Transforming Mathematics Learning for Students and Teachers with Digital Technologies

Силия Хойлс, Ричардс Нос - Това представяне е вдъхновено от делото на Сиймър Пепърт и много други от целия свят (включително Джим Капут и наши колеги от България), които са работили и работят в духа на конструкционизма и с които сме имали щастието да си сътрудничим в областта на математическото образование и дигиталните технологии в течение на десетилетия.

Towards New Teaching in Mathematics How to Realize Inquiry Based and Problem Oriented Mathematics Lessons?

Дагмар Рааб Математиката е вълнуваща и забавна. Можем ли да убедим учениците, че това може да стане действителност. Задачите са най-важните инструменти за учителите по математика, когато планират уроците си. Планът трябва да съдържа идеи как да се очертае и как да се жалонира пътят, по който учениците ще стигнат до решението на дадена задача. Учителите не трябва да очакват от учениците си просто да кажат кой е отговорът на задачата, а да ги увлекат в процеса на решаване с подходящи въпроси. Ролята на учителя е да помогне на учениците • да бъдат активни и резултатни при решаването на задачи; • самите те да поставят задачи; • да модифицират задачи; • да откриват закономерности; • да изготвят стратегии за решаване на задачи; • да откриват и изследват различни начини за решаване на задачи; • да намират смислена връзка между математическите си знания и проблеми от ежедневието. В доклада са представени избрани и вече експериментирани примери за това как учители и ученици могат да намерят подходящ път към нов тип преживявания в преподаването и изучаването на училищната математика.

Institutional Self study for the Liaison Committee on Medical Education

Draft of the College of Medicine's Institutional Self-Study for the LCME. Includes an overview of the College of Medicine's history, development, and vision, as well as details regarding the organization of the college, educational programs and resources, and future goals.

Recreational Foodservice management: A Delphi study of needed competencies

The purpose of this study was to identify the needed competencies of a Recreational Foodservice manager. A three round Delphi method of iteration was used. Delphi is a research method that utilizes iterating rounds to elicit the opinion of a panel of experts regarding a specific subject.^ A nominating committee of 22 industry leaders was consulted to establish a panel of 40 management experts, of which 35 (87.5%) completed all three rounds of the Delphi study.^ Round One of the study identified 17 specific job functions of a Recreational Foodservice manager. The researcher prepared an instrument detailing 60 competencies derived from an analysis of Round One results and distributed it as a Round Two instrument requesting the panel opinion regarding the relative importance of each listed competency on a five point Likert scale.^ The results of Round Two were tabulated and analyzed to ascertain areas of consensus. A Round Three instrument was prepared advising panelists of all areas of consensus, their dissenting opinions, if any, and a request for a revised opinion.^ A final report was prepared listing the 60 competencies and the panel opinion that eight were of highest priority, 29 of above average priority, and 23 of average priority. No item received two other available ratings, below average priority and lowest priority.^ The implications of these findings suggest necessary areas of curriculum development and industry management development to implement professionalism for Recreational Foodservice managers. ^

The effect of direct instruction in story grammar using deep processing on the reading and writing achievement of second-graders

The purpose of this study was to investigate the effects of direct instruction in story grammar on the reading and writing achievement of second graders. Three aspects of story grammar (character, setting, and plot) were taught with direct instruction using the concept development technique of deep processing. Deep processing which included (a) visualization (the drawing of pictures), (b) verbalization (the writing of sentences), (c) the attachment of physical sensations, and (d) the attachment of emotions to concepts was used to help students make mental connections necessary for recall and application of character, setting, and plot when constructing meaning in reading and writing.^ Four existing classrooms consisting of seventy-seven second-grade students were randomly assigned to two treatments, experimental and comparison. Both groups were pretested and posttested for reading achievement using the Gates-MacGinitie Reading Tests. Pretest and posttest writing samples were collected and evaluated. Writing achievement was measured using (a) a primary trait scoring scale (an adapted version of the Glazer Narrative Composition Scale) and (b) an holistic scoring scale by R. J. Pritchard. ANCOVAs were performed on the posttests adjusted for the pretests to determine whether or not the methods differed. There was no significant improvement in reading after the eleven-day experimental period for either group; nor did the two groups differ. There was significant improvement in writing for the experimental group over the comparison group. Pretreatment and posttreatment interviews were selectively collected to evaluate qualitatively if the students were able to identify and manipulate elements of story grammar and to determine patterns in metacognitive processing. Interviews provided evidence that most students in the experimental group gained while most students in the comparison group did not gain in their ability to manipulate, with understanding, the concepts of character, setting, and plot. ^

The effect of the use of computer assisted instruction (CAI) on attitudes and computational scores of developmental mathematics students at two inner city schools with predominantly Black enrollment

This study examined the effects of computer assisted instruction (CAI) 1 hour per week for 18 weeks on changes in computational scores and attitudes of developmental mathematics students at schools with predominantly Black enrollment. Comparisons were made between students using CAI with differing software--PLATO, CSR or both together--and students using traditional instruction (TI) only.^ This study was conducted in the Dade County Public School System from February through June 1991, at two senior high schools. The dependent variables, the State Student Assessment Test (SSAT), and the School Subjects Attitude Scales (SSAS), measured students' computational scores and attitudes toward mathematics in 3 categories: interest, usefulness, and difficulty, respectively.^ Univariate analyses of variance were performed on the least squares mean differences from pretest to posttest for testing main effects and interactions. A t-test measured significant main effects and interactions. Results were interpreted at the.01 level of significance.^ Null hypotheses 1, 2, and 3 compared versions of CAI with the control group, for changes in mathematical computation scores measured with the SSAT. It could not be concluded that changes in standardized mathematics test scores of students using CAI with differing software 1 hour per week for 18 class hours combined with TI were significantly higher than changes in test scores for students receiving TI only.^ Null hypotheses 4, 5, and 6 tested the effects of CAI for attitudes toward mathematics for experimental groups against control groups measured with the SSAS. Changes in attitudes toward mathematics of students using CAI with differing software 1 hour per week for 18 class hours combined with TI were not significantly higher than attitude changes for students receiving TI only.^ Teacher effect on students' computational scores was a more influential variable than CAI. No interaction was found between gender and learning method on standardized mathematics test scores (null hypothesis 7). ^

Instructional change through collaboration and reflection

The purpose of this study was to investigate the effectiveness of the Facilitator-Collaborative-Reflective Model, a strategic plan for changing teachers' practices and beliefs, on a selected group of middle school teachers. This model of staff development training was based on Corey's (1953) Cooperative-Action-Research Model and Anders and Richardson (1994) Collaborative-Reflective Model. It supports the notion that earning a teachers' commitment to change by focusing on collaboration, reflection and the normative-re-educative process aids in altering teachers' beliefs and practices especially crucial to the change process. The year-long training provided for reflection, inquiry, and learning that was useful to teachers as they pursued their goals with their students. The lead teacher, as a change agent and transformational leader, assisted in this commitment to change by improving the teachers' self-concepts as they slowly changed. The collaborative and receptive environment of the staff development fostered acceptance and stimulation of ideas.^ Given the collaborative nature of the change process, qualitative research methods were used in the investigation. The research process was based on Stufflebeam's Context, Input, Process and Product (CIPP) Evaluation Model (Madaus, Scriven & Stufflebeam, 1983). This allowed for all three factors of the staff development model to be evaluated. The case studies and focus group were effective in discerning any actual change in practices or beliefs.^ The findings of the qualitative evaluation, consisting of a baseline survey, case studies, questionnaire and modified focus group interviews, concluded that all of the teachers were strongly influenced by the intervention model which was the subject of this study. From this evaluation, three distinct indicators were looked at to determine if any change in the teachers' practices and beliefs emerged: (1) change in practice and belief, (2) reflective feedback and (3) collaborative reflection. These indicators were common throughout the teacher responses thus substantiating the infusion of the Facilitator-Collaborative-Reflective Model at the school level for effective staff development. ^

The effect of the advanced placement examination for credit policy by the Florida State universities on the acceleration of a student's postsecondary education

The purpose of this research study was to determine if the Advanced Placement program as it is recognized by the universities in the Florida State University System (SUS) truly serves as an acceleration mechanism for those students who enter an SUS institution with passing AP scores. Despite mandates which attempt to control uniformity of policy, each public university in Florida determines which courses will be exempted and the number of credits they will grant for passing Advanced Placement courses.^ This is a descriptive study in which the AP policies of each of the SUS institutions were compared. Additionally, the college attendance and graduation data on members of a cohort of 593 Broward County high school graduates of the class of June, 1992 were compared. Approximately 28% of the cohort members entered university with passing Advanced Placement scores.^ The rate of early and on time graduation was significantly dependent on the Advanced Placement standing of the students in the cohort. Given the financial and human cost involved, it is recommended that all state universities bring their Advanced Placement policies into line with each other and implement a uniform Advanced Placement policy. It is also recommended that a follow-up study be conducted with a new cohort bound under the current 120 credit limitation for graduation. ^

A curricular analysis of the servicing of students who are hearing impaired in Dade County, Florida

Deafness is an invisible handicap which makes education difficult due to its effect on language acquisition and development, speech acquisition, and ability to communicate with others. Teachers of students who are hearing impaired have been at odds for more than a century as to the best method of communication to use in teaching students who are hearing impaired, and in providing these students with communication systems that will enable them to be effective communicators. This dissertation utilized qualitative research methods to analyze whether the Dade County Public Schools Procedures for Providing Special Education for Exceptional Students-Hearing Impaired (DCPS), (1976-77; 1992-93) show evidence of an appropriate curriculum and instructional program that is responsive to the conditions facing exceptional education students identified as hearing impaired. Results indicate that many of the curriculum and instructional program requirements are not identified nor described when analyzed by Tyler's "Rationale" for Curriculum and Stufflebeam's Improvement-Oriented Evaluation Model, better known as Stufflebeam's CIPP Model. Recommendations to improve and enhance programs for students who are hearing impaired are offered based on this analysis. ^

The relationship between the teacher's experience, the teacher's college major, and the teacher's level of education in predicting classroom attitudes in high school science students

A review of the literature reveals few research has attempted to demonstrate if a relationship exists between the type of teacher training a science teacher has received and the perceived attitudes of his/her students. Some of the teacher preparation factors examined in this study include the college major chosen by the science teacher, the highest degree earned, the number of years of teaching experience, the type of science course taught, and the grade level taught by the teacher. This study examined how the various factors mentioned, could influence the behaviors which are characteristic of the teacher, and how these behaviors could be reflective in the classroom environment experienced by the students.^ The instrument used in the study was the Classroom Environment Scale (CES), Real Form. The measured classroom environment was broken down into three separate dimensions, with three components within each dimension in the CES. Multiple Regression statistical analyses examined how components of the teachers' education influenced the perceived dimensions of the classroom environment from the students.^ The study occurred in Miami-Dade County Florida, with a predominantly urban high school student population. There were 40 secondary science teachers involved, each with an average of 30 students. The total number of students sampled in the study was 1200. The teachers who participated in the study taught the entire range of secondary science courses offered at this large school district. All teachers were selected by the researcher so that a balance would occur in the sample between teachers who were education major versus science major. Additionally, the researcher selected teachers so that a balance occurred in regards to the different levels of college degrees earned among those involved in the study.^ Several research questions sought to determine if there was significant difference between the type of the educational background obtained by secondary science teachers and the students' perception of the classroom environment. Other research questions sought to determine if there were significant differences in the students' perceptions of the classroom environment for secondary science teachers who taught biological content, or non-biological content sciences. An additional research question sought to evaluate if the grade level taught would affect the students' perception of the classroom environment. (Abstract shortened by UMI.) ^

The effectiveness of an intelligent tutoring system on the attitude and achievement of developmental mathematics students in a community college

This study examined the effectiveness of intelligent tutoring system instruction, grounded in John Anderson's ACT theory of cognition, on the achievement and attitude of developmental mathematics students in the community college setting. The quasi-experimental research used a pretest-posttest control group design. The dependent variables were problem solving achievement, overall achievement, and attitude towards mathematics. The independent variable was instructional method.^ Four intact classes and two instructors participated in the study for one semester. Two classes (n = 35) served as experimental groups; they received six lessons with real-world problems using intelligent tutoring system instruction. The other two classes (n = 24) served as control groups; they received six lessons with real-world problems using traditional instruction including graphing calculator support. It was hypothesized that students taught problem solving using the intelligent tutoring system would achieve more on the dependent variables than students taught without the intelligent tutoring system.^ Posttest mean scores for one teacher produced a significant difference in overall achievement for the experimental group. The same teacher had higher means, not significantly, for the experimental group in problem solving achievement. The study did not indicate a significant difference in attitude mean scores.^ It was concluded that using an intelligent tutoring system in problem solving instruction may impact student's overall mathematics achievement and problem solving achievement. Other factors must be considered, such as the teacher's classroom experience, the teacher's experience with the intelligent tutoring system, trained technical support, and trained student support; as well as student learning styles, motivation, and overall mathematics ability. ^

Planning and evaluation of Business English course in compliance with internationalization in Taiwan: A case study of Tainan Women's College of Arts & Technology

In compliance with the economic internationalization movement and the development of Asia-Pacific Regional Operation Center (APROC) in Taiwan, international business has become more and more important. To sustain favorable trade balances every year and the promotion of APROC in Taiwan, more and more talent with knowledge and skills of Business English are needed. As a consequence, it is necessary to make Business English curriculum appropriate to meet the emerging needs.^ Two groups, experimental and control, received the revised or traditional Business English course to answer the question, "Does the Business English curriculum at Tainan Woman's College of Arts & Technology (TWCAT) meet the needs of students?" Ninety-five subjects were randomly selected from the commercial departments at TWCAT and then randomly assigned to the two groups. In addition, the Business English scores of the subjects' previous semester were collected and analyzed to justify the random selection and assignment. The finding was that their initial equivalence was proved.^ A questionnaire for students and another one for the business community were administered to facilitate data collection and analysis. The results of the questionnaires were used to modify the curriculum content of Business English.^ A final-term examination was given to the subjects at the end of the pilot study of Business English in early May of 1998. The resulting scores of the examination were used to determine if there was a significant difference in learning achievement between the students of the two groups.^ Using Independent Samples Test, significant results indicated that the experimental group had higher level of learning Business English than the control group. The finding supports the hypothesis of this study.^ Recommendations based on these results are that the revised curriculum be adapted and used by TWCAT because it better meets student needs. ^

Education and training in the use of physical agent modalities by occupational therapists practicing in the physical disabilities area

This study was conducted to examine how occupational therapists (OTs) practicing in the physical disabilities area received their training in the use of physical agent modalities (PAMs); to determine the frequency of PAMs usage by those therapists; and to obtain their opinions regarding the training of OTs and OT students in the administration of PAMs. Three hundred OTs practicing in physical diabilities (n = 194 returned) were surveyed. The most frequently used modalities were hot and cold packs, paraffin, and ultrasound. The least frequently used modalities were transcutaneous electrical stimulation (TENS) and whirlpool. On-the-job training was the most common educational method received by the respondents for PAMs usage. The respondents considered a combination of undergraduate education, fieldwork, continuing education and on-the-job training as the most appropriate educational setting for training in modalities. While few of the respondents received preparation in PAMs during entry-level academic programs, the majority felt that OT students should be trained in PAMs usage as part of their education curriculum. ^

The identification of early factors related to academic achievement among deaf students

The purpose of this research study was to examine specific factors believed to be related to academic achievement in deaf children. More specifically, this research sought to determine whether there was a significant difference in achievement between those students whose parents use oral communication only and those whose parents use some type of sign language. An additional purpose of this research was to determine if there was a significant difference in academic achievement with those deaf students who used amplification devices early in life. This study also sought to determine whether providing early intervention program which emphasizes and enables parents to develop a language rich environment had a significant impact on the academic achievement of deaf children and whether the age at which initial services are received influence deaf student's subsequent academic achievement. This study examined the relationship, if any, between intellectual ability and academic achievement among deaf children. Finally, this study sought to investigate the relationship between the degree of hearing loss and academic achievement. ^ Purposive sampling was used to select subjects for this study. All 228 eligible Deaf/Hard of Hearing (DHH) students enrolled in a Broward County Public School were included in the original sample. Sixty-one students actually participated in this study. A correlational method of statistical analysis as well as a cross classification (crosstabs) was used to analyze the data. ^ The results show that academic achievement in the areas of reading and mathematics was significantly related to parental mode of communication and the mode of communication used in school. Academic achievement, in the area of reading, was also signficantly related to intellectual ability. The reading achievement was also found to be significantly related to degree of hearing loss. Written language was not significantly related to any factors investigated in this study. ^ Additional research should be conducted to further investigate the low academic achievement among deaf children. The diversity among signing systems at school and between home and school should also be analyzed. Finally, future studies should examine curriculum and instruction methods to increase the academic achievement of deaf children. ^

The effects of using an alternative method for teaching badminton to post secondary level students in Taiwan

The effect of teaching method in physical education is an important issue and has been a concern of the expert teacher. Teachers are expected to create a model of teaching in their field; therefore, it is reasonable to question what is the effect of an alternative teaching method on student performance in physical education. This study explores whether teaching methods with advanced planning, behavior and belief in high enthusiasm, use of instructional strategies and evaluation, together termed a systematic teaching approach, used in a physical education activity would provide an effective environment for learning which supports student achievement in the psychomotor, cognitive, and affective domains. This study also investigated whether there was a difference in performance between students who were taught with a systematic teaching approach and students who were taught with the traditional teaching model. Information was collected using two performance skills, a written test, and one questionnaire. The 68 participants were randomly assigned into either an experimental group or a control group. Two teachers were assigned to either the experimental group or the control group. The teaching experiment took place at Tamsui Oxford University College in Taiwan and lasted eight weeks. ^ Research questions were analyzed using the t-test. Results indicated that a significant difference in students' performance was found between the experimental group and the control group on both the skill tests and the paper test. Analysis of student attitude toward their teacher and their course on the questionnaire indicated a significant difference between the experimental group and the control group. ^ The findings of this study imply that students who were taught with a systematic teaching style were significantly superior to students who were taught with the traditional model on these measures. This finding supports the contention that effective teaching in physical education is related to advanced planning, high enthusiasm, instructional strategy and evaluation and that all physical education teachers should implement these planning elements in the development of the teaching strategies. ^