eric.ed.gov har udgivet: The Partnership for Assessment of Readiness for College and Careers (PARCC) commissioned a multi-part study to determine the viability of using the drawing response interaction on the PARCC Mathematics Assessment. This study in particular focused on students with disabilities. PARCC has over 40 interaction types on the summative assessments. Why introduce a drawing response interaction? There are several drivers to the addition of this functionality. The first is comparability. While scores across modes are comparable overall, they could be stronger at the lower grades. Students who respond to constructed response on paper can provide drawings. Feedback from students in lower grades from the mode comparability study indicated the desire for a drawing tool. Data from the scoring of paper responses indicates up to 10% of the responses… Continue Reading →

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eric.ed.gov har udgivet: Each child will not become senior mathematicians in the future but all children have the right to get learning opportunities which he/she can develop his/her mathematical understanding at school. The success of children in mathematics is closely related to how they are taught mathematics. At this point, the role of teaching mathematics stands out in elementary school since they first encounter mathematics as a subject. Elementary school is the place where students first experience success or failure in mathematics. Therefore, the fundamentals of students’ tendencies towards mathematics which will set and affect their future learning life are also laid here. The present study aims to examine the perceptions of elementary school students towards learning mathematics by means of their drawings. Drawings are tools for children to express… Continue Reading →

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eric.ed.gov har udgivet: A design experiment with 18 students in a regular seventh grade math class was conducted to investigate how to differentiate instruction for students’ diverse ways of thinking during a 26-day unit on proportional reasoning. The class included students operating with three different multiplicative concepts that have been found to influence rational number knowledge and algebraic reasoning. The researchers and classroom teacher tiered instruction during a 5-day segment of the unit in which students worked on problems involving speed. Students were grouped relatively homogenously by multiplicative concept and experienced different number choices. Students operating at each multiplicative concept demonstrated evidence of learning, but all did not learn the same thing. We view this study as a step in supporting equitable approaches to students’ diverse ways of thinking, an… Continue Reading →

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eric.ed.gov har udgivet: This study examines a group of prospective teachers’ reflections upon the way they were taught (Set 1) and the way they want to teach (Set 2) through drawings which respectively describe their past learning experiences as students and their future plans as teachers. The purpose of this study is to identify: (a) the emerging themes that appear in each set of drawing data, (b) the possible factors that influence prospective teachers’ drawings, and (c) the implications for mathematics teacher educators. Overall, prospective teachers showed predominantly negative or mixed feelings about their past experiences as mathematics students. In response to their own past negative experiences and struggles, the prospective teachers tended to highlight emotionally supportive classroom environment and versatile instructional teaching strategies in their future plans. This study… Continue Reading →

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eric.ed.gov har udgivet: The present study examined lower secondary students’ images of mathematics, comprised of stated attitudes to and perceived needs for mathematics, and views about mathematicians and their work. A group of 1284 lower secondary students drew a picture of mathematician at work and described their drawings. The students’ drawings fell into two distinct groups: drawings that depicted their view of what a mathematician at work would look like, and drawings that depicted a mathematician who was clearly a mathematics teacher. This article presents the data regarding the latter group. Trends that emerged from the drawings in this sample included that mathematics teachers were: predominantly female; had a positive image; incorporated lectures, explanations, and demonstrations; and used whiteboards and books as tools of the profession. The article concludes with… Continue Reading →

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eric.ed.gov har udgivet: Sixty-two elementary pre-service teachers enrolled in a mathematics methods course were asked to “draw math” at the beginning and end of the semester. These drawings were used to examine the initial perceptions and how these changed by the end of the semester of methods and field experiences. Findings describe the various drawings and possible meanings behind the drawings. These drawings help explain the vision of mathematics that teacher candidates have before and after exploring teaching methods and implementing these methods with elementary students. This study provides insight into the experiences and images that pre-service teachers associate with both positive and negative emotions towards mathematics. Rich student dialogue about the drawings led to teacher reflection on how their emotions, attitudes, and experiences influence the way they teach mathematics… Continue Reading →

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