In the primary grades, engaging in counting collections provides students with regular opportunities to make sense of numbers in dynamic ways, build social skills, and communicate about mathematics. This article aims to guide elementary educators through a team's process of planning and implementing counting collections in kindergarten. Counting…

Get a deeper understanding of teaching functions, 9-12 with our concise and comprehensive Go-To Guide. Based on "Developing Essential Understanding of Functions 9-12" and "Putting Essential Understanding of Functions into Practice 9-12," this summary distills the key concepts and ideas into a quick-reference guide that's…

Studies into early mathematics education have reported that play, and active exploration, provide promising settings for early mathematics education (Ginsburg, 2006) as the early years is a time to engage children in a range of mathematical ideas to develop their mathematical capability (MacDonald, 2018). More recently, the Australian Association…

In this paper, I discuss the potential transformations to teach K-12 geometry topics with the technology of 3D Pens, which enabled 3D models to be created instantly via one's moving hands. I draw on an example of using constructionist learning activities with 3D Pens to teach young children, 'how tall is the triangle?'

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…

This paper reports from a case study which explores kindergarten children's mathematical abstraction in a teaching--learning activity about reflection symmetry. From a dialectical perspective, abstraction is here conceived as a process, as a genuine part of human activity, where the learner establishes "a point of view from which the concrete…

Background/Context: Kindergarten mathematics instruction is critical for students' future academic success. The nature and quality of this instruction may vary depending on classroom characteristics. However, little empirical work has examined how mathematics instruction in kindergarten might differ based on classroom performance levels. Purpose,…

This paper reports on a case study which explores the co-creation of a zone of proximal development (ZPD) in a mathematics teaching-learning activity in a Norwegian kindergarten. To capture the complexity of teaching and learning mathematics in kindergarten the study uses qualitative methods within an interpretative paradigm. The findings…

Despite the well-documented phenomenon that Chinese parents tend to be actively involved in their young children's education, few studies have explored how Chinese parents manifest math involvement and how their practices operate in early math learning at home. This study investigated Chinese mothers' teaching behavior and its relation to child…

Build collective teacher efficacy and students' mathematical thinking using the Mathematics in a PLC at Work™ lesson-design process. This second edition of the popular "Mathematics Instruction and Tasks" book guides preK-12 teacher teams in ensuring improved mathematics achievement. Gain new and enhanced understanding of…

Incorporating immersive technologies in education has become increasingly popular due to their ability to facilitate active learning and engage students in the acquisition of concepts and skills. One form of immersive technology includes educational games that incorporate movement interaction, allowing children to engage with in-game elements by…

Measurement instruments of early childhood teachers' mathematical pedagogical content knowledge (MPCK) have to consider the special characteristics of early childhood teaching. Early childhood teaching includes some planned activities but in contrast to learning in school, it is often motivated and generated by situations which unfold…

This study examined the effects of a card-coded robotics curriculum and associated activities on kindergarteners' sequencing and problem-solving skills, which are forms of computational thinking. Kindergarteners participated in card-coded programming using a robot called TurtleBot. A card-coded robot curricular intervention was also designed to…

A growing body of research suggests that the effects of core mathematics instruction on student mathematics outcomes may not be uniform across different skill levels in mathematics. This study investigated the extent to which observed components of explicit mathematics instruction explained why students' initial mathematics achievement was…

In recent years, the learning and teaching of combinatorics presents particular educational research interest from the primary up to higher education levels. The combinatorial problems constitute a valuable opportunity for mathematical exploration, as combinatorics is a branch of mathematics with many applications, providing a complex network of…