The focus in this article is on the usefulness of spatial sequencing as a tactic for interpreting a map and organizing our memory of it. This skill is useful whenever some condition varies in a systematic way with distance. When students are asked whether they see a pattern on a map of a topic like wildfires or terrorist activity, some students…

This study explores how pre-service mathematics teachers' spatial visualisation skills evolved during a Cognitive Load Theory (CLT) based education. The study used the qualitative theory-testing case study method, which guided the identification of participants, the design of technology-supported education, and the data collection and analysis…

An "analogy" is a statement of relationship. A "spatial analogy" is an analogy based on a spatial relationship that is observed in a location. Spatial analogies can be based on any spatial relationship, including distance, direction, elevation, proximity, enclosure, or position in a pattern, region, or sequence - in short,…

Researchers agree that both domain-general skills and domain-specific skills contribute to mathematics knowledge, but questions arise as to which skills can and should be trained to improve children's learning outcomes. In this article, we synthesize research on training three domain-general constructs in early childhood (patterning skills,…

This article describes a novel method for quantifying fixation disparity and evaluates its role in visuospatial cognition during an authentic learning task, specifically, the determination of molecule chirality in organic chemistry involving mental rotation and pattern comparison. The first study examined the influence of molecular model…

Generalizing, conjecturing, representing, justifying, and refuting are integral parts of algebraic thinking and mathematical thinking in general (Lannin et al., 2011). The activity described in this article makes a case for generalizing as an overall mindset for any introductory algebra or geometry class by illustrating how generalization problems…

Preschoolers' repeating patterning knowledge is predictive of their concurrent and later math and numeracy knowledge, but strong experimental evidence is needed to determine if these relations are causal. The purpose of the current study was to examine the causal effects of repeating patterning and numeracy tutoring on repeating patterning,…

Preschoolers' repeating patterning knowledge is predictive of their concurrent and later math and numeracy knowledge, but strong experimental evidence is needed to determine if these relations are causal. The purpose of the current Study was to examine the causal effects of repeating patterning and numeracy tutoring on repeating patterning,…

The present study longitudinally investigated proportional reasoning abilities in early elementary school before the start of its instruction. Three aims were put forward: (a) distinguishing the different developmental states in young children's understanding of missing-value proportional situations, (b) investigating how children transition…

This study investigated the unique contribution of orthographic awareness, letter knowledge, and patterning skills to early literacy and arithmetic competence. A total of 145 third-year kindergarten (K3) children (M[subscript age]: 73.43 months, SD = 5.36; 70 boys, 48%) from Hong Kong participated in this study. Children were assessed on their…

Mathematical giftedness (MG) is an intriguing phenomenon, the nature of which has yet to be sufficiently explored. This study goes a step further in understanding how MG is related to expertise in mathematics (EM) and general giftedness (G). Cognitive testing was conducted among 197 high school students with different levels of G and of EM. Based…