This qualitative review aims to describe the current status of problem-based learning (PBL) implementation in mathematics and identify research gaps in the area of investigation. Literature was searched using the ERIC and Google Scholar search engines. The inclusion/exclusion criteria included: articles published in reputable journals in English…

South Africa has been battling with the poor performance of learners in Mathematics for a long time, with the Eastern Cape province being the worst-performing province. The Department of Education and other educational stakeholders have embarked on a journey of searching for solutions. Some of these include the use of Information communication…

Critical thinking skills are one of the four skills needed in the 21st century. Critical thinking skills are so important that they need to be taught and included in the school curriculum. This research aims to: (1) describe the critical thinking skills of junior high school students in solving mathematical problems and (2) identify the students'…

Increasing and decreasing functions can be combined into a quadratic to explore the competing demands of number of sales, price points and profit (or loss). An interesting application of taxation rates is also explored.

Although traditional textbooks may not guide students through explorations or encourage group work, as many standards-based curricula do, virtually all textbooks contain mathematically accurate information and problems that, with adjustment, can be leveraged to support mathematical curiosity, reasoning, and discussion. Teachers who recognize rich…

Indonesian students' poor performance in the mathematics test of PISA 2015 prompted the decision by the Ministry of Education of Indonesia to pay more attention to the integration of higher-order thinking (HOT) in the curricula starting in 2018. This new regulation emphasizes the need to have a shared understanding of HOT in mathematics on many…

This study aims to identify the level of knowledge and practice on the implementation of higher-order thinking skills (HOTS) among mathematics teachers at a secondary school in the district of Terengganu. The study focused on the aspects of curriculum, pedagogy and assessment and compared them with demographic factors of the respondents. It used…

Teachers' critical thinking skills are essential for fostering the development of the same skills in their students. To demonstrate how teachers' ability to examine solutions critically can be developed and supported, we analyse a classroom activity performed by a group of pre-service secondary school mathematics teachers (N = 37) who were asked:…

Students are often encouraged to work on problems "like mathematicians"--to be persistent, to investigate different approaches, and to evaluate solutions. This behavior, regarded as problem solving, is an essential component of mathematical practice. Some crucial aspects of problem solving include defining and interpreting problems, working with…

This article sheds light and reflects on how students in grades seven and eight read and understand implicit data when solving a story problem. Problem solving experiences help in adding up to the child's mathematical knowledge and promote a higher level of critical thinking abilities. Seventh and eighth grade students were selected from two…

This study is based on our belief that mathematics should be challenging in any classroom and that mathematical challenge is among the central factors that determine the quality of mathematics lessons. Choosing challenging mathematical problem for the students is central in teachers' work while their conception of mathematical challenge can…

Highlights the argument that states that problem solving is much more than just solving problems, by focusing on problem-solving history, George Polya's view of problem solving, Asians' successful use of multiple intuitive solutions, and other examples. (ASK)

Brief mystery stories such as the three presented here can be used to help students develop critical reading and thinking skills, as well as to introduce the notion of indirect proof. (SD)

Students, playing the game described, develop strategies for guessing the four-digit number chosen by the opponent. The rules of the game are easily understood by low achievers, yet strategy development is challenging to advanced students. The game can be extended to numbers having more digits. (SD)

Three sequences of coursework are detailed in the curriculum development guidelines provided in this document. The 4-year sequence, structured around problem-solving, applications, and the acquisition of theory, is designed for the college-bound student who plans to enter a mathematics-based field of study. The 3-year sequence is designed for…