Mathematical modeling involves using mathematics to represent, analyze, and make predictions or decisions about real- world situations. Garfunkel and Montgomery (2016) elaborate on six components of the mathematical modeling process, including identifying the problem, making assumptions and identifying variables, doing the math, analyzing and…

Insights on students' own authentic design practices--nascent design practices without much adult guidance--are crucial to informing responsive facilitation of engineering design tasks. This study unpacks how elementary students interpret teacher given information about a design task, and interact with each other and given resources, to traverse a…

Perturbations to the speech articulators induced by frequently using an interfering object during infancy (i.e., pacifier) might shape children's language experience and the building of conceptual representations. Seventy-one typically developing third graders performed a semantic categorization task with abstract, concrete and emotional words.…

Orthographic learning is one of the steps needed to achieve reading fluency. There are different variables that could influence the formation of orthographic representations. The aim of this study was to investigate the role of the previous semantic and phonological knowledge on the formation of orthographic representations. We used a decrease of…

Looking at the effects of globalization from numerous perspectives: economic, spatial, cultural, and environmental, it has become abundantly clear that today's students must possess geographic knowledge and associated skills to be prepared for civic life and informed decision-making. However, the current state of geographic proficiency among U.S.…

Central elements of adaptive expertise in arithmetic problem solving are flexibility, using multiple strategies, and adaptivity, selecting the optimal strategy. Research shows that the strategies children actually use do not fully reflect the strategies they know: there is hidden potential. In the current study a sample of 147 third graders from…

This study is part of a larger project exploring students' thinking of Dynamic Measurement (DYME), an approach to area measurement that engages students in dynamic digital experiences of measuring rectangular surfaces through sweeping lengths. The goal of this study was to evaluate the extent to which students could bridge the mathematical…

Students used a compass trail to show how they could perform service to their school. When students performed service learning, they completed a real task that was needed for a grateful audience conjoined with academic content in the lesson. Students worked on the school grounds and used content from their regular curriculum while looking for…

Educators have long been advocating for the appropriation of students' interests into the classroom as a means of promoting participation and learning. However, little attention has been paid to the possible issues that interest-driven pedagogy might engender for both teachers and students through its blend of the personal and academic. This…

When two third-graders collaboratively manipulated a multi-modal, digital learning device called TouchTimes (hereafter, TT), that introduces multiplication through visual, tangible and symbolic means, their thinking about quantity shifted from being additive to being multiplicative. In this study, I examine the children's interactions around/with…

Background: In the last decades, children's understanding of mathematical principles has become an important research topic. Different from the commutativity and inversion principles, only few studies have focused on children's understanding of the addition/subtraction complement principle (if a - b = c, then c + b = a), mainly relying on verbal…

Background: Base-ten thinking (BTT) -- children's ability to reason in tens and ones is a crucial measure of Foundation Phase learners' mathematical performance in South Africa. Aim: The study looks at the six learners using BTT to solve additive tasks through two different assessments. Setting: Six purposely selected Grade 3 learners in…

The purpose of this study was to explore how third grade students experience challenging tasks. The study utilized a phenomenological approach to allow the researcher to understand lived experiences of the participants. Grade three was chosen because it is a pivotal year in education in which students move from learning skills to using skills for…

The More A-More B intuitive rule has become a research hotspot in the field of mathematical education in recent years. The intuitive rule of More A-More B is often reflected in students' responses to comparison tasks. In such tasks, students are asked to compare 2 objects that differ in a certain salient quantity A (where A[subscript 1] >…

Due to their abstract nature, representation of mathematical concepts through different registers favors their understanding. In the case of ''sequences and regularities'', it becomes propitious the exploration of different registers of representation in the institution of topics, such as term, order, formation law, and generating expression.…