This research study begins to explore how a take-home bag intervention (Project MathPack) focused on early childhood mathematics can potentially increase family mathematics play interactions. The primary aim of Project MathPack was to build more effective mathematics environments in home settings and to provide embedded professional development…

The current study broadens our understanding of preschoolers' early math experiences with parents, recognizing that math knowledge and experiences are inclusive of numeracy as well as non-numeracy domains. Parents and preschoolers (N = 45) were observed exploring three domains of early mathematics knowledge (i.e., number, space, and pattern)…

"Pre-K Mathematics" is a supplemental mathematics program focusing on a range of mathematical concepts to help develop children's informal mathematical knowledge. The "Pre-K Mathematics" program includes teacher-led, small-group mathematics activities that are engaging and hands-on, as well as caregiver-child activities that…

Rich mathematical modeling activities are crucial to giving students agency and making mathematics meaningful. Proportional reasoning and transitional algebraic reasoning are the primary topics in the prealgebra curriculum, so a need exists for meaningful modeling activities using proportional reasoning in addition to geometric modeling. In…

Children's literature can provide useful contexts for teaching mathematics. In this article, the authors discuss the use of the children's book "Measuring Penny" (Leedy 1997) to support Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) related to length measurement. The authors first describe three types of misconceptions…

Number system knowledge (NSK) is broadly defined as the understanding of number relationships and is an essential mathematics skill for young elementary school-aged students. NSK instruction that emphasizes connections between number sense and spatial reasoning could be a critical anchor for second-grade students to stay rooted in their conceptual…

The task shared in this article provides geometry students with opportunities to recall and use basic geometry vocabulary, extend their knowledge of area relationships, and create area formulas. It is characterized by reasoning and sense making (NCTM 2009) and the "Construct viable arguments and critique the reasoning of others"…

Mathematics can be viewed as complex structures comprising intricate and profoundly useful webs of relationships. Students can experience mathematics in this way when working on mathematical tasks such as problem-solving, modelling, investigations or problem posing. Yet these kinds of tasks are seldom implemented in many upper-secondary and…

This workbook is a companion to the "Community Math Night Facilitators' Toolkit. REL 2022-120" (ED615952), a comprehensive resource for elementary school educators to plan and implement a Community Math Night. A Community Math Night brings together educators, students, and their families to: (1) learn about, talk about, and have fun with…

As outlined in the paper "The 20 Matchstick Triangle Challenge: An Activity to Foster Reasoning and Problem Solving" by Pat Graham and Helen Chick [EJ1093090], an incredibly useful set of information about the mathematical ability of your students will be revealed. You can look at the way your students try to solve the 20 matchsticks…

This study investigates kindergarten children's mathematics learning with a focus on the role of teachers' mathematics education and readiness beliefs, and home learning environment. Using structural equation modeling to estimate the individual differences in early mathematics learning, data from 5,845 kindergarteners was evaluated. Findings show…

Scaling up educational interventions in the STEM (Science, Technology, Engineering, and Mathematics) field is critical but under-researched. We review and draw implications from a series of studies investigating the long-range impact of an implementation of an early mathematics scale-up model based on learning trajectories. Lasting effectiveness…

The first author's initial attempts at a whole-class mathematics discussion were woefully dysfunctional. Ten second graders showing their answers to a missing addend question about the number of children left riding a school bus did not result in the mathematical epiphany that the textbook promised. She did not give up on using mathematical…

Children in a first-grade class who were taking their first steps in formal mathematical knowledge were given a sequence of five modelling tasks during their regular mathematics lessons. These tasks were different in nature from the problems they encountered in their textbooks. They are more complex and challenging, requiring analysis of the…

In Australia, early childhood education takes a play-based approach to supporting children's engagement with mathematical ideas and numeracy development. To assist preschool teachers' implementation of the outcomes in the national Early Years Learning Framework for Australia, the Northern Territory (NT, Australia) has introduced the NT Preschool…