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Eric.ed.gov – Math Is in the Eye of the Beholder.

eric.ed.gov har udgivet: A researcher surveyed 161 students in adult education math classes at four community colleges in Illinois and 13 adult education math teachers. Both groups were asked to complete the survey from the viewpoint of a student. The respondents were asked what should math classes teach; what kind of problems they most enjoy working on in class; whether they prefer working on their own in a good workbook with teacher help, working with a partner or small group, or working as a whole class; whether they think it is more productive to do workbook word problems, seek solutions to math problems in students’ lives, or practice addition, subtraction, multiplication, and division; would they rather listen to the teacher’s explanation, practice by solving games and puzzles, watch an example… Continue Reading

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Eric.ed.gov – A Case Study: Teachers’ Confidence in Their Own and Their Students’ Abilities in Deaf/Hard of Hearing High School Mathematics Classrooms

eric.ed.gov har udgivet: Current educational reform in mathematics education reflects attempts to incorporate the Common Core State Standards (CCSS). The CCSS decrees both content standards and mathematical practices (process standards) that students should master if they are to be sufficiently prepared for college or a career. This paper investigates the confidence reported by 16 deaf/hard of hearing high school teachers in their ability to teach all of the mathematical standards and practices, as well as their confidence in their students’ ability to learn the same. Results suggest that differences in these teachers’ confidence, as well as their confidence in their students’ ability, is directly related to differences between teachers with a college-level math qualification and teachers with no tertiary math qualification. Self-identified needs are distilled into suggested topics for, and… Continue Reading

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Eric.ed.gov – Forma Mentis Networks Reconstruct How Italian High Schoolers and International STEM Experts Perceive Teachers, Students, Scientists, and School

eric.ed.gov har udgivet: This study investigates how students and researchers shape their knowledge and perception of educational topics. The mindset or forma mentis of 159 Italian high school students and of 59 international researchers in science, technology, engineering and maths (STEM) are reconstructed through forma mentis networks, i.e., cognitive networks of concepts connected by free associations and enriched with sentiment labels. The layout of conceptual associations between positively/negatively/neutrally perceived concepts is informative on how people build their own mental constructs or beliefs about specific topics. Researchers displayed mixed positive/neutral mental representations of “teacher”, “student” and, “scientist”. Students’ conceptual associations of “scientist” were highly positive and largely non-stereotypical, although links about the “mad scientist” stereotype persisted. Students perceived “teacher” as a complex figure, associated with positive aspects like mentoring/knowledge transmission but… Continue Reading

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Eric.ed.gov – How Did You Solve It? — Teachers’ Approaches to Guiding Mathematics Problem Solving

eric.ed.gov har udgivet: This case study focuses on teachers’ actions during problem-solving lessons. The aim of this study was to find out how teachers guide students during mathematics problem-solving lessons: What kinds of questions do teachers ask? How do students arrive at solutions to problems? The dataset contained videotaped fourthgrade math lessons in which students solved a mathematical problem. The research reveals that teachers can guide students in numerous ways and possibly in ways that prevent students from searching for their own solution strategies. For this reason, problem-solving exercises alone are not sufficient for teaching problem solving for students, teachers must also be instructed in how to properly guide students. In the conclusion section, we discuss the types of questions that enable teachers to promote active learning in students, which… Continue Reading

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Eric.ed.gov – Teacher-Student Eye Contact during Scaffolding Collaborative Mathematical Problem-Solving

eric.ed.gov har udgivet: Teacher’s gaze communicates consciously and unconsciously her pedagogical priorities to the students. By creating and responding to eye contact initiatives, people can communicate both status and affection. This research explores the frequency of teacher-student eye contacts and their connection to teachers’ scaffolding intentions. The data consisted of mobile gaze tracking recordings of two teachers and stationary classroom videos during three collaborative mathematical problem-solving lessons. The quantitative analysis showed that most of the teacher gazes on student faces did not lead to dyadic eye contacts and those gazes that did, occurred often during affective and cognitive scaffolding. These results offer us novel and important insight in the nonverbal part of scaffolding interaction. Link til kilde

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Eric.ed.gov – After Two Years, Three Elementary Math Curricula Outperform a Fourth. NCEE Technical Appendix. NCEE 2013-4019

eric.ed.gov har udgivet: This appendix provides the details that underlie the analyses reported in the evaluation brief, “After Two Years, Three Elementary Math Curricula Outperform a Fourth.” The details are organized in six sections: Study Curricula and Design (Section A), Data Collection (Section B), Construction of the Analysis File (Section C), Curriculum Effects on Student Math Achievement (Section D), Curriculum Implementation (Section E), and Effects of Switching Curricula (Section F). (Contains 19 footnotes, 35 tables, and 2 figures.) [For the full report, see ED544185.] Link til kilde

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Eric.ed.gov – After Two Years, Three Elementary Math Curricula Outperform a Fourth. NCEE Evaluation Brief. NCEE 2013-4019

eric.ed.gov har udgivet: This brief aims to help educators understand the implications of math curriculum choice in the early elementary grades by presenting new findings from a study that examined how four math curricula affect students’ achievement across two years–from 1st through 2nd grades. The four curricula were (1) Investigations in Number, Data, and Space (Investigations); (2) Math Expressions; (3) Saxon Math (Saxon); and (4) Scott Foresman-Addison Wesley Mathematics (SFAW), which the developer revised and renamed enVision Math (enVision) during the study. These curricula are widely used and differ in their approaches to teaching and learning. Within districts, we randomly assigned one of the four curricula to each school that participated in the study. After one year (by the end of 1st grade), students taught with Math Expressions and Saxon… Continue Reading

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Eric.ed.gov – Scrutinizing Two Finnish Teachers’ Instructional Rationales and Perceived Tensions in Enacting Student Participation in Mathematical Discourse

eric.ed.gov har udgivet: This study employs interviews and observations to investigate instructional rationales of two purposefully sampled teachers with divergent classroom discourse practices in Swedish-speaking Finnish lower secondary mathematics classrooms. Studies on classroom discourse often point to beliefs and contextual factors shaping teachers’ discourse practices. Less is known about how tensions perceived by teachers can influence the instructional rationale in a context such as Finland, known for traditional and teacher-centered mathematics instruction. The findings of this study suggest that these Finnish teachers’ instructional rationales for differently enacted classroom-discourse practices are grounded in similar concerns of student needs, related to student learning, well-being, and equity. One of the teachers perceived tension between these concerns and mathematics education literature’s ideals of classroom discourse and avoided engaging students in discussions other than in… Continue Reading

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Eric.ed.gov – The Green Bean Has to Be Longer than Your Thumb: An Observational Study of Preschoolers’ Math and Science Experiences in a Garden

eric.ed.gov har udgivet: School gardening has become increasingly popular as a context for learning in which children construct new knowledge, learn cultural and societal values related to ecological awareness, and develop and practice authentic or real-world skills (Blair, 2009; Bowker & Tearle, 2007). The present research was a longitudinal case study of children’s gardening experiences at a Reggio-inspired preschool in the United States. Eleven children and their teacher were observed over nine days in various activities such as preparing the garden beds, planting, and harvesting. Through sustained participation in a variety of gardening activities, preschoolers engaged in science-rich dialogue utilizing complex and abstract science process skills such as observing, predicting, evaluating, and comparing. Discussion of number-related concepts, spatial orientation, and size estimation and comparison was also recurrent during gardening activities.… Continue Reading

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Eric.ed.gov – Interpretation Awareness of Creativity Mathematics Teacher High School

eric.ed.gov har udgivet: The purposes of this study are: a) to investigate high school math teacher creativity equality, b) to investigate what factors can inhibit their creativity consciousness. The subjects of this study consisted of two high school math teacher who had a different experience academically. The results of the qualitative research show the relationship between creativity and high school math teacher is focused on procedures and not on the product, presents the conception refers to the creativity in the perspective of learners. The observation of classes conducted by researchers for two weeks in a row can be used as an indicator that in teaching mathematics, high school teacher who observed indirectly applying creativity in teaching math though their confidence is lacking. They give an opportunity to him to be… Continue Reading