Considering the importance of mathematics in modern society, it is crucial to understand the cognitive processes involved in the acquisition of complex mathematical competency. As a new generation of evaluation theory, cognitive diagnosis has its unique advantages in personalized evaluation. Based on the mathematical cognitive framework of Trends…

This study aims to help concrete thinkers learn science through the use of Piagets' cognitive processes (CPs) during scientific inquiry. A total of 203 fourth-grade students participated as volunteers in a pre-post control group study. The students were from urban, remote rural, and suburban regions of Indonesia. Data analysis demonstrated that…

The aim of the research is to examine the contribution of mobile application using in botanical fieldwork to the quality and durability of knowledge of the subject Nature and society compared to multimedia teaching in the fourth grade of primary school. The study involved 120 students, divided into two groups: control group, which taught on the…

A solid foundation in mathematics is beneficial not only for individuals' concurrent and later academic achievement, but also for future career success and financial stability. Rational number knowledge plays a pivotal role in mathematical success, yet it is often regarded as a challenging area to grasp comprehensively. The dissertation aims to…

In this study, we investigated the potential of a hypothesized geometrical measurement learning progression (LP) to examine students' thinking and understanding in this domain.We interviewed 30 third to fifth graders using 3 LP-based cognitive tasks that asked the students to find the length, perimeter, area, surface area, and volume measurement…

The cognitive domain in mathematics, defined as thinking and understanding in the process of learning mathematics, is a main focus of curricula in many countries. This study explores breadth and depth of understanding as addressed in mathematics textbooks certified as aligned to Israeli national mathematics curricula. We compare opportunities for…

The epistemic trust literature emphasizes that children's evaluations of informants' trustworthiness affects learning, but there is no evidence that epistemic trust affects learning in academic domains. The current study investigated how reliability affects decimal learning. Fourth and fifth graders (N = 122; M[subscript age] = 10.1 years)…

In 2010, the William and Flora Hewlett Foundation's Education Program has established the Deeper Learning Initiative, which focuses on students' development of deeper learning skills (i.e., the mastery of core academic content, critical-thinking, problem-solving, collaboration, communication, and "learn-how-to-learn" skills). Two test…

The purposes of this study were to investigate the effects of an intervention designed to improve at-risk 4th graders' understanding of fractions and to examine the processes by which effects occurred. The intervention focused more on the measurement interpretation of fractions; the control condition focused more on the part-whole interpretation…

To determine the effects of the amount and type of information supplied by a concept definition, fourth and eighth graders were presented with one of two definitions: a "technical" definition which precisely specified all defining attributes of the concept, and a "common usage" definition from a children's dictionary which did not specify all…

Two experiments explored the relationship between conceptual and procedural knowledge. Results revealed that fourth and sixth graders made computational errors even though they possessed conceptual knowledge. Fifth graders mastered conceptual knowledge before procedural knowledge. Results support the dynamic interaction theory. (BC)

According to Hypothesis (H) theory, learning should be very difficult when the number of Hs the subject samples from is very large and/or the correct H is not available. These assumptions were tested with third- and fourth-grade children. In general, results supported these assumptions. (Author/MP)

The role of reinforcement has long been an issue in learning theory. The effects of reinforcement in learning were investigated under circumstances which made the information necessary for correct performance equally available to reinforced and nonreinforced subjects. Fourth graders (N=36) were given a pre-test of 20 items from the Peabody Picture…

In a test the presence or absence of a "structure" in the individual's cognitive processes of formal operations thinking, 61 fourth, fifth, and sixth grade students were administered three tasks supposedly requiring such a method of thinking. The three tasks were (1) a problem solving task (PS), (2) a chemistry task requiring a certain combination…

Discusses a unit to teach reasoning and problem solving skills by helping students develop a systematic approach to problem identification, gather and analyze data, arrive at inferences and keep from jumping to conclusions. Describes the development of an activity investigating liquids designed to foster the needed problem-solving skills. (JM)