Using Freire's idea of problem-posing for critical becoming, we unpack the dialogical relationships between teacher candidates and teacher educators striving to co-labor toward critical consciousness inside and outside a diversity course at a predominantly White university. Through qualitative measures, we attempt to illuminate how dialogical…

This article draws on the simple context of a two animal farm to create an engaging and mathematically meaningful problem solving task for students. It aims to encourage students to think systematically and to present their findings methodically. The task is structured sequentially, making it suitable for primary school students from Year 1 to…

The instructional rationale behind critical pedagogy is to provide students the opportunity to voice their personal stories and opinions, and to reflect and act upon social concerns relevant to their daily lives. Students can then practice being agents of transformation in their own lives, starting in the classroom. This paper is based on the…

The Common Problems Project (CP2) is an interdisciplinary, problem-based pedagogy that was launched in 2015 by four partner colleges in the State University of New York (SUNY) system (Cortland, Oneonta, Oswego, and Plattsburgh). Since its inception, 100 faculty have participated in CP2 and integrated the pedagogy into 134 courses to implement 47…

A problem-based learning activity focusing on the human impact on the environment and the importance of sustainable development is presented. The activity revolves around a mysterious island where the civilization is on the blink of extinction, prompting students to investigate how human behavior, ecosystems, resources, and natural balance…

Despite proficient math skills, students may struggle to make sense of and solve story problems. While educators are encouraged to promote the use of comprehension strategies, students must first understand vocabulary at all levels as they work to make sense of and solve math story problems. Language skills are a prerequisite for schema…

In this article, the authors describe an algebra 2 class activity, called the Exponent Maze, that had students practice many mathematics problems, display their creativity, and work together collaboratively by creating their own mazes. The authors discuss how they introduced the activity, what the students created, and how creating mazes can be…

Problem solving has been the focus of the Common Core State Standards for Mathematical Practice. Helping students acquire critical-thinking and problem-solving skills has become the primary goal of mathematics education across all grade levels. However, research has found that many students struggle with word problems because of poor text…

Universal Design (UD) involves the creation of accessible, flexible products that are functional for a wide population of users. Our problem-based learning exercise challenges student teams to create products and services guided by the principles of UD. After teams generate their new product concept, a spokesperson from each team pitches it in…

In this article, the author presents a teaching prompt--Write-it-Out--to instruct readers who seemingly guess at words with no or limited use of grapheme-phonemic correspondences to recontextualize word-solving into writing. Through the nature of this prompt, slowing down the pace of solving words on the run with writing also reciprocally builds…

Teacher educators are charged with supporting adult learners as they prepare to collaborate with diverse families and colleagues. In this research, we examined how a cohort of teacher candidates (N = 29) developed over a semester in their understanding, dispositions, and knowledge of strategies for partnership through the "dilemmas"…

Quadratic modeling problems are commonplace in high school mathematics courses; they typically situate quadratic patterns of change and their corresponding parabolic graph within real-world contexts. Traditional approaches to this type of problem lend themselves to making connections across different representations (e.g., Garofalo and Trinter…

Strategies are proposed that promote use of an Integrated Applied Mathematics (IAM) approach to enhance teaching of advanced problem-solving and analysis skills. Three scenarios of 1-dimensional transport processes are presented that support using Error Function analyses when considering short time/small penetration depths in finite geometries.…

School counseling graduate programs can fall short of preparing students with authentic and systems-focused skills in classroom instruction. We offer three problem-based learning assignments for counselor educators to help school counselors-in-training develop pedagogical skills and deliver lessons that address authentic problems facing students…

This article presents several mathematics problems on the same theme that can be used in class or for independent study. It is very difficult to show students how mathematics research is done by mathematicians, so the author first introduces a problem that can be tackled solely by arithmetic and then gives an idea of how a mathematician might…