This paper will provide several examples of science and mathematics integration: navigation/map-reading, ecology/ecosystems/population growth, and chemistry/molecular structures. This paper underscores integrating STEM subjects with problem-based learning with technology such as video/computer simulations/programming/coding and the dynamic free…

When the author returned to teaching after several years in graduate school, she came armed with knowledge and visions of a student-centered classroom. Her experiences in a doctoral program taught her much about effective mathematics instruction and rekindled her desire to teach. However, a student-centered classroom reflected a major shift in…

This viewpoint paper presents the writer's opinion that while the use of problem solving as the core method for learning mathematics is valid and reasonable in secondary schools (where students generally possess the necessary prior skills and strategies) there are many obstacles to applying the same method in primary schools, particularly in the…

The author of this article argues that, just as Americans were shocked into action, when the Soviet Union launched Sputnik in 1957, by strengthening STEM (science, technology, engineering, and mathematics) in the educational curriculum, Americans must be shocked again. The nation must address the failure of its leaders to provide adequate funding…

This article deals with the use of Problem-Based Learning. The emphasis on high stakes testing, classroom size, diversity, school violence, and much more impact public education and professional preparation programs relative to teacher education. Issues are presented dealing with Accrediting Commissions and Professional Organizations, and the use…

This paper examines to show how an investigative approach to mathematics teaching can honor its two important dimensions--a thinking and reasoning side to go with the skill development. The paper addresses the question of why a problem solving approach has failed, makes the case for investigations as an overarching organizer, and discusses the…

Discusses the limitations in the explain-practice and active learning methods of teaching mathematics. Proposes that problem-centered learning is a teaching method that encourages student reflection, and presents examples demonstrating that encouraging reflection results in greater mathematics achievement. (MDH)

Recommends that teachers prompt intellectual preparation of adolescents by asking intriguing questions, presenting captivating tasks, opening compelling investigations, or assigning appealing roles. Discusses discipline-based inquiry by young students in science, mathematics, social studies, English, and the fine arts. Challenges teachers to…

This paper discusses the author's personal experiences in developing and implementing a problem-based college mathematics course for liberal arts majors. This project was initiated in response to the realization that most students are dependent on "patterning" learning algorithms and have no expectation that self-initiated thinking is a…