This memo, which is the seventh in the series, features an interview with the Director of Curriculum and Instruction at the Two Rivers Public Charter School in Washington, DC. Originally planned as a piece analyzing the long-term work of the school, this memo was redesigned to feature an interview highlighting how the school rapidly responded to…

Grounded and embodied cognition (GEC) serves as a framework to investigate mathematical reasoning for proof (reasoning that is logical, operative, and general), insight (gist), and intuition (snap judgment). Geometry is the branch of mathematics concerned with generalizable properties of shape and space. Mathematics experts (N = 46) and nonexperts…

Despite the considerable political and academic interest in concepts such as the triple helix of government, business and higher education as well as entrepreneurship and entrepreneurial universities, relatively little has been written about the role of the university in developing entrepreneurship. More specifically, the questions of how the…

In this commentary we take a critical look at the various studies being reported in this issue about the relationship between cognitive neuroscience and mathematics, from a mathematics education viewpoint. After a discussion of the individual contributions, which we have grouped into three categories--namely neuroscientific studies of (a)…

Just as fluency isn't knowing every word in a language, source literacy isn't knowing every source. It is, instead, the ability to interpret from context, to know what to ask, to read the clues, and to use the understanding brought from knowing about other sources. A person fluent in source literacy is able to do this automatically, the way you…

The aim of this paper is to present "the three steps method" of the self-formation of collaborative groups in a problem-based learning environment. The self-formation of collaborative groups is based on sharing of accountability among students for solving instructional problems. The steps of the method are planning collaborative problem…

The "interpretive turn" has gained traction as a research approach in recent decades in the empirical social sciences. While the contributions of interpretive research and interpretive research methods are clear, we wonder: Does an interpretive perspective lend itself to--or even demand--a particular style of teaching? This question was…

Originally called Cognitive Acceleration through Science Education, Thinking Science is a program of 30 lessons, usually delivered in Years 7 and 8, that has been shown to improve learner outcomes in science, maths and English. Over recent years, it has grown in popularity in Australia and was the subject of an ARC-funded research project at the…

An intervention experiment served to evaluate the efficacy of highly guided discovery learning of relations underlying add-1 and doubles combination families and to compare the impact of such instruction with minimally guided instruction. After a pretest, 78 first graders were randomly assigned to one of three intervention conditions: highly…

The article focuses on the problem of developing students' critical thinking skills, which help them become independent learners. Analysis of research works of educators and scholars enable the authors to reveal qualities, necessary for students to enhance their critical thinking skills and become independent learners. Different points of view on…

The relative age effect (RAE) has been demonstrated in many youth and professional sports. In this study, we hypothesized that there would also be a RAE among youth chess players who are typically involved in a complex cognitive task without significant physical requirements. While typical RAEs have been observed in adult chess players, in this…

Epistemic cognition is the thinking that people do about what and how they know. Education has long been concerned with promoting reflection on knowledge and processes of knowing, but research into epistemic cognition began really in the past half century, with a tremendous expansion in the past 20 years. This review summarizes the broad range of…

In the process of learning mathematics, students practice various forms of thinking activities aimed to substantially contribute to the development of their different cognitive structures. In this paper, the subject matter is a "cognitive obstacle", a phenomenon that occurs in the procedures of solving mathematical tasks. Each task in…

Developing students' 21st century skills, including creativity, critical thinking, and problem solving, has been a prevailing concern in our globalized and hyper-connected society. One of the key components for students to accomplish this is to take part in today's participatory culture, which involves becoming creators of knowledge rather than…

Approaching Christian education in light of Charles Sanders Peirce's Classical Pragmatism can help catechists make Christian tradition more intelligible to present-day North Americans; it can provide them with a rich framework for pedagogical practices; and it can help them offer a compelling vision of deeper participation in the Trinitarian life…