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University of Massachusetts Boston

Critical and Creative Thinking Capstones Collection

Mathematics

Publication Year

Articles 1 - 3 of 3

Full-Text Articles in Secondary Education and Teaching

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 May 2005

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 May 2001

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 Dec 1993

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 …