In linear programming, many students find it difficult to translate a verbal description of a problem into a valid mathematical model. To better understand this, we examine the existing characteristics of college engineering students' errors across linear programming (LP) problems. We examined textbooks to identify the types of problems typically…

This study aims to analyze in-depth and comprehensively the learning barriers of students in an Islamic Boarding School in terms of different dimensions of the curriculum implementation, such as the religion, national education, and technology-based practices. In the study, qualitative method with case study approach was adopted. The participants…

English Foreign Language (EFL) teachers need to be especially aware of their own articulatory errors and to manage strategies to overcome them. A specific corrective strategy using phonetic notation to destabilise the most recurrent articulatory errors to be applied to Spanish pre-service English Primary School teachers is presented. Firstly, the…

Background: Mapping fraction symbols to magnitudes is easier for students to master than comparing fraction magnitudes. Fraction mapping assesses students' understanding of part-whole interpretations of fractions; fractions represent the parts of an object or set of objects. Fraction comparison assesses students' understanding of measurement…

This competency-based data processing curriculum guide consists of a total of 65 curriculum worksheets dealing with data entry, computer operations, and computer programing. Provided in each worksheet are the following materials: a duty title, a task description, a pretest, references and resources, student learning activities, teacher activities,…

This paper makes a proposal, from the perspective of a research mathematician interested in mathematics education, for broadening and deepening whole number arithmetic instruction, to make it more relevant for the twenty-first century, in particular, to enable students to deal with large numbers, arguably an essential skill for modern citizenship.…

Despite the efforts to confirm the effectiveness of writing in learning mathematics, analysis on common errors in mathematical writings has not received sufficient attention. This study aimed to provide an account of the students' procedural explanations in terms of their commonly committed errors in mathematical writing. Nine errors in…

Misconceptions high school students have about constructs in the BASIC programming language were examined in this study. A total of 96 high school students received a screening test after a semester course in BASIC programming, and 56 of these students were subsequently interviewed by means of questions and short programs prepared in advance. The…

Analysis of mathematical notations must consider both syntactical aspects of symbols and the underpinning mathematical concept(s) conveyed. We argue that the construct of "syntax template" provides a theoretical framework to analyse undergraduate mathematics students' written solutions, where we have identified several types of…

Students sometimes struggle with visualizing the three-dimensional solids encountered in certain integral problems in a calculus class. We present a project in which students create solids of revolution with clay on a pottery wheel and estimate the volumes of these objects using Riemann sums. In addition to giving students an opportunity for…

Conceptual modeling is one of the most important learning topics for higher education and secondary education. The goal of conceptual modeling in this research is to draw a class diagram using given notation to satisfy the given requirements. In this case, the subjects are asked to choose concepts to satisfy the given requirements and to correctly…

Understanding the decimal system is challenging, requiring coordination of place-value concepts with features of whole-number and fraction knowledge (Moloney and Stacey 1997). Moreover, the learner must discern if and how previously learned concepts and procedures apply. The process is complex, and misconceptions will naturally arise. In a…

Research has yet to make measurable progress toward understanding how to help students with math learning disabilities (MLDs) overcome their persistent difficulties. Prior research has traditionally framed MLDs as cognitive deficits and studied these deficits by analyzing failing students' errors. In this paper, we provide an alternative. We…

Formal algebras are among the most powerful and general mechanisms for expressing quantitative relational statements; yet, even university engineering students, who are relatively proficient with algebraic manipulation, struggle with and often fail to correctly deploy basic aspects of algebraic notation (Clement, 1982). In the cognitive tradition,…

In my dissertation, I examine four notation systems used to represent hand configurations in child acquisition of signed languages. Linguists have long recognized the descriptive limitations of Stokoe notation, currently the most commonly used system for phonetic or phonological transcription, but continue using it because of its widespread…