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Chen, Jing-Hua; Chen, Yi-Chou – Journal of Education and Learning, 2018

Objectives: To explore differentiated instruction within a calculus curriculum. For college students to learn concentration, motivation and the impact of academic achievement; explore the attitudes and ideas of students on differentiated instruction within a calculus curriculum; build up the diversity of mathematics education within varied…

Descriptors: Foreign Countries, Individualized Instruction, Mathematics Instruction, College Mathematics

Alvarez, Gustavo; Schulte, Jurgen; Stockton, Geoffrey; Wheeler, David – Physics Education, 2018

The real power of calculus is revealed when it is applied to actual physical problems. In this paper, we present a calculus inspired physics experiment suitable for high school and undergraduate programs. A model for the theory of the terminal velocity of a falling body subject to a resistive force is developed and its validity tested in an…

Descriptors: Secondary School Science, Science Instruction, High Schools, Science Laboratories

Karadeniz, Ilyas; Thompson, Denisse R. – International Journal of Mathematical Education in Science and Technology, 2018

Graphing calculators are hand-held technological tools currently used in mathematics classrooms. Teachers' perspectives on using graphing calculators are important in terms of exploring what teachers think about using such technology in advanced mathematics courses, particularly precalculus courses. A descriptive intrinsic case study was conducted…

Descriptors: Mathematics Instruction, Graphing Calculators, Teacher Attitudes, Mathematics Teachers

Sedaghatjou, Mina – International Journal of Mathematical Education in Science and Technology, 2018

This study illustrates how mathematical communication and learning are inherently multimodal and embodied; hence, sight-disabled students are also able to conceptualize visuospatial information and mathematical concepts through tactile and auditory activities. Adapting a perceptuomotor integration approach, the study shows that the lack of access…

Descriptors: Mathematics Instruction, Advanced Courses, Foreign Countries, Visual Impairments

Traxler, Adrienne; Henderson, Rachel; Stewart, John; Stewart, Gay; Papak, Alexis; Lindell, Rebecca – Physical Review Physics Education Research, 2018

Research on the test structure of the Force Concept Inventory (FCI) has largely ignored gender, and research on FCI gender effects (often reported as "gender gaps") has seldom interrogated the structure of the test. These rarely crossed streams of research leave open the possibility that the FCI may not be structurally valid across…

Descriptors: Physics, Science Instruction, Sex Fairness, Gender Differences

Mediating Relationship of Differential Products in Understanding Integration in Introductory Physics

Amos, Nathaniel; Heckler, Andrew F. – Physical Review Physics Education Research, 2018

In the context of introductory physics, we study student conceptual understanding of differentials, differential products, and integrals and possible pathways to understanding these quantities. We developed a multiple choice conceptual assessment employing a variety of physical contexts probing physical understanding of these three quantities and…

Descriptors: Physics, Introductory Courses, Science Instruction, Scores

Young, Nicholas T.; Heckler, Andrew F. – Physical Review Physics Education Research, 2018

In the context of a generic harmonic oscillator, we investigated students' accuracy in determining the period, frequency, and angular frequency from mathematical and graphical representations. In a series of studies including interviews, free response tests, and multiple-choice tests developed in an iterative process, we assessed students in both…

Descriptors: Interviews, Accuracy, Multiple Choice Tests, Algebra

Jones, Steven R. – Educational Studies in Mathematics, 2018

Many mathematical concepts may have prototypical images associated with them. While prototypes can be beneficial for efficient thinking or reasoning, they may also have self-attributes that may impact reasoning about the concept. It is essential that mathematics educators understand these prototype images in order to fully recognize their benefits…

Descriptors: Mathematics Instruction, Models, Mathematical Concepts, Concept Formation

Calm, Remei; Masià, Ramon; Olivé, Carme; Parés, Núria; Pozo, Francesc; Ripoll, Jordi; Sancho-Vinuesa, Teresa – Journal of Technology and Science Education, 2017

Calculus courses often present a large number of difficulties to undergraduate students of scientific studies, especially in engineering degrees. These difficulties are sometimes related to teaching and assessment strategies. In this paper, a teaching innovation experience is presented within the framework of the Universitat Oberta de Catalunya.…

Descriptors: Tests, Online Courses, Calculus, Mathematics Instruction

Jones, Steven R.; Lim, YaeRi; Chandler, Katie R. – International Journal of Science and Mathematics Education, 2017

Past research in calculus education has shown that Riemann sum-based conceptions of the definite integral, such as the multiplicatively based summation (MBS) conception, can have important value in interpreting and making sense of certain types of definite integral expressions. However, additional research has shown that students tend to not draw…

Descriptors: Calculus, Concept Teaching, Mathematical Concepts, Introductory Courses

Silverman, Jason – Journal of Computers in Mathematics and Science Teaching, 2017

This article explores one segment of an extended research and development project that was conducted to better understand the ways online teacher professional development can support teachers' development of deep and connected mathematical understandings. In particular, this article discusses teachers' understandings of the concept of…

Descriptors: Mathematics Teachers, Pedagogical Content Knowledge, Online Courses, Faculty Development

van de Sande, Carla; Abramson, Jay; Judson-Garcia, Julia – Journal of Computers in Mathematics and Science Teaching, 2017

Taking notes is a popular activity for students attending instructional lectures and has been linked to achievement. Research on note-taking has shown that the contents and usefulness of student notes depends on several factors, including the pace of the lecture and the presence of organizational and selection cues. However, this research has…

Descriptors: Notetaking, Online Courses, Calculus, Mathematics Instruction

Reinholz, Daniel – Assessment & Evaluation in Higher Education, 2017

This paper describes an intervention for improving the quality of peer assessment conferences in calculus. Although a body of work highlights the learning benefits of peer assessment, few papers have described the nature of student conversations during peer conferences/assessment in detail. This paper provides deeper insight into what those…

Descriptors: Peer Evaluation, Calculus, Training, Interpersonal Communication

Usman, Ahmed Ibrahim – European Journal of Science and Mathematics Education, 2017

The paper investigates geometric errors students made as they tried to use their basic geometric knowledge in the solution of the Applied Calculus Optimization Problem (ACOP). Inaccuracies related to the drawing of geometric diagrams (visualization skills) and those associated with the application of basic differentiation concepts into ACOP…

Descriptors: Mathematics Education, Mathematical Applications, Geometry, Calculus

Johnson, Iryna Y.; Muse, William B. – Research in Higher Education, 2017

Females are underrepresented in certain disciplines, which translates into their having less promising career outlooks and lower earnings. This study examines the effects of socio-economic status, academic performance, high school curriculum and involvement in extra-curricular activities, as well as self-efficacy for academic achievement on…

Descriptors: Decision Making, Majors (Students), Engineering Education, State Universities