This extensively updated teaching resource provides over 100 engaging, full-color visuals with explanations of how they can be used to stimulate mathematics learning, to explain mathematical concepts, and to assess students' mathematical understanding in grades K-8. Readers are provided with a strong mathematical background, downloadable copies of…

Cultural creative design activity and education involve the application of cultural inspiration. This study examines the impact of cultural inspiration distance and timing on designer' creativity in Targeted Cultural Creative Design Pattern (TCCDP). Four design novice groups attended the cultural product design experiment with a combination of…

Science and engineering practices (SEPs) and crosscutting concepts (CCs) constitute a significant part of "A Framework for K-12 Science Education" (NRC 2012). As teachers, the role of the authors is to highlight the pivotal role that both scientific knowledge and the practices used to generate knowledge play in learning. This article…

Background: The complexity and diversity of problems and concepts in different engineering subjects represent a great challenge for students. Traditional approaches to teaching statics are ineffective in helping some students overcome the learning barriers that underlie learning statics and developing problem-solving skills. Purpose: This article…

Beginning a mathematics lesson involving a challenging task with a carefully chosen preliminary experience is an effective means of activating student cognition. In this article, the authors highlight a variety of preliminary experiences, each with a different structure and form, all designed to support students to more successfully engage with…

Mathematical concepts have been a consensus goal for decades, yet there is little consensus on what is meant by the terms "mathematical concept" and "mathematical understanding." This article attempts to discuss these terms in a way that can be of practical use to teachers. Greater clarity on "mathematical concept"…

Math educators must engage students in deep learning and talk spanning shorter, medium, and longer time frames to offer both the structures and language so that secondary English learners can participate fully alongside their classmates. In this article, the authors present: (1) "structure and language" to facilitate full participation…

We discuss an implementation of the research-based Pathways precalculus curriculum in a large-lecture format supported by recitations, clickers, and online homework. We describe our approach to adapting the implementation of Pathways precalculus from a small class to a large lecture instructional format. We report data on student learning and…

Cinquain is a poetic form, or stanza, of five lines that do not rhyme, which follows some strict rules. Cinquain is also considered to be a training means, a method, a technique, an instrument used for reflection, for synthesis of all knowledge on a particular topic (a being, an object, an ensemble of objects), towards developing one's creativity.…

Object-oriented programming (OOP) is not only an integral part of computing degrees but also a requirement in non-computing majors such as engineering. Understanding OOP concepts can be difficult for novice programmers, and often leads to the development of misconceptions. This is exacerbated when the discipline requires students to learn a…

The purpose of this study is to implement an a-didactical activity relating to the acquisition of the triangle inequality, prepared within the framework of the "Didactic Situations Theory" (TDS), and to report the experiences of the students during the implementation process. The study employs a case study method based on a qualitative…

This article focuses on an approach to the concept of historical time in early childhood education through the lens of cognitive psychology. It consists of three parts: (1) theoretical approaches, inspired by three broad scientific fields -- cognitive psychology, pedagogy and history; (2) the presentation of educational examples, formed by…

In this paper, the SOLO taxonomy is used to identify different levels of student understanding of the statistical concepts associated with sampling distribution. This study was part of a research project investigating students' conceptual understanding of concepts of hypothesis testing taught with the support of simulation learning activities. The…

Although the "Next Generation Science Standards" (NGSS) have three dimensions, the crosscutting concepts are often the forgotten dimension. One reason teachers may not emphasize the crosscutting concepts might be because they are broad, domain-general constructs that can be difficult to conceptualize in a meaningful way. Yet, when taught…

This study investigated students' meaning-making of polymeric concepts during modelling and discuss students' creation of visible representations in chemistry. The analysis combines a phenomenographic and social semiotic approach and leads to the finding and description of 21 different meaning-making processes. We refer to meaning-making as the…