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Eric.ed.gov – A Mathematical Anxiety Scale Instrument for Junior High School Students

eric.ed.gov har udgivet: Anxiety becomes one of the psychological symptoms that can appear in every student while solving mathematics problems. Anxiety cannot be denied to be one factor that affects students’ learning outcomes and interest in mathematics. Therefore, teachers should concern on this matter in order to decide the appropriate learning strategy. However, there is no instrument to measure the level of students’ anxiety towards mathematics, especially for junior high school students. For that reason, this research aims to: (1) design the construct of math anxiety scale instrument; and (2) find out the validity of the instrument. This research used Research and Development method to develop and validate the product which is in the form of a questionnaire. The analysis techniques used V Aiken for content validity, EFA for construct… Continue Reading

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Eric.ed.gov – Mathematical Knowledge for Teaching of Student Teachers and Its Enhancement through a Special Final Course

eric.ed.gov har udgivet: In this article we describe the results of a special final course, at the main teachers’ college in Mexico, which had two related main objectives: one was to find out the Mathematical Knowledge for Teaching (MKT) held by student teachers (ST) at the end of their instructional preparation. The other was to discern ways to improve this knowledge and to document the changes observed. In teachers’ colleges in Mexico, math contents and pedagogical ideas are taught separately, so we aimed to help student teachers to integrate these. The analysis showed that their knowledge is mainly instrumental but that through discussions and reflection about the main issues, they were able fairly quickly to attain a significant improvement in all the contents included. Moreover, they also showed changes on… Continue Reading

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Eric.ed.gov – Provoking Mathematical Thinking: Experiences of Doing Realistic Mathematics Tasks with Adult Numeracy Teachers

eric.ed.gov har udgivet: This action research project looks at what happened when a small group of adult numeracy teachers with widely different experiences of learning and teaching mathematics explored their own informal numeracy practices and undertook a series of collaborative mathematical tasks. Evidence from qualitative data collected during the enquiry suggests that “realistic” tasks can provoke a range of mathematical thinking and learning responses which allow us to identify ways in which “procedural” and “conceptual” thinking is being used, and to track learning journeys through different stages of problem-solving. Although more experienced numeracy teachers could move between and within their “real worlds” and “maths worlds” with intent and ease, others had less integrated experiences, often valuing perceived mathematical powers over their own intuitive powers, with mixed success. Link til kilde

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Eric.ed.gov – Utilizing a Flipped Learning Model to Support Special Educators’ Mathematical Knowledge for Teaching

eric.ed.gov har udgivet: Flipped learning is a popular pedagogical approach in K-12 and in higher education (Graziano, 2017), however minimal research exists on the effectiveness of flipped learning in special education teacher preparation courses. Special education teacher candidates enrolled in five sections of a special education math methods course engaged with interactive, flipped “learning lessons” prior to class. During class, they participated in extension activities and lesson planning. The researchers utilized mixed methods to evaluate the impact of performance on and engagement with these learning lessons and found positive predictive relationships with student achievement on all individual summative assignments. Nearly all students agreed flipped learning was useful in helping them meet the course outcomes. Most students specifically credited the flipped lessons as a facilitator of their learning because they allowed… Continue Reading

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Eric.ed.gov – Finding the Maths: Helping Students Connect Their Mathematical Knowledge to Other Contexts

eric.ed.gov har udgivet: The plethora of data that confronts teachers on a daily basis requires that they know more than simply being able to calculate. It demands that they understand the context in which the mathematical ideas are embedded and what those ideas are telling them in relation to that context. Also, it necessitates that they are prepared to question how data, and the associated claims, are presented. For primary teachers, the implication is that they must be prepared to help their students to develop these skills. The “Finding the Maths” strategy described in this article has been shown to be successful in helping students achieve this outcome. The aim of using this strategy is to encourage students to develop the three types of thinking referred to in the numeracy… Continue Reading

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Eric.ed.gov – Common Errors and Misconceptions in Mathematical Proving by Education Undergraduates

eric.ed.gov har udgivet: Ninety-seven education students majoring or minoring in mathematics had their math homework examined in a Number Theory or Abstract Algebra course. Each student’s homework was observed for the purpose of identifying common errors and misconceptions when writing mathematical proofs. The results showed that students collectively made four recurring errors: assuming the conclusion in order to prove the conclusion, proving general statements using specific examples, not proving both conditions in a biconditional statement, and misusing definitions. In the same courses taken subsequently by 91 new students, we informed them about these common errors prior to assigning their homework to see how the students’ proving processes would differ. The results showed that more exercises were left blank with comments such as “I’m not sure how to start the proof”,… Continue Reading

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Eric.ed.gov – What Aspects of Mathematical Literacy Should Teachers Focus on from the Student’s Point of View?

eric.ed.gov har udgivet: This study employed latent class cluster analysis to explore students’ perceptions of what aspects of mathematical literacy, composed of mathematics competencies and attitudes, teachers should focus on. The sample included 1,219 Taiwanese senior high school students and 59 mathematics teachers. Three profiles were identified for mathematics competence, which were characterized as comprehensive, test-oriented, and limited thought-oriented. Regarding mathematics attitudes and mathematics learning attitudes, three profiles were identified and characterized as: broad, math-interior oriented, and mind-focused. Students and teachers differed in their perceptions on the importance of some aspects of mathematical literacy. [For the complete proceedings, see ED597799.] Link til kilde

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tandfonline.com – “Falling into disuse”: the rise and fall of Froebelian mathematical folding within British kindergartens

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT This article aims to present the transformations as well as the decline of the Froebelian occupation of paper folding that took place in Great Britain between 1851 and the 1920s. Froebel’s original intention was to transmit implicit mathematical knowledge to be learnt by means of folding several shapes. In contrast to his account of paper folding, which presented it as a way of understanding several abstract mathematical concepts, the manner in which this occupation was re-conceptualised in Great Britain tells a different story. After surveying the changes in the British conception of Froebelian ideas in the second half of the nineteenth century through the various published manuals, I then explore the period between 1892 – the opening of… Continue Reading

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tandfonline.com – Tablets instead of paper-based tests for young children? Comparability between paper and tablet versions of the mathematical Heidelberger Rechen Test 1-4

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Tablets can be used to facilitate systematic testing of academic skills. Yet, when using validated paper tests on tablet, comparability between the mediums must be established. Comparability between a tablet and a paper version of a basic math skills test (HRT: Heidelberger Rechen Test 1–4) was investigated. Five samples with second and third grade students participated. The associations between the tablet and paper version of HRT showed that these modes of administration were comparable for three arithmetic scales, but unacceptable for a pictorial counting scale. Scores were lower on tablet. Test-retest reliability for arithmetic scales on tablet was satisfactory, but was inferior for a low-performing sample. The overall convergent validity was satisfactory. No effect of test administrator was… Continue Reading

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Eric.ed.gov – Prompting Mathematical Knowledge for Teaching through Parent-Teacher Learning Communities

eric.ed.gov har udgivet: Parents, K-8 teachers, and 4th-8th grade children participated as equals in math-focused learning communities through the Math and Parent Partners (MAPPS) program. Pre/post testing and qualitative interviews revealed that the learning communities served as a platform for improvement in mathematical knowledge for teaching of participating teachers. Moreover, teachers learned about parents’ knowledge and strategies, a construct analogous to Knowledge of Content and Students that we describe as “Knowledge of Content and Parents.” [For the complete proceedings, see ED584829.] Link til kilde