Mathematical Misconceptions

2019 ◽  
Vol 112 (6) ◽  
pp. 404

Working to correct misconceptions and errors is a natural part of teaching and learning mathematics. Rather than seeing errors as something to avoid, how can teachers and students capitalize on them to create learning opportunities? Catalyzing Change in High School Mathematics: Initiating Critical Conversations suggests that teachers actively plan for student errors and misconceptions by designing lessons that— promote a classroom culture in which mistakes and errors are viewed as important reasoning opportunities to encourage a wider range of students to engage in mathematical discussions with their peers and the teacher. (NCTM 2018, p. 34)

2011 ◽  
Vol 18 (2) ◽  
pp. 68-69
Author(s):  
Andrea Christie

Share news about happenings in the field of elementary school mathematics education, views on matters pertaining to teaching and learning mathematics in the early childhood or elementary school years, and reactions to previously published opinion pieces or articles.


2016 ◽  
Vol 22 (6) ◽  
pp. 325-329 ◽  
Author(s):  
Drew Polly

Readers share news about happenings in the field of elementary school mathematics education, views on matters pertaining to teaching and learning mathematics in the early childhood or elementary school years, and reactions to previously published opinion pieces or articles.


2011 ◽  
Vol 18 (1) ◽  
pp. 4-5
Author(s):  
Tyrette S. Carter

Share news about happenings in the field of elementary school mathematics education, views on matters pertaining to teaching and learning mathematics in the early childhood or elementary school years, and reactions to previously published opinion pieces or articles.


2008 ◽  
Vol 13 (9) ◽  
pp. 500-512
Author(s):  
Maria L. Fernández ◽  
Robert C. Schoen

During hurricane season, maps that track predicted storm paths are commonly seen on television and the Internet. The Weather Channel often receives number-one viewership ratings in regions encountering a major weather event, such as a hurricane or tornado (Kloer 2001). Mathematics teachers can tap into students' curiosity and interest about hurricanes to develop their understanding of mathematical ideas within a real-life context. In this article, we discuss observations and findings after implementing mathematics tasks based on data about hurricanes. Finding patterns and relationships, creating and interpreting graphs, and examining rates of change are just a few of the topics that can be studied. We developed these tasks as part of the Students' Transition Toward Algebra project and have used them with both middle school teachers and students.


2002 ◽  
Vol 9 (2) ◽  
pp. 114-118
Author(s):  
Jacqueline Leonard ◽  
Smita Guha

Current reform in mathematics education, spurred by the National Council of Teachers of Mathematics (NCTM), emphasizes the importance of making connections to the realworld experiences of children. Even in such activities as riding a bus, subway train, or bicycle to school, the cultural experiences of children from diverse backgrounds provide teachers and students with a plethora of mathematics problems. Culture is meaning that is shared by a group of people who hold common values and beliefs (Malloy and Malloy 1998). Members of the group may have racial, ethnic, political, or community ties, which can be used as springboards for culturally relevant teaching.


2019 ◽  
Vol 25 (5) ◽  
pp. 262-263
Author(s):  
Jane F. Schielack

Share news about happenings in the field of elementary school mathematics education, views on matters pertaining to teaching and learning mathematics in the early childhood or elementary school years, and reactions to previously published opinion pieces or articles. Find detailed department submission guidelines at http://www.nctm.org/WriteForTCM. Jane F. Schielack


2016 ◽  
Vol 23 (5) ◽  
pp. 269-272
Author(s):  
Mathew D. Felton-Koestler

Share news about happenings in the field of elementary school mathematics education, views on matters pertaining to teaching and learning mathematics in the early childhood or elementary school years, and reactions to previously published opinion pieces or articles. Find detailed department submission guidelines at http://www.nctm.org/WriteForTCM.


Author(s):  
Shemunyenge Hamukwaya

This study focusses on the views of students in learning grade 11 mathematics in terms of their needs and aspirations regarding access to high-level mathematics teaching and learning opportunities. Students who participated in this study (88 grade 11 Namibian students) were identified as having learning difficulties by their mathematics teachers, but these students did not (themselves)consider that they had difficulties. The author attempts to understand why students believed they do not have difficulties in learning mathematics. A qualitative method was employed, and the students were investigated via semi-structured interviews. The transcripts were analysed using an interpretational analysis. This study revealed that students display interest in learning mathematics and that they tend to feel comfortable with the subject despite certain influencing factors. The students’ perceptions are that their learning processes were negatively affected by aspects of systemic factors, teachers’ and students’ own factors, and access to learning resources. The students feel that they lack high-level access to teaching and learning, and this limits their potential for achieving the level at which they are expected to perform and be academically successful. In addition to the implications that emerged, this study makes recommendations on what should be done to address the negative factors perceived by the students.


Author(s):  
Mavis Okyere ◽  
Ernest Larbi

The study investigated senior high school mathematics teachers’ perception and practices of classroom assessment since assessment is considered a critical tool for assessing the achievement of learning objectives in particular and educational goals in general. The study adopted a mixed-methods design. Sixty-two mathematics teachers were sampled from the selected schools to participate in the study. The instrument used in the data collection was a questionnaire. The internal consistency of the instrument designed had a calculated Cronbach alpha reliability coefficient of 0.74. The quantitative data gathered were analysed using descriptive statistics. The results from the study revealed that mathematics teachers had a positive perception about classroom assessment as most of them indicated that assessment is a tool to inform teaching and learning. There were, however, few teachers who still had a negative perception about assessment. Their reasons being that assessment had always been a tool for assigning grades and also used to promote students, hence had little benefit to teaching and learning process. The study also showed that the mathematics teachers’ practices of classroom assessment did not match up to the views they held about classroom assessment. Retraining of teachers through seminars and workshops were therefore recommended.


2009 ◽  
Vol 103 (1) ◽  
pp. 69

The Mathematics Teacher is eager to publish articles about teaching mathematics at the entry level. These courses are critical to fostering students' pursuit of and love for learning mathematics through the high school years and beyond.


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