An active learning class exercise is presented that gives students the personal experience of the decision-making limitations of mental models. This innovative exercise was shown to increase student learning through greater understanding of the concept and higher retention of knowledge. The results suggest that student critical thinking skills…

The objective of this research was to explore design thinking among teams of high school students. This objective was encompassed in the research question driving the inquiry: How do teams of high school students allocate time across stages of design? Design thinking on the professional level typically occurs in a team environment. Many…

This article describes an exciting exploration-based activity in which students develop an alternative definition of factor that can help them solve problems like the one presented above. Students work in groups to collect data, analyze the data to make conjectures, and then spend a significant amount of time debating and justifying their…

Let us suppose that schools are, or might strive to become, places in which educators work collaboratively with parents and the wider community to recognize, nurture, and celebrate the strengths and talents in all people (cf., McCluskey, Treffinger, & Baker, 1995). Based on such a vision for education, this article describes a practical model…

The educational concept of "Zone of Proximal Development", introduced by Vygotskij, stems from the identification of a strong need for adaptation of the learning activities, both traditional classroom and modern e-learning ones, to the present state of learner's knowledge and abilities. Furthermore, Vygotskij's educational…

As educators, the authors believe in guiding students towards the life skills, knowledge, and expertise they need to succeed in life and in the workforce of the 21st century. With that in mind, they have created a project in which students drive their own learning through creativity and collaborative work to develop an efficient product. Through…

Linear functions are an important part of the middle school mathematics curriculum. Students in the middle grades gain fluency by working with linear functions in a variety of representations (NCTM 2001). Presented in this article is an activity that was used with five eighth-grade classes at three different schools. The activity contains 15 cards…

This paper aims at exploring the roles preschool teachers give technologies in mathematics education and the ways they structure their mathematics learning activities using interactive whiteboard (IWB) as a technological artefact. Data collected from observations of three preschool teachers embedding IWB in a preschool practice in Sweden provided…

Halfway through the 2015 AFC Championship game between the New England Patriots and Indianapolis Colts, game officials discovered that the Patriots were using underinflated footballs on their offensive snaps. A controversy ensued because the Patriots had actually supplied these balls to the game's referee just hours before kickoff. Athletes and…

Word problems about motion contain various conjugated verb forms. As students and teachers grapple with such word problems, they jointly operationalize diagrams, gestures, and language. Drawing on findings from a 3-year research project examining the social semiotics of classroom interaction, we show how teachers and students use gesture and…

University programs are currently faced with a number of challenges: how to engage students as active learners, how to ensure graduates are "work ready" with broad and relevant professional skills, and how to support students to see their potential as agents of social change and contributors to social good. This paper presents the…

This report describes the pilot conducted in the final phase of a project, Expanding Audio Access to Mathematics Expressions by Students With Visual Impairments via MathML, to provide easy-to-use tools for authoring and rendering secondary-school algebra-level math expressions in synthesized speech that is useful for students with blindness or low…

Achieving communicative competency in English classes has been a key goal in contexts where English is taught as a foreign language (EFL). During this process, however, integrating the difficulty and complexity of real life tasks into classroom teaching has often been disregarded. Lack of opportunities for authentic language use often results in…

In this integrated inquiry, students in an elementary teaching methods class investigate a real-world problem outside the classroom. The students use the Cognitive Research Trust (CoRT) thinking strategy to find the causes of, impact of, and possible solutions to the problem. They present their findings and then discuss implementation of this…

This paper is the result of first phase of the research about the development of students' mathematical understanding and representation ability through Joyful Problem-Based Learning (JPBL) at Public Junior High School in North Sumatra, Indonesia. The population is all of the students of public junior high school (PJHS) in North Sumatra. Samples…