Students often show difficulties in understanding rational numbers. Often, these are related to the natural number bias, that is, the tendency to apply the properties of natural numbers to rational number tasks. Although this phenomenon has received a lot of research interest over the last two decades, research on the existence of qualitatively…

This study compares the effects of object-oriented and robot programming activities on programming achievement, abstraction, problem solving, and motivation. In the study, two consecutive experimental cases were conducted to examine the consistency of findings. The research sample comprises 81 tenth-grade students undergoing vocational secondary…

As a multifaceted concept, the learning of angle concepts takes years to achieve and is beset with challenges. This paper explores how the processes of constructing and validating a learning progression in geometric reasoning can be used to generate targeted teaching advice to support the learning of angle concept. Data from 1090 Year 4 to Year 10…

Using the Structure of Observed Learning Outcomes (SOLO) taxonomy as the analytic framework, this study examined the impact of the reasoning flow scaffold (RFS) on students' written arguments. Two classes with a total of 88 10th grade students in a school participated in this study. One class, set as the experimental group, was taught scientific…

This work investigates the formation of particular student profiles based on of their ideas relating to basic characteristics of the atom. Participants were secondary students of 8th, 10th and 12th grades from Northern Greece (n = 421), with specific cohort characteristics e.g. age, grade and class curriculum, and individual differences, e.g.…

This study demonstrates the utility of applying a causal indicator modeling framework to investigate important predictors of reading comprehension in third, seventh, and tenth grade students. The results indicated that a 4-factor multiple indicator multiple indicator cause (MIMIC) model of reading comprehension provided adequate fit at each grade…

Abstraction is one of the methods for learning knowledge with using mental processes that cannot be obtained through experiment and observation. RBC model that is based on abstraction in the process of creating knowledge is directly related to mental processes. In this study, the RBC model is used for the high school students' processes of…

Building on the multidimensional framework of epistemic cognition proposed by Greene et al. ("Educational Psychologist" 43:142--160, 2008), this study examined beliefs about justification of knowledge claims in science among 65 Norwegian 10th graders. The first research question asked whether beliefs in personal justification,…

Recently there has been a keen interest in the area of mathematics and finding the best methods of instruction. For instance, the No Child Left Behind Act (NCLB) has placed new levels of accountability on educators for the success of students with their education, especially in mathematics. Certain areas of mathematics, such as Algebra, have been…

One possible approach students can cope with abstract algebra concepts is reducing abstraction. This notion occurs when learners are unable to adopt mental strategies as they deal with abstraction level of a given task. To make these concepts mentally accessible for themselves, learners unconsciously reduce the level of the abstraction of the…

A study was conducted to examine whether improved and more intensive teaching of conceptualization and abstract reasoning skills could be a factor in the improvement of reading comprehension. Subjects were 48 high school sophomores reading at or below grade level, evenly divided in experimental and control groups, from four intact classes. A…

The authors describe one high school teacher's attempt to change her mathematics teaching in ways that are consistent with the National Council of Teachers of Mathematics'"Standards" documents. One of the coauthors is the teacher who teaches in a professional development school; the other, a researcher, conducted regular observations in…

This study reports the characteristics of the 4,751 high school students (out of 374,527) who achieved perfect scores in 1 or more subtests of the 1991 PLAN academic performance test, an academic assessment of 10th graders. Comparisons by gender, ethnicity, and subtest (English, Mathematics, Reading, and Science Reasoning) and a profile of…