abstract: This study investigated the link between the cognitive clusters from the Woodcock–Johnson III Tests of Cognitive Ability (WJ III COG) and Broad Math, Math Calculation Skills, and Math Reasoning clusters of the Woodcock–Johnson III Tests of Achievement (WJ III ACH) using data collected over seven years by a large elementary school district in the Southwest. The students in this study were all diagnosed with math learning disabilities. Multiple regression analyses were used to predict performance on the Broad Math, Math Calculation Skills, and Math Reasoning clusters from the WJ III ACH. Fluid Reasoning (Gf), Comprehension–Knowledge (Gc), Short–Term Memory (Gsm), and Long–term Retrieval (Glr) demonstrated strong relations with Broad Math and moderate relations with Math Calculation Skills. Auditory Processing (Ga) and Processing Speed (Gs) demonstrated moderate relations with Broad Math and Math Calculation Skills. Visual–Spatial Thinking (Gv) and Processing Speed (Gs) demonstrated moderate to strong relations with the mathematics clusters. The results indicate that the specific cognitive abilities of students with math learning disabilities may differ from their peers. / Dissertation/Thesis / M.A. Educational Psychology 2011

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Made available in DSpace on 2016-07-27T13:54:07Z (GMT). No. of bitstreams: 1 FERNANDA CHAVES CAVALCANTE SOARES.pdf: 1317394 bytes, checksum: de28c81471d8e7016d8dc0224ebcfec8 (MD5) Previous issue date: 2007-09-14 / The following project integrates into the Research Group of Historic-Cultural Theory and pedagogical activities of the activities of the Education Theory and Pedagogical Process Research Center from the post-graduation program of the Catholic University of Goiás. The research has as object of work the teaching of mathematics for the elementary stages. It came out from the thought that the difficulties of learning mathematics are due to a variety of factors, especially the bad standard of teaching in use nowadays. Therefore, the main point of the research is: How can the teaching of math be developed so that it assures effective learning? The project is based on the teory created V. V. Davydov. The research has as main aim, elaborate and improve the stages of the learning process, so that we will have an easy and effective learning of a math subject. The specified goals were: Verify the learning quality of the students, identify the advantages and possible difficulties with the use of this methodology of teaching. The research consisted of an experience done with elementaryschool students of a municipal school in Goiânia. Data was collected by observations and research done on school documents. The subject of the experience was to divide numbers. The difficulties found during the process were due to the bad level of learning and cognitive development of the pupils in other areas like reading, writing, and text interpretation. The principal contribution of this project consisted of demonstrating that, despite the difficulties and limitations in many areas of students school-life, it is possible to use methods based on the Development-teaching and cause changes that lead students to better results on math learning. / O presente trabalho integra o Grupo de Pesquisa Teoria Histórico-Cultural e práticas pedagógicas da Linha de Pesquisa Teorias da Educação e Processos Pedagógicos, do Programa de Pós-graduação Stricto Sensu da Universidade Católica de Goiás. Nesta investigação teve-se como objeto o ensino e a aprendizagem de matemática nas séries iniciais. Partiu-se do pressuposto de que as dificuldades de aprendizagem de matemática resultam de uma multiplicidade de fatores, sendo um deles a insuficiência do modelo de ensino vigente para causar impacto positivo na qualidade da aprendizagem dos alunos. Assim, a questão central da pesquisa foi a seguinte: como organizar o ensino de matemática para que ocorra melhor aprendizagem dos alunos? Buscou-se então na Teoria do Ensino Desenvolvimental formulada por V. V. Davydov um aporte para tentar responder a esta questão. Nesta pesquisa destacou-se como objetivo geral propor e implementar as etapas do ensino desenvolvimental para a aprendizagem de um objeto de conhecimento da matemática. Os objetivos específicos foram assim definidos: verificar a qualidade da aprendizagem dos alunos em relação ao conceito nuclear do objeto estudado; identificar as vantagens e possíveis dificuldades no uso da metodologia de ensino proposta por Davydov. A pesquisa, de abordagem qualitativa, consistiu num experimento didático realizado em uma turma do Ciclo 2 de uma Escola Municipal de Goiânia. Os dados foram coletados por meio de observação direta não-participante, pesquisa em documentos da escola e experimento didático. O conteúdo específico do experimento didático foi a divisão de números naturais. Foram elaborados, organizados e realizados procedimentos de ensino visando à aprendizagem desse conteúdo. A análise dos dados evidenciou os seguintes resultados: - por meio desses procedimentos, quase totalidade dos alunos conseguiu alcançar a aprendizagem do conceito ensinado divisão de números naturais , pela formação do pensamento teórico; - as dificuldades na realização do ensino desenvolvimental foram decorrentes do baixo nível de aprendizagem e de desenvolvimento cognitivo dos alunos em outros conteúdos, tais como, leitura, escrita e interpretação de texto, além da fragilidade constatada em relação a habilidades e conteúdos específicos de matemática. A principal contribuição desta pesquisa consistiu em mostrar que, apesar das dificuldades e limitações de diversas ordens presentes na escola e na vida escolar dos alunos, é possível utilizar os procedimentos baseados na teoria do ensino desenvolvimental e provocar mudanças que conduzem os alunos a melhores resultados na aprendizagem de matemática.

Submitted by Jorge Silva (jorgelmsilva@ufrrj.br) on 2018-02-07T18:03:12Z No. of bitstreams: 1 2016 - Manuel Ricardo dos Santos Rabelo.pdf: 1301532 bytes, checksum: 9e93dab4c197d7e8c11715a4ea105991 (MD5) / Made available in DSpace on 2018-02-07T18:03:12Z (GMT). No. of bitstreams: 1 2016 - Manuel Ricardo dos Santos Rabelo.pdf: 1301532 bytes, checksum: 9e93dab4c197d7e8c11715a4ea105991 (MD5) Previous issue date: 2016-10-17 / This research developed in PPGEA / UFRRJ as dissertation, we made a reflection on the teaching and learning of school mathematics emphasizing some teaching experiences that value abstraction, memorization, with content outside the reality of students, and in this context we enter the vocational education field in Brazil this perspective, think of as research problem: what strategies can be used for the teaching and learning of school mathematics contribute to the improvement of knowledge of the field professional? To contribute to this problem, identify the main difficulties encountered in the teaching and school mathematics learning in the professional technical course and research some methods in which these processes can significantly occur. We work with two groups of technical progress in agriculture, a control and the other experimental, that this work will treat as a field class to accomplish comparisons. We applied to two classes a pre-test to identify some difficulties in relation to the geometry of content and arithmetic, a questionnaire diagnosis and post-test. We also point may need to know what knowledge the students had about multiplication and division. The diagnostic questionnaire allowed us to check, missing school students, a considerable amount worked and some considered the school mathematics teaching offered in decontextualized and fragmented way. We performed for the two lecture classes with the help of video lesson. Then and only for the country group proposed a field of activity in which they measured the dimensions of the ponds and flowerbeds of the institute, they found the area available for planting as well as the outline of the region and measured the spacing between the vegetables planted in the flower bed . This activity aroused enough student interest and questions. After this activity, we applied one after posttest results of a questionnaire. We verified that followed the lectures of field classes improve the students' knowledge. We emphasize that we can make a difference to improve school mathematics teaching, with dynamic lectures and contextualized when accompanied by practical classes held outside the classroom context. We alert for the importance to the technical experience school mathematics in professional activities making it significant. / Nesta pesquisa desenvolvida no PPGEA/UFRRJ, como disserta??o de mestrado, fizemos uma reflex?o sobre o ensino e a aprendizagem da matem?tica escolar enfatizando algumas experi?ncias docentes que valorizam a abstra??o, a memoriza??o, com conte?dos fora da realidade dos alunos, e neste contexto inserimos o ensino profissional do campo, no Brasil Nesta perspectiva, concebemos como problema de pesquisa: quais estrat?gias podem ser usadas para que o ensino e a aprendizagem da matem?tica escolar contribuam para a melhoria do conhecimento do profissional do campo? Para contribuir com este problema, identificamos as principais dificuldades encontradas nos processos de ensino e de aprendizagem de matem?tica escolar no curso t?cnico profissional e pesquisamos algumas metodologias em que estes processos possam ocorrer de forma significativa. Trabalhamos com duas turmas do curso t?cnico em agropecu?ria, uma de controle e outra experimental, que neste trabalho trataremos como turma de campo, para realizarmos compara??es. Aplicamos ?s duas turmas um pr?-teste, para identificar algumas dificuldades em rela??o aos conte?dos de geometria e aritm?tica, um question?rio diagn?stico e um p?s-teste. Destacamos, ainda, ser necess?rio saber quais conhecimentos os alunos tinham sobre multiplica??o e divis?o. O question?rio diagn?stico nos permitiu verificar, alunos ausentes da escola, uma quantidade consider?vel trabalhava e alguns consideravam o ensino da matem?tica escolar ofertado de forma descontextualizado e fragmentado. Realizamos para as duas turmas aula te?rica com aux?lio de videoaula. Em seguida e somente para a turma de campo propusemos uma atividade de campo, na qual eles mediram as dimens?es dos viveiros e canteiros do instituto, acharam a ?rea dispon?vel para plantio assim como o contorno da regi?o e mediram o espa?amento entre as hortali?as plantadas no canteiro. Esta atividade despertou bastante o interesse dos alunos e questionamentos. Ap?s esta atividade, aplicamos um p?s-teste seguido de um question?rio de resultados. Verificamos que aulas te?ricas seguidas de aulas de campo melhoram o conhecimento dos alunos. Ressaltamos que, podemos fazer diferen?a para melhorar o ensino de matem?tica escolar, com aulas te?ricas din?micas e contextualizadas quando acompanhada da aula pr?tica, realizada fora do contexto da sala de aula. Alertamos para a import?ncia de um t?cnico vivenciar a matem?tica escolar em atividades profissionais tornando-a significativa.

為達成「精熟學習」的教與學過程中強調的個別化教學、學生學習的回饋、校正學生學習錯誤等高效能的教學理想。本研究自行發展一套數位化診斷系統，在不改變學校政策、班級作息、教室管理實施情況下，對準備參加科大入學測驗高工三年級的學生，在考前六週進行數學科總複習的「精熟學習配合數位化診斷」實驗教學。經由學生的作答反應，本診斷系統完成以下功能： (1)能快速的篩選出優良試題，並提供試題的難度、鑑別度、答對率與評鑑試題的品質。 (2)能診斷出個別學生與試題的差異性，並完成試題卷的信度、效度評鑑與S-P分析表。 (3)能提供完整的學習成就遷移記錄，並可歸類出學生學習潛能與整體學習表現。 (4)能彙整出學生學習成效與具體教學建議。 教師藉診斷系統所提供的資訊，對學生進行個別化校正或充實教學，期以達成精熟學習的教學理想。並在實驗教學後分析學生學習回饋單，大多數學生對實驗教學法持正面態度，且自認學習態度更積極，並建議若能提早實施精熟學習配合數位化診斷教學，應會有更好成績表現。 本研究並探討「實驗教學」的實驗A組學生，分別對「不同科別」的實驗B組學生與對「傳統教學」的控制C組學生的數學學習態度、學習成就、學習成就絕對均差的差異性，經單因子共變數分析，排除前測影響後，具體結論如下： (1)實驗A、B組與控制C組學生在數學學習態度後測得分並無明顯差異。 (2)實驗A組與控制C組在數學學習成就後測成績有明顯差異，且實驗A組分數明顯高於控制C組。 (3)不同科別實驗組的A組電機類與B組機械類學生，在數學學習成就後測成績有明顯差異，且電機類分數明顯高於機械類，但機械類排除未完成實驗的學生後，則不同科別的實驗A組、實驗B組，在數學學習成就後測成績無明顯差異。 (4)實驗A組與控制C組學生在數學學習成就後測成績的絕對均差有明顯差異，且實驗A組絕對均差小於控制C組。 最後為使實驗教學能更順利進行，建議教學前先營造愉快與舒適教學環境與良好的師生互動情誼再實施，這將會是實驗教學成功的關鍵 / Mastery Learning Strategy is a highly effective teaching method, emphasizing the importance of individualized tutoring, student feedback and learning error correction. In this study, a self-devised computerized diagnostic system was developed for the third-year vocational high school students who were preparing for the technological university entrance examination. An experimental teaching method using Mastery Learning Strategy with computerized diagnostic system was given to the aforementioned students as a math review lesson six weeks before the entrance examination, following the original school policy, class schedule or class management. From test responses, the diagnostic system achieved the following: (1)Quick selecting of good quality test items. It also evaluates the test items and provides the difficulty, discrimination, and correction rates of them. (2)Individualized diagnosis of each student vs. test items. It also completes the reliability, validity and S-P charts of the test. (3)Offering a comprehensive record of the learning process. It also analyzes the learning process of the students and sorts out their learning potential. (4)Analyzing students’ learning effects and coming up with teaching suggestions. In this experiment, the data gained from the diagnosis were used to provide each student with individualized instruction or error correction with the hope of attaining the goals of Mastery Learning. The analysis of the students’ feedback after the experimental teaching method showed that most students thought positively of the experiment, admitting that they developed a more aggressive learning attitude, and suggested that this computerized diagnostic system, had it been implemented earlier, would have helped them achieve even better grades. The students in this study consisted of three groups. Group A and B were both experimental groups except that group A were students from electrical engineering department while group B were students from mechanical engineering department. Group C was the control group receiving only conventional teaching method. Group A was compared with group B and group C respectively in terms of differences in math-learning attitude, math-learning achievement, and in the absolute mean deviation of learning achievement. By means of one-way analysis of covariance, with pre-test effects eliminated, the conclusions were as follows: (1)None of the groups exhibited significant grade differences on the math-learning attitude post-test. (2)Group A scored significantly higher on the math-learning achievement post-test than did Group C, the control group. (3)Group A of electrical engineering students scored significantly higher on the math-learning achievement post-test than did Group B of mechanical engineering students. However, if the grades of the Group B students who didn’t complete the experiment were unaccounted, no grade difference was noticeable on the math-learning achievement post-test between Group A and Group B. (4)Group A, the experimental group, had significantly lower absolute mean deviation on the math-learning achievement post-test than did Group C, the control group. Finally, it was suggested that creating a comfortable environment for teaching and learning as well as an advance establishment of a good teacher-student rapport are the key to a smooth-going and successful experimental teaching method.

This study explores the relationship between an Affective Instructional Design (AID), children’s attitudes toward math, and math learning. Participants included 15 kindergarten children at a university K-12 laboratory school located in East Tennessee. This quasi-experimental study employed a pretest-intervention (AID)-posttest design. Data, including pretest/posttest attitude surveys, and baseline and intervention non-participant video observations of math learning and math attitudes, during 13 math lessons were coded and analyzed. As hypothesized, a significant positive correlation (r = 0.936, p = 0.000) was found between attitude and math learning. Additionally significant differences were found between the baseline (pre-intervention) mean score and the final intervention lesson for both math attitude, t(14) = -12.39, p = 0.008, and math learning, t(14) = -8.40, p = 0.002.These findings suggest AID could be one route to supporting educators in establishing quality learning environments that promote positive attitudes and meaningful learning in mathematics.

本研究主要目的是以文獻分析、問卷調查、潛在成長模式等方法探討數學焦慮、數學學習動機與數學學業成就等三個變項的縱貫模式及因果結構模式。根據五百二十九位國三學生所填的五波調查問卷資料，進行兩部分研究。 研究一乃在估算數學焦慮、數學學習動機、數學學業成就的潛在改變量模式及 數學焦慮、數學學習動機、數學學業成就兩兩之間的因果結構模式。結果發現1.數學焦慮縱貫模式上，符合「焦慮遞增理論」；2.數學學習動機縱貫模式上，符合「動機先升後降理論」；3.數學學業成就縱貫模式上，符合「成就先升後降理論」； 4.數學焦慮與數學學習動機因果結構模式上，符合「動機焦慮交互激發效果理論」；5.數學焦慮與數學學業成就因果結構模式上，符合「焦慮成就交互抑制效果理論」；6.數學學習動機與數學學業成就因果結構模式上，符合「動機成就交互激發效果理論」。 研究二則依據研究一二變項因果結構統計驗證成立的三套理論，建構出三變項因果結構六模式，並驗證有無中介效果。結果顯示，1.前焦慮、中動機、後學業成就因果模式上，符合「動機未完全中介前焦慮、後學業成就理論」；2. 前動機、中焦慮、後學業成就因果模式上，符合「焦慮未完全中介前動機、後學業成就理論」；3.前焦慮、中學業成就、後動機因果模式上，符合「學業成就未完全中介前焦慮、後動機理論」；4.前學業成就、中焦慮、後動機因果模式上，符合「焦慮未完全中介前學業成就、後動機理論」；5. 前動機、中學業成就、後焦慮因果模式上，符合「學業成就未完全中介前動機、後焦慮理論」；6.前學業成就、中動機、後焦慮因果模式上，符合「動機未完全中介前學業成就、後焦慮理論」。 除了上述結果外，研究也對數學焦慮、數學學習動機與數學學業成就縱貫模式的趨勢與時間效果量，國三學生轉折點界定，數學焦慮、數學學習動機與數學學業成就適當模式產出及個別中介角色剖析有深入探討。 / This study, using literature review, questionnaire survey, and latent growth model, investigated the longitudinal model and causal model among math anxiety, learning motivation, and academic achievement. After collecting 529 students with 5 waves, I conducted two studies. The purpose of study 1 was to estimate the latent change model and the causal model of math anxiety, learning motivation, and academic achievement. Results showed that 1. The anxiety increasing theory was supported by the math anxiety longitudinal model. 2. The first increasing then decreasing theory was supported by the math learning motivation longitudinal model. 3. The first increasing then decreasing theory was supported by the math academic achievement longitudinal model. 4. The reciprocal activated effect theory was supported by the math anxiety and learning motivation causal models. 5. The reciprocal inhibitive effect theory was supported by the math anxiety and academic achievement causal models. 6. The reciprocal activated effect theory was supported by the math learning motivation and academic achievement causal models. According to the final three theories stated above and proved by study 1, I constructed the six causal models in order to verify the mediated effects of math anxiety, math learning motivation, and math academic achievement. I found that 1. Math learning motivation did not mediate fully the effects on early math anxiety and late math academic achievement. 2. Math anxiety did not mediate fully the effects on early math learning motivation and late math academic achievement. 3. Math academic achievement did not mediate fully the effects on early math anxiety and late math learning motivation. 4. Math anxiety did not mediate fully the effects on early math academic achievement and late math learning motivation. 5. Math academic achievement did not mediate fully the effects on early math learning motivation math and late math anxiety. 6. Math learning motivation did not mediate fully the effects on early math academic achievement and late math anxiety. In addition, the research also explored the longitudinal model trend and effect, the key period for 3rd year junior high school students, the proper models, and the mediated roles among math anxiety, learning motivation, and academic achievement.

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