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Years of Experience (All Teachers) – 2008
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TeachingSingaporeMath 2013 JBadger
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Years of Experience (All Teachers) – 2008
1-3 27% 4-6 16% 7-9 15% 10-12 11% Over 12 31% Years of Experience (All Teachers) – 2009 1-3 24% 4-6 15% 7-9 14% 10-12 11% Over 12 36% Series1, 1-3, 16.6%, 17% Series1, 4-6, 18.5%, 19% Series1, 7-9, 11.2%, 11% Series1, 10-12, 10.2%, 10% Series1, Over 12, 43.4%, 43% Years of Experience (All Teachers) – 2010 GATEways to Teacher Education A journal of the Georgia Association of Teacher Educators VOLUME 14, ISSUE 1 PAGE 29 implementation as essential for their understanding and instruction of the new curriculum. Findings from the survey data revealed that the Singapore Math curriculum did not significantly impact elementary educators’ knowledge of mathematics. While lingering questions remain from the survey data concerning elementary teachers’ reported low levels of mathematical understanding, conceptualizing elementary teachers’ receptive attitudes toward mathematics through O’Donnell’s curriculum profile and curriculum- in-use indicate the potential for fidelity of implementation that was moderately strong. Teacher Journals Teachers’ journals, which were submitted each quarter of the school year, reflected benefits and challenges associated with delivering the new mathematics curriculum. Coding of the journal data identified a number of themes. In the first year of implementation, entries by teachers identified the utility of manipulatives, place-value disks, and number bonds as effective tools to communicate mathematical concepts, especially for learners who required more time to process mathematical ideas. The use of manipulatives occupied a central role in both the instruction and learning of a mathematical concept. Reflecting after a taught class or unit of instruction, teachers noted that interactive, hands-on activities were important for facilitating students’ learning of demanding mathematical concepts, and that the same engagement stimulated the learners’ interest and cultivated their interpersonal social skills. Elementary educators also valued the curriculum’s problems and questions that connected mathematical concepts to real-life examples. While elementary teachers claimed that mathematical problems and discovery activities instilled more engagement and interest in students, others expressed a desire for an even greater number of real-life examples in the curriculum and struggled to identify strategies to accommodate students with special needs. Still other educators identified a poor alignment of the curriculum, at times, with state standards. During the first year of implementation, educators expressed frustration that the county’s pacing guide curtailed instruction and reduced some students’ deeper understanding of a concept. Elementary educators expressed a desire for a more flexible pacing guide to allow for longer instruction time to facilitate learning in all students. A second theme that emerged from the journal data was the teachers’ observations of a vocabulary-rich curriculum that also contained challenging assessment instruments. In schools with a majority of English language learners, elementary educators reflected on strategies to effectively differentiate the new curriculum not only for English language learners but also advanced students who “got bored easily once the concept was clear,” wrote one teacher. Teachers noted that additional instruction was needed to describe a term or phrase found to be confusing for students. One example was the difference between the “value of the digit” and the “place of the digit” in the Grade 4 curriculum. These and other content-specific nomenclatures were particularly troublesome for English language learners. One teacher claimed that if students had been exposed to the Singapore Math vocabulary and bar-modeling strategies in Kindergarten, the terminology might be less confusing, thereby providing more time for teachers in upper grade levels to scaffold conceptual problems. A third theme that arose from the journal data was an observation that concrete exercises progressed too quickly to pictorial examples, and the same rapid progression outlined in the student textbook and teacher guide occurred when presenting material in pictorial representations that moved to complicated abstract concepts. In response, teachers claimed they supplemented the curriculum with additional problems at each stage to facilitate students’ learning. A related challenge was the observation that the Singapore Math assessments tended to “add questions containing problems that have never been taught,” according to one teacher. The inclusion of such problems may reflect the focus on problem solving and applying concepts, challenging learners to be creative and discover solutions by using and extending what students learned in a unit rather GATEways to Teacher Education A journal of the Georgia Association of Teacher Educators VOLUME 14, ISSUE 1 PAGE 30 than memorizing specific algorithms to be applied to all questions. While some issues in the second year overlapped with the first, journal narratives in the second year were more nuanced, reflecting, in part, teachers’ growing familiarity with the curriculum and students’ knowledge of Singapore Math from the previous year of study. Lessons and activities that integrated manipulatives, number bonds, and number disks continued to be perceived as effective mediums to develop students’ conceptual understanding of mathematics. Teachers valued problems that connected concepts to real-life examples for instilling student interest and fostering discovery and experiential learning. The outcomes from adopting these approaches positively impacted student learning and confidence, as noted by a Grade 2 teacher: “My favorite part of this unit is when I see those struggling students look at me and say, ‘Look, Miss. I did it right!’” In the second year, educators claimed they had higher expectations of students and could plan lessons more effectively. The teachers’ written narratives revealed a perspective of the new curriculum that was perceived by some as being poorly aligned with state standards, presenting linguistic challenges for English language learners, and using assessment instruments that did not reflect a stronger connection to a taught unit. Alongside these observations, however, were equally detailed observations underscoring students’ interest in mathematics and the rich source of interactive activities. Teachers highlighted the value of number bonds, place value, and manipulatives that fostered students’ deeper understanding of mathematics. As reflected through journal data, teachers’ implementation of the new mathematics curriculum conceptualized through O’Donnell’s concepts of curriculum profile and adaptation intimated a marginally strong fidelity. Download 272.23 Kb. Do'stlaringiz bilan baham: |
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