In this article the authors describe an instructional unit designed and taught in two classes of kindergarten children. The goals of the unit were to present a "driving question" to motivate the process of statistical investigation, to genuinely engage children in the stages of statistical investigation, and to facilitate them in…

Paper folding, or origami in Japanese, is a traditional craft that has been enjoyed by both children and adults for hundreds of years. Mathematicians have long studied the mathematics of paper folding. They use square papers to construct mathematical shapes (for example, folding an equilateral triangle from a square paper or trisecting an angle),…

The analogical reasoning isn't used only in mathematics but also in everyday life. In this article we approach the analogical reasoning in Geometry Education. The novelty of this article is a classification of geometrical analogies by reasoning type and their exemplification. Our classification includes: analogies for understanding and setting a…

Students with mathematics difficulties and learning disabilities (LD) typically struggle with solving word problems. These students often lack knowledge about efficient, cognitive strategies to utilize when solving word problems. Cognitive strategy instruction has been shown to be effective in teaching struggling students how to solve word…

An institutional innovation process led by Extension created a statewide microfinance intermediary. The intermediary provides business technical assistance and microloans to entrepreneurs having difficulty securing conventional credit but having workable business plans. The process included (1) gathering indicators of a problem; (2) formation of a…

Instruction can be made relevant to students when it draws upon and utilizes their interests, experiences, and "funds of knowledge" in productive ways to support classroom learning. This approach has been referred to as "context personalization." In this paper, we discuss the cognitive basis of personalization interventions,…

The educational landscape around standards, assessment, professional development, and funding is changing at a rapid pace. This article asks how can education institutions--and educators--respond with a balance of urgency and coherence? How can education institutions temper the need for risk-taking and innovation with the responsibility to deliver…

This article describes how a teacher in Mexico City worked with two researchers on an instructional design project to help kindergartners become proficient in participating in whole-class mathematical conversations.

As a group of middle school mathematics teachers and teacher educators, the authors have focused their attention on using innovative practices coupled with high cognitive demand tasks to engage students, pique their interest in mathematics, and promote conceptual understanding. This article explores their three-act task design. In act 1, students…

Recently, the Modern Language Association (MLA) has called for proposals on the "greening" of the Spanish curriculum for their 2020 convention. University students are and will be faced with complex twenty-first-century economic problems, such as food deserts, costs of industrial agriculture, organic regulations and market demand,…

Historically, deep learning opportunities have occurred in schools attended by this country's most advantaged students, and there have been few successful efforts to systemically create the structures and policies necessary to ensure every student has access to this type of learning. The New Tech Network, a network of more than 200 elementary,…

This article offers a description of how empirical experiences through the use of procedural knowledge can serve as the stage for the development of hypothetical concepts using the learning cycle, an inquiry teaching and learning method with a long history in science education. The learning cycle brings a unique epistemology by way of using…

In the authors' attempts to incorporate problem solving into their mathematics courses, they have found that student ambition and creativity are often hampered by feelings of risk, as many students are conditioned to value a produced solution over the actual process of building one. Eliminating risk is neither possible nor desired. The challenge,…

Information and communication technology (ICT) is an integral aspect of the current Australian Curriculum: Mathematics. The language, strategies and resources required in mathematics education today can be very different to the mathematics lessons experienced by current teachers when they themselves were at school (Sousa, 2015). Learning…

We present a first-hand, longer-term account of one student's (Christine's) experiences in and after a mathematics inquiry course. In this course, students actively posed problems, conducted their own mathematical explorations, and wrote journal entries about their experiences. During the course, Christine found that inquiry helped her develop…