The aim of this paper is to present a teaching proposal for the theoretical part relating to the first- and second-order linear difference equations with constant coefficients suitable for the first-year students at various types of universities. In contradistinction to the methods often applied (memorization of algorithms without a proper…

Analogies can be powerful teaching tools because they can make new material intelligible to students by comparing it to material that is already familiar. In assisting students to understand chemistry concepts, teachers occasionally use analogies. These analogies are believed to help the students to structure the new knowledge and they are…

This study investigates sixth-grade Turkish students' pattern-generalization approaches among arithmetical generalization, algebraic generalization, and naïve induction. A qualitative case study design was employed. The data was collected from four sixth-grade students through the Pattern Questionnaire (PQ) and individual interviews based on the…

This study aims to examine the conceptual understanding of middle-school 8th graders on measurement based on big ideas. To this aim, a case study was carried out with six students from a state middle school. The data were collected through semi-structured interviews with the instrument developed by the researchers and consisting of seven…

One of the complex units of chemistry education is acid-base equilibria, and learners have difficulty constructing cognitive structures on the subject. The aim of this study is to examine the conceptions of pre-service chemistry teachers with regard to weak acid-base equilibria using a diagnostic test. A qualitative research method was employed as…

The study attempted to answer two basic questions of classroom teaching: a. what were the most common teaching practices at the elementary school level? And b. did teachers foster curiosity in children during teaching? Classroom proceedings enfolded various teaching activities that might lead to a knowledge gap in students. 137 primary and middle…

Genetics can be a difficult topic to teach and learn in a traditional classroom. The objective of this qualitative classroom action research was to examine the effectiveness of a blend of problem-based learning (PBL) with scientific argumentation to improve student understanding of basic genetics. The research participants were grade 9 Bhutanese…

The present study was motivated by theoretical considerations in cognitive linguistics associated with the concept projection as well as by theories in cognitive science related to self-directed learning on computers, to apply them in developing Japanese learners' knowledge of the different degrees of sureness attached to CERTAIN, PROBABLE, and…

Studies related to school mathematics have shown that students who scored well on standardized tests often are unable to successfully use memorized facts and formulae in real-life application outside the classroom. The outcome of TIMSS and PISA studies further emphasizes the importance of mathematics teaching and learning in the Malaysian…

Students rely on rote knowledge to learn accounting concepts. However, this approach does not allow them to understanding the meta language of accounting. Meta language is simply the concepts and terms that are used in a profession and are easily understood by its users. Terms such as equity, assets, and balance sheet are part of the accounting…

This study reports on an analysis of students' textbook task-solving in Swedish upper secondary school. The relation between types of mathematical reasoning required, used, and the rate of correct task solutions were studied. Rote learning and superficial reasoning were common, and 80% of all attempted tasks were correctly solved using such…

Grolnick and Ryan (1987) assume that an autonomy supportive environment leads to higher learner engagement and thus to greater achievements and deeper understanding of content. In school, knowledge acquisition (rote learning as well as conceptual learning) are regarded as most important. In this study, we examined the effects of teachers' autonomy…

The study of linear relationships is foundational for mathematics teaching and learning. However, students' abilities to connect different representations of linear relationships have proven to be challenging. In response, a computer-based instructional sequence was designed to support students' understanding of the connections among…

This study tested for deep understanding and critical thinking about basic quantum chemical concepts taught at 12th grade (age 17-18). Our aim was to achieve conceptual change in students. A quantitative study was conducted first (n = 125), and following this 23 selected students took part in semi-structured interviews either individually or in…

Psychological research indicates that rote learning involves a good deal of what is commonly called conceptualizing, and conceptual learning demands a large amount of what is often considered rote repetition. (HMD)