This study used the RBC+C model to reveal the abstractions of the 6th-grade students in the process of transition to the parallelogram area formula. Also, constructing parallelogram area information was employed as a teaching experiment based on the basic interpretive approach, one of the qualitative research methods. The study participants…

In this article, simple models of optical computing circuits (1 x 4 demultiplexer (DEMUX), 4 x 1 multiplexer (MUX), Boolean logic, and half-adder (HA)) are shown with mechanically controlled plane mirrors. Photographs of the proposed computational circuits are also shown. It is very useful for the school student to understand optical logic and…

As part of its Partnership for Pre-K Improvement (PPI) initiative, the Bill & Melinda Gates Foundation sponsored the RAND Corporation to study the cost of high-quality pre-K programming. The RAND study included three states--Oregon, Tennessee, and Washington--that were partnering with the foundation under PPI. The objective of the study was to…

Studies maintain that computational thinking (CT) is associated with science content and scientific processes as well as with many disciplines. It is thought that designing teaching processes in which science and CT processes take place together makes science learning more meaningful. With this in mind, in this study, the researchers integrated…

Computation is a central aspect of 21st century physics practice; it is used to model complicated systems, to simulate impossible experiments, and to analyze mountains of data. Physics departments and their faculty are increasingly recognizing the importance of teaching computation to their students. We recently completed a national survey of…

In many elementary classrooms nationwide, less and less time is spent on social studies. Lack of attention to social studies is evident in states like New York where teacher evaluations are contingent on students' performance on two subjects: English Language Arts (ELA) and mathematics. In this article, the authors describe their experience…

Two experiments examined whether concrete models support place value learning. In Experiment 1 (N = 149), 7-year-olds were trained with either a) symbols alone or b) symbols and base-10 blocks. Children in both groups showed significant growth overall, but there were specific effects favoring one training type over another. Symbols-only training…

It is now required for teachers to incorporate computational thinking (CT) into their science classes. Our research modifies the existing structure of a science methods course for preservice teachers to include CT via modeling and simulations. In the first study, preservice teachers were introduced to the basics of coding through an Hour of Code…

Recursion is one of the most difficult programming topics for students. In this paper, an instructional method is proposed to enhance students' understanding of recursion tracing. The proposal is based on the use of rules to translate linear recursion algorithms into equivalent, iterative ones. The paper has two main contributions: the…

The overall aim of this paper is to provide an epistemological rational for the measurement of intentionality. The purpose of this narrative is to identify "Intentionality" as an arena of action in the dispositional learning domain can be measured using an "Intentionality Measurement Instrument" [also referred by the acronym…

The following report describes an assessment instrument called the Mathematics Performance and Cognition (MPAC) interview. The MPAC interview was designed to measure two outcomes of interest. It was designed to measure first and second graders' mathematics achievement in number, operations, and equality, and it was also designed to gather…

This report provides an overview of the development, implementation, and psychometric properties of a student mathematics interview designed to assess first- and second-grade student achievement and thinking processes. The student interview was conducted with 622 first- or second-grade students in 22 schools located in two public school districts…