Nonlinear equations are usually solved numerically. However, approximated analytical solutions of nonlinear equations are useful as an initial iteration point for numerical methods. Furthermore, these analytical approximations are sometimes quite close to the actual root. In order to teach at undergraduate level how to perform this kind of…

Current educational systems are making shifts from teacher-centered to learner-centered environments. This shift creates space for more involvement from students in their own instructional and assessment processes that sets them up for success in a method that allows them control of their achievement. Teachers have to assess and reflect on their…

This study aimed at analyzing the impact of problem-based learning (PBL) in improving physics students' conceptual understanding of mechanical waves. This study used a quasiexperimental, pretest-post-test control group design with PBL instruction as a teaching intervention. The participants of this study were 239 physics students from 19 secondary…

The purpose of this action research study was to explore the impact of problem-based learning on science instruction in my eighth-grade college preparatory classroom. Constructivism was the framework for this study. Problem-based learning is based on constructivist principles, and it served as the instructional model for this study. PBL can foster…

The limited time allocation for lectures in the classroom is an obstacle to presenting student-centered learning. This is one of the factors that prospective physics teacher students experience conceptual difficulties, especially in crystal structure material. So the purpose of this study was to determine the effectiveness of the problem flipped…

This article presents how Problem- and Project-Based Learning (PBL) in engineering education can exploit the theoretical framework of the Space-Time (ST)-Continuum, according to which educational contexts can be classified in terms of the tightness vs. looseness of the relevant conceptual space S and available time T. By crossing these two…

Climate change put most species' survival in danger because it substantially affects the climate in which the species live, the quality of the water they drink, as well as the temperature of the air or water. When climate change increases the temperature of the climate, excessive evaporation occurs in lands, lakes, seas, and oceans. Our purpose in…

Ethnomatemics-based mathematics concept implementation can be carried out through constructivism-based learning such as realistic mathematics, problem-based and learning with a scientific approach. This research purpose to explore the form of ethnomatemics on the woven cabbage leaves of the Tutuwaru community and analyze the process of…

Problem-based learning encourages students to deepen their understanding of a concept by working through a real-world example of course content. Case studies represent a form of problem-based learning that engages students in realistic scenarios to achieve a deeper understanding of concepts. Case studies have been shown to facilitate the learning…

A mental model (MM) is an internal representation of students' conceptual understanding. Currently, students have still had difficulties in explaining the physical state of elasticity of solid materials, at submicroscopic level. These difficulties call for this research. Through a mixed method, the study aimed to reveal the development and…

Mathematics is one of the important disciplines for students to solve day-to-day problems in life. Attitude towards mathematics and mathematics learning is critical for a better learning to happen. This study was conducted to investigate the effect of instructional approaches on attitudes of students towards mathematics learning. Quasi-experiment…

The premise on which our synthesis is based is the fragmentation of research focused on teaching and learning in mathematics. Our intention is to build an aggregate synthesis from these sources in the context of school education and meaningful learning. Our research targets the links between the different approaches used in teaching, interaction…

Students often have misconceptions about terrestrial carbon flows and there is a lack of coherence in students' explanations regarding the different levels of biological organisation at which these processes occur. In this study, problem-based teaching materials on the topic of terrestrial carbon flows were developed and tested with 15 students…

Research has highlighted difficulties experienced by students when studying quantum physics in introductory courses. In this paper, we present a teaching and learning sequence (TLS) aiming at introducing a quantum model of emission and absorption of radiation and we assess its impact on the students' learning about atomic spectra. The TLS has been…

Knowing the facts is not enough. If we want students to develop intellectually, creatively problem-solve, and grapple with complexity, the key is in "conceptual understanding." A Concept-Based curriculum recaptures students' innate curiosity about the world and provides the thrilling feeling of engaging one's mind. This updated edition…