Classroom dialogue and science achievement

Conclusion This study indicates the responsibility that rests with the teacher in an activity-oriented classroom as far as providing the structural support necessary for effective learning (Note 4). The teacher is acting as a “surrogate textbook”. Using their own organization of knowledge-albiet wrong or incomplete-teachers provide the structure that is lacking. As the results indicate, some teachers can do this better than others. A challenge for teachers and teacher educators is to devise ways to improving the structure and sequencing of classroom dialogue. The TSA Technique could help here in two ways. It allows a sophisticated analysis of dialogue, indicating specific areas of weakness which could then be remedied by appropriate training. A similar approach has been used successfully with text material to rewrite and restructure deficient segments (Clarke; 1973). It could also be used to produce ideal “templates” of various models of teaching (e.g. Brady; 1985) for use as a guide for lesson planning.     

The effects of a problem solving strategy on the achievement of earth science students

A review of the stated goals for education reveals a consistent emphasis on problem solving. Problem solving is compatible with the investigative nature of science and with higher order thinking. Consequently, a problem solving strategy was developed to improve the achievement of eighth grade students enrolled in earth science. The sample consisted of 287 eighth grade students randomly assigned to fourteen sections taught by four teachers. This resulted in seven control sections and seven experimental sections. The students in the treatment groups received approximately six weeks of instruction with the experimental groups receiving a variety of problem solving activities. A forty item posttest consisting of four subtests was administered to all students. The results indicate that the problem solving approach was useful in improving the overall achievement of students. It was particular effective in facilitating application of earth science subject matter. This problem solving approach appears to be a feasible strategy to use in most secondary science classrooms.     

Middle school children's strategic behavior: Classification and relation to academic achievement and mathematical problem solving

Theories of problem solving (e.g., Verschaffelet al., 2000) hold strategic behavior centralto processing mathematical word problems. Thepresent study explores 80 sixth- andseventh-grade students' self-reported use of 14categories of strategies (Zimmerman &Martinez-Pons, 1986) and the relationship ofstrategy use to academic achievement,problem-solving behaviors, and problem-solvingsuccess. High and low achievement groupsdiffered in the number of different strategiesand categories of strategies reported but notin overall number of strategies, confidence inusing strategies, or frequency of strategy use.Students whose behaviors evidenced elaborationof the word problem's text reported moreself-evaluation; organizing and transforming;and goal setting and monitoring behavior.Implications for instructional practices thatsupport active stances toward problem solvingare discussed.     

关于自然地理学创新的几点思考

从自然地理创新的角度出发，就实现自然地理创新应注意的几个问题，如方法论创新、研究内容创新、综合研究创新提出了几点思考．     

Cognitive holding power,fluid intelligence,and mathematical achievement as predictors of children's realistic problem solving

The present study explored whether first and second order cognitive holding power perceived by children in mathematical classrooms, fluid intelligence, and mathematical achievement predicted their performance on standard problems, and especially realistic problems. A sample of 119 Chinese 4–6th graders were administered the word problem test, the cognitive holding power questionnaire, and Raven's standard progressive matrices. Results showed that: (1) children's fluid intelligence and general mathematical achievement significantly predicted their performance on both realistic and standard problems, however, second order cognitive holding power predicted their performance on realistic problems but not standard problems; (2) the relationship between first order cognitive holding power and children's correct answers to realistic problems was mediated by second order cognitive holding power; (3) children's performance on standard problems was significantly better than that on realistic problems, and children's performance on both types of problems improved with their grades.     

Encouraging problem solving

Children seem to be natural problem solvers and delight in the challenges that are provided for them. Teachers who are careful observers of what children do can begin to provide many opportunities for helping them build their skills in problem solving. At the same time, it is important to let children create and solve some of their own newly discovered problems. A balance of both seems to be important to solving problems.Janis Bullock is Instructor of Early Childhood Education at Montana State University in Bozeman.     

Exploring problem conceptualization and performance in STEM problem solving contexts

Problem solving abilities are critical components of contemporary Science, Technology, Engineering and Mathematics (STEM) education. Research in the area of problem solving has uncovered much about the representation, processes and heuristic approaches to problem solving. However, critics claim this overemphasis on the process of solving problems has led to a dearth in understanding of the earlier stages such as problem conceptualization. This paper aims to address some of these concerns by exploring the area of problem conceptualization and the underlying cognitive mechanisms that may play a supporting role in reasoning success. Participants (N?=?12) were prescribed a series of convergent problem-solving tasks representative of those used for developmental purposes in STEM education. During the problem-solving episodes, cognitive data were gathered by means of an electroencephalographic headset and used to investigate students’ cognitive approaches to conceptualizing the tasks. In addition, interpretive qualitative data in the form of post-task interviews and problem solutions were collected and analyzed. Overall findings indicated a significant reliance on memory during the conceptualization of the convergent problem-solving tasks. In addition, visuospatial cognitive processes were found to support the conceptualization of convergent problem-solving tasks. Visuospatial cognitive processes facilitated students during the conceptualization of convergent problems by allowing access to differential semantic content in long-term memory.

     

Neo-piagetian predictors of achievement in physical science

This article examines the predictive value of the cognitive variables of developmental level, mental capacity, cognitive style, short-term storage space, and numerical inductive reasoning for student achievement in college science. Achievement was analyzed for each of the categories of pure recall, computational, complex items, and total score of a midterm exam as well as for the composite score on a final exam. The sample for this study consisted of a class of 32 nonscience majors enrolled in Physical Science I at the University of Southern Mississippi. The results showed that developmental level was the single best predictor of achievement. Short-term storage space and mental capacity were significant predictors of achievement for computational and complex items, but, as expected from theoretical considerations, not for pure recall items. The degree of field dependence did not well predict performance on pure recall or computational items. The results also indicate that mental capacity and field dependence do not contribute significantly to the variance if developmental level is held constant. The pattern of the predictive power of numerical inductive reasoning parallels, in magnitude, that of mental capacity. The results of this study and its implications indicate that the construct of short-term storage space has great potential to guide classroom practice and the development of instructional materials. A strategy is outlined that would guide curriculum planners and classroom teachers in the development of materials which would allow students to develop complex problem-solving behaviors.     

Applied mathematical problem solving

A case is presented for the importance of focusing on (1) average ability students, (2) substantive mathematical content, (3) real problems, and (4) realistic settings and solution procedures for research in problem solving. It is suggested that effective instructional techniques for teaching applied mathematical problem solving resembles mathematical laboratory activities, done in small group problem solving settings.The best of these laboratory activities make it possible to concretize and externalize the processes that are linked to important conceptual models, by promoting interaction with concrete materials (or lower-order ideas) and interaction with other people.Suggestions are given about ways to modify existing applied problem solving materials so they will better suit the needs of researchers and teachers.     

Effective family problem solving

Effective family problem solving was studied in 97 families of elementary-school-aged children, with 2 definite-solution tasks--tower building (TWB) and 20 questions (TQ), and 1 indefinite-solution task--plan-something-together (PST). Incentive (for cooperation or competition) and task independence (members worked solo or jointly) were manipulated during TWB and TQ, yielding 4 counterbalanced conditions per task per family. On TQ, solo performance exceeded joint performance; on TWB, competition impaired joint performance. Families effective at problem solving in all conditions of both definite-solution tasks tried more problem-solving strategies during TWB and deliberated longer and reached more satisfactory agreements during PST. Family problem-solving effectiveness was moderately predicted by 2 parents' participation in the study. Parental education, parental occupational prestige, and membership in the family of an academically and socially competent child were weaker predictors. The results indicate that definitions of effective family problem solving that are based on directly observed measures of group interaction are more valid than definitions that rely primarily on family characteristics.     

Metacognitive macroevaluations in mathematical problem solving

This paper focuses on the role of evaluation in mathematics in 749 elementary school children. The macroevaluative skills and calibration scores of high versus low mathematical problem solvers were contrasted as measures of metacognition. No relevant calibration differences were found for gender. In addition, the performances of children with mathematics learning disabilities could not be explained according to the maturational lag hypothesis. Finally, although macrometacognitive evaluation and calibration seem attractive alternatives for time-consuming on-line metacognitive assessment techniques, our data show that a global and retrospective assessment of the macroevaluation is not always enough to get the picture of mathematical problem solving in young children.     

Productive failure in mathematical problem solving

This paper reports on a quasi-experimental study comparing a “productive failure” instructional design (Kapur in Cognition and Instruction 26(3):379–424, 2008) with a traditional “lecture and practice” instructional design for a 2-week curricular unit on rate and speed. Seventy-five, 7th-grade mathematics students from a mainstream secondary school in Singapore participated in the study. Students experienced either a traditional lecture and practice teaching cycle or a productive failure cycle, where they solved complex problems in small groups without the provision of any support or scaffolds up until a consolidation lecture by their teacher during the last lesson for the unit. Findings suggest that students from the productive failure condition produced a diversity of linked problem representations and methods for solving the problems but were ultimately unsuccessful in their efforts, be it in groups or individually. Expectedly, they reported low confidence in their solutions. Despite seemingly failing in their collective and individual problem-solving efforts, students from the productive failure condition significantly outperformed their counterparts from the lecture and practice condition on both well-structured and higher-order application problems on the post-tests. After the post-test, they also demonstrated significantly better performance in using structured-response scaffolds to solve problems on relative speed—a higher-level concept not even covered during instruction. Findings and implications of productive failure for instructional design and future research are discussed.     

Mathematical problem solving and young children

Educators of young children can enhance the development of a problem-solving thought process through daily activities in their classrooms. An emphasis should be placed on the actual thought process needed to solve problems that occur in everyday living. Educators can follow simple suggestions to create problem-solving situations for all ages of children. The process of thinking through a problem and finding a solution is more important than traditional mathematics counting and memorizing useless facts. Even very young children are capable of a problem-solving process that is on the appropriate developmental level. The problem-solving process is constructivist in nature, as each individual perceives problems according to her or his background and developmental levels. Educators need to make a conscious effort to capitalize on all stages of problem-solving thinking to enhance future mathematical development.     

Curriculum biasing effects in standardized and criterion-referenced reading achievement tests

The extent of curriculum bias was analyzed using seven standardized and criterionreferenced reading achievement tests. This bias was examined relative to five widely used commercial reading programs at the third-grade level. Results from the analysis indicated that the degree of bias varied widely depending on the specific test and program used for reading instruction. The practical and ethical implications of this bias effect are described in relation to the placement of children into reading programs and identification of students as exceptional.