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Teaching Critical And Creative Thinking Skills Through Problem-Solving In High School Mathematics Classes, Daniel L. Albert
Teaching Critical And Creative Thinking Skills Through Problem-Solving In High School Mathematics Classes, Daniel L. Albert
Critical and Creative Thinking Capstones Collection
I am a high school mathematics teacher who wants students to develop the thought process that allows them to uncover and use the patterns that are the heart of mathematics. Misconceptions belittle the subject, however, and disrupt the progress of my high school students because it disguises the purpose of studying math. My purpose in joining the Critical and Creative Thinking program at the University of Massachusetts Boston was to learn about the skills and methodologies that assist in the teaching and learning of thinking critically and creatively. This paper shows the progress and evolution of my capstone project—a set …
Have Your Π And Eat It Too! Using A Course Website To Facilitate Student-Centered Learning And Improve The Effectiveness Of The High School Mathematics Experience, Jeffrey Bretsch
Critical and Creative Thinking Capstones Collection
The National Council of Teachers of Mathematics recommends that teachers provide their students with opportunities for student-centered learning. This often occurs in the form of discovery learning, hands-on learning, and interdisciplinary learning. These types of learning experiences fall under the umbrella of the educational theory of constructivism. Constructivism, in short, asserts that meaningful learning occurs when students actively construct their own understanding, making connections and drawing their own conclusions in response to genuine experiences. Many educators would agree that this type of learning is the ideal, but is not generally feasible due to the broad nature of the mathematics curriculum …
Geometry In Action: A Curriculum Unit Utilizing Dynamic Geometry Software To Enhance Students’ Comprehension, Cynthia A. Mignini
Geometry In Action: A Curriculum Unit Utilizing Dynamic Geometry Software To Enhance Students’ Comprehension, Cynthia A. Mignini
Critical and Creative Thinking Capstones Collection
The paper identifies two critical obstacles to student success in a traditional geometry classroom and examines the role dynamic geometry software can play in overcoming these obstacles.
Student Held Misconceptions Regarding Area And Perimeter Of Rectangles, Susan M. Carle
Student Held Misconceptions Regarding Area And Perimeter Of Rectangles, Susan M. Carle
Critical and Creative Thinking Capstones Collection
Students enter the classroom with individual schemas, based on their experiences and ideas, which influence the reception, interpretation, and recollection of new information. Effective teachers must understand the implications of these existing schemas. As an experienced classroom teacher, the author finds students often manipulate and apply new information well in class, only to forget or alter the material a few weeks later;. When misconceptions are woven into schemas, they interfere with reception of information. This thesis examines specific student-held misconceptions about the area and perimeter of rectangles and the process of their identification and eradication. Identification of the misconception is …
Restructuring For Mathematical Power: Techniques For Teaching Thinking In Algebra, Barbara D. Nelson
Restructuring For Mathematical Power: Techniques For Teaching Thinking In Algebra, Barbara D. Nelson
Critical and Creative Thinking Capstones Collection
Recent critiques of mathematics education have resulted in proposals to restructure learning and teaching for mathematical power. The new vision pictures the classroom as a community of learners where mathematics come alive as a useful tool in our technological society. However, many high school mathematics teachers are struggling to understand and implement the fundamental instructional change inherent in the vision. Written from the perspective of a high school teacher for experienced high school mathematics teachers, this thesis attempts to bridge vision and practice. To clarify the vision, current literature on reform in mathematics education is synthesized into a framework of …
Cooperative Learning On Mathematical Problem Solving: Reflections By A Traditional Teacher And Her Students, Diana Metsisto
Cooperative Learning On Mathematical Problem Solving: Reflections By A Traditional Teacher And Her Students, Diana Metsisto
Critical and Creative Thinking Capstones Collection
As our society becomes more technologically complex, the educational system preparing our students to become citizens of this society must adapt to met changing demands. Mathematical literacy of the 21st century will require a different model of mathematics education than that which served in the past. This thesis argues for a model of mathematics education which includes as key components: problem solving, question posing, cooperative learning, concrete manipulatives, and teaching for thinking. This new model sets forth guidelines for a facilitative approach to the teaching of mathematics as opposed to the more traditional, authoritative model. This facilitative model is based …