本研究主要目的在瞭解透過動態評量回饋系統輔助教學對提升國中數學學習成效及數學學習態度的影響。本研究針對新北市某國中八年級兩班學生共38人，每週進行五節，總計為六週之數學教學實驗。本研究採準實驗研究設計，自變項為教學模式，在實驗組以動態評量回饋系統融入學習之數學教學課程而在對照組使用一般傳統教學方法進行數學評量及回饋課程。依變項為「數學學習成效測驗」、「數學學習態度量表」，共變項為八上三次段考平均。以單因子共變數分析與二因子重複量數混合設計變異數分析進行統計分析，研究結果如下: 一、在數學科學習成效方面：以動態評量回饋系統輔助數學教學，能提升數學科學習成效。 二、在數學學習態度方面：在數學學習態度分向度之「外在動機」向度上，實驗組與對照組有顯著差異，證實以動態評量回饋系統輔助數學教學，能提升數學學習態度之外在動機。在數學學習態度整體面向並未有顯著差異，證實以動態評量回饋系統輔助教學並未能提升數學整體學習態度。 三、學生對動態評量回饋系統輔助教學的回饋： 1、學生普遍具有正向、積極的反應。 2、學生願意多花時間來加強數學的學習。 綜上所述，本研究針對結果提出具體建議，以提供教學設計、數學教學及未來相關研究之參考。 / The purpose of this study was to investigate junior high school students’ mathematics learning achievement by using a Dynamic Assessment and Feedback (DAF) system. The overall investigation process is designed as a quasi-experiment, where two classes of eighth-grade junior high school students in New Taipei County were randomly assigned to either the experimental(n=18) or the control groups(n=20). It took totally six weeks, and there were five classes per week to perform the instructional experiments. In the experiments, the independent variables were instructional strategies and the dependent variables were Mathematics Achievement Test and Mathematics Learning Attitude. The measurement instruments include Questionnaire for Mathematics Learning Attitude, Mathematics Achievement Test, and Questionnaire for Students’ Perception of Mathematics Instruction with DAF system. According to the students’ Mathematics Achievement Test, the statistical analysis was performed by one-way ANCOVA. By conducting t-test for the scores of the math learning attitude measurement, the analysis of math learning attitude was carried out by the two-way Mixed ANOVA. After analyzing the data, the findings of this study are summarized below: 1.Mathematics Achievement: The experimental group scored higher in the Mathematics achievement test than the control group did. 2.Mathematics Learning Attitude: No significant interaction between the teaching methods was found in attitude for learning Mathematics. A significant difference was found between the experimental group and the control group in their extrinsic motivation for Mathematics Learning Attitude. 3.The students’ feedback after the (DAF) system mode: I.Most students in the experimental group did enjoy the DAF system. II.Most students were willing to spend more time using the DAF system to practice Mathematics. Finally, based on these findings, this study proposes several suggestions for school administrators, teachers in junior high school math curriculum and future research are also discussed.

Even though the United States (U.S.) spends, on average, more money per student than most Organisation for Economic Co-operation and Development (OECD) countries, it continues to lag behind its international peers in mathematics achievement. This study, which responded to the call for educational reforms that improve the mathematics achievement of U.S. students, aimed to examine the issue of student help-seeking behaviors and teacher instructional practices as they interact to affect student mathematics achievement. The Programme for International Student Assessment (PISA) defines student help-seeking behaviors as the ways in which students have a propensity to depend on the knowledge and intellect of others, including both their peers and teachers, when attempting to solve problems. Because mathematics is perhaps the most difficult school subject, student help-seeking behaviors should be a critical component of mathematics learning and teaching. Unfortunately, the research literature is barren concerning this important educational issue. This study attempted to produce the first wave of empirical evidence and open up an avenue for future research in this less-charted academic field, with the ultimate goal being to use students’ help-seeking behaviors to improve their mathematics achievement. Using the U.S. sample of 15-year-old students from PISA 2012 (the most recent PISA assessment in which the main area of focus was mathematical literacy), this study intended to determine whether students’ help-seeking behaviors play a significant role in their mathematics achievement, whether this relationship varies from school to school, and whether teacher instructional practices contribute to the school-level variation. Due to the multilevel structure of the data, with students being nested within schools, a two-level hierarchical linear model (HLM) was employed in the analysis of the data. Multiple measures of mathematics achievement were used as the dependent variables for separate analyses. Student help-seeking behavior was used as the key student-level independent variable, while three teacher instructional practices were used as the key school-level independent variables. In addition, several student and school background characteristics were used as control variables. The findings from this study indicate that student help-seeking behavior has a statistically significant effect on all measures of student mathematics achievement, even after controlling for various student background characteristics. On the other hand, the study did not find statistically significant evidence that the effects of student help-seeking behavior on any measure of student mathematics achievement vary from school to school. Overall, the issue of student help-seeking behaviors should be considered a worthy topic to pursue in future educational research. From a practical standpoint, since students’ mathematics achievement is positively associated with their help-seeking behaviors, efforts should be made to educate mathematics teachers on how to encourage their students to be more proactive in seeking help in the learning of mathematics.

為瞭解國民中小學學生學習電腦相關行為及現況,本研究以台北市國民中學三年級學生1251人及國小六年級學生1201人為研究對象,經運用電腦經驗調查表.認知需求量表.數學焦慮量表.電腦態度量表及電腦素養測驗卷等研究工具,獲得所需的資料,再以chi-square考驗.皮爾遜積差相關. t-test.典型相關.多元(逐步)迴歸及因徑分析等方法進行統計分析,結果 有以下幾點發現: 一. 國民中小學學生電腦經驗.電腦資源.電腦態度與電腦素養現況方面 1. 國中與國小學生之電腦經驗有顯著的差異存在. 2. 國中與國小學生之電腦資源部份有顯著的差異. 3. 國中與國小男女學生之電腦經驗部份有顯著的差異存在. 4. 國中與國小男女學生之電腦資源部份有顯著的差異存在. 5. 國中學生與國小學生在電腦焦慮與電腦有用性兩電腦態度上有顯著差異. 6. 國民中小學男學生之電腦態度(焦慮與自信)顯著較女生好. 7. 國中學生之電腦素養(軟硬體.應用與影響.操作.倫理)顯著較國中學生佳. 8. 國民中小學男學生之電腦素養(軟硬體.應用與影響.操作)顯著較女生佳. 二. 影響國中小學生電腦態度方面 1. 電腦經驗與國中小學生之電腦態度有顯著之正相關. 2. 電腦資源與國中小學生之電腦態度有顯著之正相關. 3.認知需求與國中小學生之電腦態度有顯著之正相關. 4. 數學焦慮與國中小學生之電腦態度有顯著之相關. 5. 數學成就與國中小學生之電腦態度有顯著之正相關. 6. 認知需求.每星期使用電腦的時間.每星期閱讀電腦書籍及雜誌的.家中電腦週邊設備的情形.自己或與他人共同使用電腦以及是否有電腦學前經驗等六個變項對國中小學生之電腦態度有顯著的預測效果,預測解釋力為32%. 三. 影響國中小學生電腦素養方面 1. 電腦經驗與國中小學生之電腦素養有顯著之正相關. 2. 電腦資源與國中小學生之電腦素養有顯著之正相關. 3. 認知需求與國中小學生之電腦素養有顯著之正相關. 4. 數學焦慮與國中小學生之電腦素養有顯著之相關. 5. 數學成就與國中小學生之電腦素養有顯著之正相關. 6. 每星期閱讀電腦書籍及雜誌的時間.家中電腦週邊設備的情形.自己或與他人共同使用電腦.電腦焦慮.電腦自信以及電腦喜歡等六個變項對國中小學生之電腦素養有顯著的預測效果,預測解釋力約為52%.四.整合模式分析方面1. 國中學生之電腦經驗與電腦資源對其電腦素養之影響,主要是來自直接效果的影響(經驗:57.32%;資源:73.31%), 而認知需求對電腦素養之影響主要是透過電腦態度間接效果的影響(89.06%).2. 電腦經驗與電腦資源對國小學生電腦素養之影響, 來自間接效果的影響約佔(經驗: 67.55%;資源:52.32%),認知需求對國小電腦素養的影響主要是透過電腦態度的間接效果,佔61.29%. With the expansion of computer technology, it is important to prepare individuals for success in our increasingly computerized society. Therefore,factors that impact decisions regarding attitude and literacy of computer should be expored. Several factors should be considered: (1) individual characteristics, (2) computer experience, (3) computer resource, (4) cognitiveneed, (5) mathematics anxiety, and (6) mathematics achievement. The purposes of this study were : (1) To find out the situation of information education in junior secondaryand primary school at present; (2) To find out the situation of the computer attitude and literacy in junior secondary and primary school students at present; (3) To examine the relationship and effects toward computer attitudes and literacy of many factors. 1251 junior secondary and 1201 primary school students were measured by (1)individual characteristics and computer experience questionnare, (2) Cognitive Need Scale , (3) Mathematics Anxiety Scale , (4) Computer Attitude Scale, and(5) Computer Literacy Test. The mainly statistical methods are chi-square, pearson product moment correlation, t-test, canonical correlation analysis, multiple(stepwise) regression analysis and path analysis. The results of the analysis of data indicated the following : (1) There were significant sex and school level differences of attitude and literacy toward computer. Boys were better than girls. Primary school students were better than junior secondary school; (2) There were significant correlations between computer experience, computer resource, cognitive need, mathematics anxiety, mathematics achievement, and computer attitude; (3) There were significant correlations between computer experience, computer resource, cognitive need, mathematics anxiety, mathematics achievement, and computer literacy; (4) Computer experience, computer resourse, cognitive need and computer attitude were significant predictors for computer literacy. Computer attitude was the best significant predictor. Recommendations were made for information education , school , family,educational organization and future additional research , to improve the attitude and literacy toward computer of junior secondary and primary school students.

Thesis (M.Ed.)--North-West University, Potchefstroom Campus, 2009.

Assessment, as an integral part of teaching and learning, gained unprecedented prominence in the curriculum in South Africa post 1994. When the new curriculum was introduced, it was assumed that teachers would effortlessly adapt their teaching and assessment practices, and swiftly implement the curriculum. Fourteen years after the inception of the new curriculum, majority of teachers are still grappling with issues of assessment. Previously, there was an exclusive bias towards summative assessment, which is mainly learning product–orientated and less or no focus on the other assessment typologies such as diagnostic and formative assessment, which are learning process–orientated. Of these typologies, diagnostic assessment is not being used maximally to enhance mathematics learning and inform the nature of the interventions to attend to learners’ needs. The study focused on diagnostic assessment by investigating the impact of a particular model, GIST model, on the learning barriers and learner achievement in mathematics among the grade 9 learners. The investigation of the impact of the GIST model was done through the experimental design in four schools with class sizes of d > 40. Data were collected quantitatively through Study Orientation Questionnaire (SOM) and Mathematics Achievement Test (MAT) as well as qualitatively through interviews, observations and document analysis. The t–test and the analysis of covariance (ANCOVA) revealed that the GIST model improved the learner achievement practically significantly (d = 0.79). However, the GIST model could not mitigate the learning barriers and improve correlations between SOM and MAT. The study, however, does find grounds to conclude that the latter findings can be attributed to teachers’ lacking understanding and implementation of diagnostic assessment, in particular the GIST components. Hence, certain recommendations are posed with regard to the applicable training of teachers in order to empower them to effectively utilize diagnostic assessment and to guide learners in overcoming learning barriers in mathematics. / Thesis (Ph.D. (Mathematics Education))--North-West University, Potchefstroom Campus, 2011.

Thesis (M.Ed.)--North-West University, Potchefstroom Campus, 2009.

Assessment, as an integral part of teaching and learning, gained unprecedented prominence in the curriculum in South Africa post 1994. When the new curriculum was introduced, it was assumed that teachers would effortlessly adapt their teaching and assessment practices, and swiftly implement the curriculum. Fourteen years after the inception of the new curriculum, majority of teachers are still grappling with issues of assessment. Previously, there was an exclusive bias towards summative assessment, which is mainly learning product–orientated and less or no focus on the other assessment typologies such as diagnostic and formative assessment, which are learning process–orientated. Of these typologies, diagnostic assessment is not being used maximally to enhance mathematics learning and inform the nature of the interventions to attend to learners’ needs. The study focused on diagnostic assessment by investigating the impact of a particular model, GIST model, on the learning barriers and learner achievement in mathematics among the grade 9 learners. The investigation of the impact of the GIST model was done through the experimental design in four schools with class sizes of d > 40. Data were collected quantitatively through Study Orientation Questionnaire (SOM) and Mathematics Achievement Test (MAT) as well as qualitatively through interviews, observations and document analysis. The t–test and the analysis of covariance (ANCOVA) revealed that the GIST model improved the learner achievement practically significantly (d = 0.79). However, the GIST model could not mitigate the learning barriers and improve correlations between SOM and MAT. The study, however, does find grounds to conclude that the latter findings can be attributed to teachers’ lacking understanding and implementation of diagnostic assessment, in particular the GIST components. Hence, certain recommendations are posed with regard to the applicable training of teachers in order to empower them to effectively utilize diagnostic assessment and to guide learners in overcoming learning barriers in mathematics. / Thesis (Ph.D. (Mathematics Education))--North-West University, Potchefstroom Campus, 2011.

The purpose of this study is to examine through a phenomenological approach the impact of the instructional practices of three African-American female teachers on the learning outcomes in mathematics of third- to fifth-grade African-American males. The research design of this study utilized a qualitative and quantitative phenomenological model to examine a particular group of teachers and their students at a suburban metro Atlanta school district. The researcher conducted data analysis using a variety of statistical testing to examine the relationships between student learning outcomes and gender, race, teacher perceptions and beliefs, teacher expectations, teacher-student interactions, student behavior, differentiated learning, and parental influences for each grade level. The findings from this research show how both internal and external factors can contribute to student learning outcomes as well as how common themes emerged related to pedagogical practices. Moreover, the results of the study indicate that educators must come to terms with the reality of their teaching practices. The study shows how three African-American teachers successfully promoted effective teaching practices that provided an equitable learning environment that impacted both the quality and quantity of teaching and learning for African-American students in their learning outcomes.

The purpose of this study was to explore solution strategies that can enhance the achievement of low-performing Grade 12 learners in the following mathematical aspects: finding the general term of a quadratic sequence, factorising third degree polynomials, determining the centre and radius of a circle, and calculating the angle between two lines. A convenience sample of twenty-five low-performing Grade 12 learners from a secondary school in Capricorn District of Limpopo Province participated in the study which adopted a repeated-measures research design. Learners were exposed to multiple solution strategies and data were collected using achievement tests. Findings indicated significant differences in learners‟ average scores due to the solution strategies used. In determining the general term of a quadratic sequence, learners‟ scores were significantly higher when they used formula and the table method than with the method of residues and solving simultaneous equations. Synthetic division made learners to achieve better scores than long division and equating coefficients in factorising third degree polynomials. The use of formulae to find the centre and radius of a circle made learners to have better achievement scores than completing the square. In calculating the angle between two lines learners‟ scores were better using formula and the cosine rule than using theorems. It was concluded that exposing low-performing Grade 12 learners to multiple solution strategies would enhance their achievement in the mathematical aspects explored in the study. Some of the solution strategies that made learners to achieve better results were not in the prescribed mathematics textbooks. The study therefore recommends that mathematics teaching should not be textbook-driven and that low-performing Grade 12 learners should not be regarded as beyond redemption. / Mathematics Education / M.Sc. (Mathematics, Science and Technology Education)

This study investigated the relationships between diverse variables and secondary school pupils' Mathematics achievement. It also dealt with the relative contribution of each variable to Mathematics achievement and the significance of differences in Mathematics achievements when pupils' gender and home background as well as teachers' experience, gender, education, in-service education, homework assignment and testing frequency are taken into account. A questionnaire was administered on 163 standard 8 pupils. I The most important findings of this study were: {1) There was a significant relationship between pupil variables and Mathematics achievement. (2) Pupil variables, particularly self-concept, contributed significantly towards the variance in Mathematics achievement. (3) Pupils who wrote tests often (more than once per term) achieved significantly less than students who wrote tests less often / Psychology of Education / M. Ed. (Psychology of Education)