social…

In this article, the authors introduce the "Pre-K-12 Guidelines for Assessment and Instruction in Statistics Education II (GAISE II): A Framework for Statistics and Data Science Education" report. This report, which was published by the American Statistical Association (ASA) and endorsed by the National Council of Teachers of Mathematics…

This article shares lessons from committed and inspirational educators from across the country with whom the Center for Information and Research on Civic Learning and Engagement (CIRCLE) worked in 2020. Their experiences reinforce that nonpartisan teaching about democracy is possible (i.e., not teaching who to vote for, but rather how the system…

Building students' understanding of cardinality is fundamental for working with numbers and operations. Without these early mathematical foundations in place, students will fall behind. Consequently, it is imperative to build on students' strengths to address their weaknesses with the notion of cardinality.