Impact of the Mathematical Modeling on Conceptual Understanding Among Student-Teachers (original) (raw)

Mathematical Modeling from the Teacher's Perspective

2016

Mathematical Modeling from the Teacher’s Perspective Christopher J. Huson Applying mathematics to real world problems, mathematical modeling, has risen in priority with the adoption of the Common Core State Standards for Mathematics (National Governors Association and the Council of Chief State School Officers, 2010). Teachers are at the core of the implementation of the standards, but resources to help them teach modeling are relatively undeveloped. This multicase study explored the perspectives of teachers regarding mathematical modeling pedagogy (the modeling cycle), instructional materials, and professional collaboration, with the assumption that understanding teachers’ views will assist authors, publishers, teacher educators, and administrators to develop better support for modeling instruction. A purposeful sample of six high school mathematics teachers from a variety of school settings across the country was interviewed using a semi-structured protocol. A conceptual framework...

The Implication of Mathematical Modeling in Teaching

Most teachers use lecture method frequently, giving the students little chances for more interaction, discovery approaches, team efforts, and experimentation in the classroom and relying on traditional mathematics textbooks which mostly provide single and straightforward solution problems at which students only apply a ready-made formula to reach a solution. This leads the students to believe the subject mathematics as a mere transmission of resolution techniques, being rather than a tool in another area of knowledge. On the contrary, students working on modeling activities focus on analyzing a problematic situation, setting and testing conjectures and model construction. This paper describes the main implications of modeling in the teaching of mathematics by designing and conducting in a short teaching intervention via model-eliciting activities. The data was collected through class observation, review of textbook, questionnaires, interviews, and students’ final reports detailing the processes used in developing the model for the model-eliciting activities. The analysis of the data revealed the following results: the participating students were able to work effectively with model-eliciting activities that enable them to discover the meaning of the mathematical concepts, few modeling tasks were incorporated in the textbook, students’ report showed that their prior experience gained from the first modeling activity helped them to develop a better model and interpret the solutions back to reality, and teachers and students believed that teaching and learning via model-eliciting activities could improve the teaching-learning of mathematics.

An Investigation of Teachers’ Views on Applicability of Modeling in Mathematics Courses

Journal of Education and Training Studies

The purpose of this study has been to determine the views of elementary mathematics teachers on the applicability of modeling in mathematics courses. A case study was conducted with 17 elementary mathematics teachers working in various provinces in Turkey. An interview form consisting of open-ended questions was designed for the purpose of collecting data, which was obtained through semi-structured interviews. From the categories constituting the themes developed via the views of the teachers, four major conclusions and one minor conclusion were reached at the end of the study. Study results showed that the elementary mathematics teachers’ knowledge of the process and teaching performance had an impact on their views of the applicability of modeling.

Mathematical modeling for teaching: An exploratory study

2020

We traced the impact of a designed unit of instruction on mathematical modeling on Prospective secondary teachers' knowledge about and efficacy towards teaching modeling. Analysis indicate that although teachers maintained modeling to be an important skill to be developed, absence of extensive experiences with mathematical modeling in the course of their own mathematical preparation hindered their ability to access pedagogical actions to be used in teaching.