Graph theory allows the student to work on problems that require imagination, intuition, systematic exploration, conjecturing, and reasoning. It implies that mathematical investigation skill is essential to be proficient in Graph Theory. In this study, we conduct empirical research that deals with associational research. There were 97 students…

One of the well-known approaches to creativity differentiates between creative person, process, product, and press. In the study presented in this paper we focus on creative process and product associated with Problem Posing through Investigation (PPI) by experts in mathematical problem solving. We link the creative process to creativity of PPI…

In this research, our objective is to characterize the problem-solving procedures of primary and lower secondary students when they solve problems in real class conditions. To do so, we rely first on the concept of heuristics. As this term is very polysemic, we exploit the definition proposed by Rott (2014) to develop a coding manual and thus…

The statistical problem-solving process is key to the statistics curriculum at the school level, post-secondary, and in statistical practice. The process has four main components: formulate questions, collect data, analyze data, and interpret results. The Pre-K-12 Guidelines for Assessment and Instruction in Statistics Education (GAISE) emphasizes…

Extant research has demonstrated that problem-posing and problem-solving mutually affect one another. However, the exact nature and extent of this relationship requires a detailed elaboration. This is especially true when adidactical problem-posing arises within a problem-solving context. In this study, we analyze the scripting journey used by two…

What difficulties do architecture students encounter in the structural design for their final master project? How do they address these difficulties? This paper presents the topic and focuses on these two research questions by examining the students' experience, using thematic analysis with a qualitative approach. We obtained the data through…

Today science teachers are expected to understand the nature of environmental education, and be competent in skills, methods, and procedures relevant to a science discipline. The purpose of this research was to explore pre-service science teachers' views with regard to environmental education, investigation conducted during a freshwater ecosystem…

Space is a key area of science that is often taught in year 5 (ages 9-10) in English schools and related to this is gravitational force. Almost without exception children enjoy learning about the solar system and beyond. This article introduces a series of activities for children to explore the formation of impact craters in the solar system. The…

The book that inspired millions of educators to refine their approach to teaching returns for an all-new third edition. Built on a more rigorous research base and updated to emphasize student diversity, equity, and inclusion, "The New Classroom Instruction That Works" offers a streamlined focus on the 14 instructional strategies proven…

We deal with an application of partial differential equations to the correct definition of a wine cellar. We present some historical details about this problem. We also discuss how to build or renew a wine cellar, creating ideal conditions for the ageing process and improving the quality of wines. Our goal is to calculate the optimal depth…

COVID-19 is the first global pandemic in the age of the internet and the world has collectively documented the virus's spread, offering a unique opportunity to study both the virus and the streams related to COVID-19, on topics from testing access to income to race. They develop their own research question to investigate the relationship between…

This report is based on an activity completed by 89 Grade 6 students carrying out a statistical investigation with a focus on posing an initial question given a context and then refining it for a chosen data set. Having reached a conclusion based on evidence from their data analysis, students were given additional information on the context and…

Two simple discrete-time models of mutation-induced cannibalism are introduced and investigated, one linear and one nonlinear. Both form the basis for possible classroom activities and independent investigative study. A range of classroom exercises are provided, along with suggestions for further investigations.

Students learning the skills of science benefit from opportunities to move between the scientific problems and questions they confront and the mathematical tools available to answer the questions and solve the problems. Indeed, students learn science best when they are actively engaged in pursuing answers to authentic and relevant questions. We…

Proponents of dynamic testing have advocated its use as a replacement or addition to conventional tests. This research aimed to investigate the effects of using versus not using a pretest on both the outcome on the posttest and the processes used in solving inductive reasoning tasks in dynamic testing using a graduated prompts training.…