Learners in general struggle when working with word problems. South African learners in particular have an added barrier owing to the many official languages that have been legislated. The South African Department of Basic Education, through its curriculum statements, envisages that problem solving will play a fundamental part in mathematics…

In Vietnam, STEM-based teaching approaches have been recommended for schools since 2018 with the integration of multiple courses in schools. Teachers' perspectives on integrated STEM education, and how to design a STEM lesson that supports students' learning are critical for ensuring that an integrated STEM curriculum is to be implemented…

Context personalization refers to matching instruction to students' out-of-school interests and experiences. Belief in the benefits of matching instruction to interests is widely held in the culture of schooling; however, little research has empirically examined how interest impacts performance and learning in secondary mathematics. Here we…

A parabola is an interesting curve. What makes it interesting at the secondary school level is the fact that this curve is presented in both its contexts: algebraic and geometric. Being one of Apollonius' conic sections, the parabola is basically a geometric entity. It is, however, typically known for its algebraic characteristics, in particular…

In recent years, teachers have noticed a drop in student effort on complex problems in math and science. The purpose of this study was to determine if incorporating cooperative learning and self-recording strategies had an impact upon student effort on complex problems. A total of 38 9th through 11th grade math and science students at two…

A ninth grade English curriculum combined group work, the inquiry method, problem solving, and creative dramatics to prepare students to meet a changing future. (DD)

Reports the findings of a study which examined the knowledge and problem-solving strategies used by 14 ninth grade biology students to solve three types of basic genetics problems. Concludes that although most students could solve problems correctly, they sometimes lacked meaningful understanding or could not interrelate concepts. (DC)

Presents three open-ended problems as a basis for discussing concerns and possible hazards in their solution, including partial answers or unjustified guesses, and considers the appropriate use of these types of problems. Appendices include problem solutions. (MKR)

The effects of instruction on the ability of children to generate written hypotheses and ask questions about variables pertaining to scientific discrepant events were investigated. Two hundred five ninth graders were assigned to a control group or one of four experimental instruction groups. The experimental instruction was received by watching a…

A model of qualities of mathematical activity was developed within a framework of learning goals. A clinical application of the model is described, in which ninth-grade students were given assignment projects. A hierarchy of effective guidance was established, permitting diagnostic evaluation and progressive development of mathematical activity.…

This paper addresses components of a 3-year longitudinal study in which 9th and 10th grade students in Australia, Canada, and Zambia participated in data-handling programs through networked learning communities. Of interest here are the students' responses to a selection of "ends-in-view" problems, which formed the major part of the…

Defines cases, symmetry, and analysis as the heuristic strategies most commonly employed by a select group of high school students in solving novel mathematics problems. Confirms that the utilization of heuristics appears to be problem-dependent. Describes the procedure, actual problems, results, and recommendations of the study. (SB)

Discusses effectiveness of hints given to (n=100) ninth-grade students solving nonstandard problems on functions. Hints that stimulated concrete action were effective if the action modeled the required solution method. Hints that only warned against certain mistakes were ineffective. Appendix includes problems and hints. (MKR/Author)

Discussion of the triarchic theory of intelligence focuses on a study of ninth graders that explored the relationships between student abilities and the cognitive and attitudinal outcomes that resulted from student immersion in a computer-based inquiry environment. Examines outcome variables related to content understanding, problem solving, and…

Subjects selected from all the ninth grade intact science classes of a suburban junior high school were assigned to either a control group or one of four intensive instruction groups. The procedures for each instructional group included both watching a discrepant event until six acceptable hypotheses were written and individual discussion during…