Fractions as the Coordination of Multiplicatively Related Quantities: A Cross-Sectional Study of Children's Thinking     

Susan B. Empson  Debra Junk  Higinio Dominguez  Erin Turner 《Educational Studies in Mathematics》2006,63(1):1-28

Although equal sharing problems appear to support the development of fractions as multiplicative structures, very little work has examined how children's informal solutions reflect this possibility. The primary goal of this study was to analyze children's coordination of two quantities (number of people sharing and number of things being shared) in their solutions to equal sharing problems and to see to what extent this coordination was multiplicative. A secondary goal was to document children's solutions for equal sharing problems in which the quantities had a common factor (other than 1). Data consisted of problem-solving interviews with students in 1st, 3rd, 4th, and 5th grades (n=112). We found two major categories of strategies: (a) Parts Quantities strategies and (b) Ratio Quantities strategies. Parts quantities involved children's partitions of continuous units expressed in terms of the number of pieces that would be created. Ratio quantities involved children's creation of associated sets of discrete quantities. Within these strategies, children drew upon a range of relationships among fractions, ratio, multiplication, and division to mentally or physically manipulate quantities of sharers and things to produce exhaustive and equal partitions of the items. Additionally, we observed that problems that included number combinations with common factors elicited a wider range of whole-number knowledge and operations in children's strategies and therefore appeared to support richer interconnections than problems with relatively prime or more basic number combinations.  相似文献   

Reviews     

Hugh Clapin  Katherine Neal  John Wennerbom  Barbara Nunn  Deborah Dysart  Andy Pickering  Lisa Featherstone  Hiram Caton  Dale Jacquette  Laura Ruetsche  William A. Turner  Cornelia Lüdecke  Birgit Lohmann  James Ladyman  Jonathan Coopersmith  David Oldroyd  Dennis Dean  Michael Ruse  Nicolas Rasmussen  William N. Kaghan  Martin Bridgstock  Geoffrey Cocks  Stephanie H. Kenen  Ivan Crozier  Sokhieng Au  Desmond Barrett  Mark Cortiula  Ian D. Lawrie 《Metascience》2001,10(1):50-149

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An investigation into teaching games for understanding: effects on skill, knowledge, and game play.     

A P Turner  T J Martinek 《Research quarterly for exercise and sport》1999,70(3):286-296

The purpose of this study was to test the validity of the games for understanding model by comparing it to a technique approach to instruction and a control group. The technique method focused primarily on skill instruction where the skill taught initially was incorporated into a game at the end of each lesson. The games for understanding approach emphasized developing tactical awareness and decision making in small game situations. Two physical education specialists taught field hockey using these approaches for 15 lessons (45 min each). The control group did not receive any field hockey instruction. Data were collected from 71 middle school children. Pretests and posttests were administered for hockey knowledge, skill, and game performance. Separate analyses of variance or analyses of covariance were conducted to examine group differences for cognitive and skill outcomes. The games for understanding group scored significantly higher on passing decision making than the technique and control groups during posttest game play and significantly higher than the control group for declarative and procedural knowledge. The games for understanding group scored significantly higher on control and passing execution than the other groups during posttest game play. For hockey skill, there were no significant differences among the treatment groups for accuracy, but the technique group recorded faster times than the control group on the posttest.  相似文献   

The effects of professional development on science teaching practices and classroom culture     

Jonathan A. Supovitz  Herbert M. Turner 《科学教学研究杂志》2000,37(9):963-980

The current science education reform movement emphasizes the importance of professional development as a means of improving student science achievement. Reformers have developed a vision for professional development based upon intensive and sustained training around concrete tasks that is focused on subject‐matter knowledge, connected to specific standards for student performance, and embedded in a systemic context. Using data from a National Science Foundation Teacher Enhancement program called the Local Systemic Change initiative, this study employs hierarchical linear modeling to examine the relationship between professional development and the reformers' vision of teaching practice. The findings indicate that the quantity of professional development in which teachers participate is strongly linked with both inquiry‐based teaching practice and investigative classroom culture. At the individual level, teachers' content preparation also has a powerful influence on teaching practice and classroom culture. At the school level, school socioeconomic status was found to influence practice more substantially than either principal supportiveness or available resources. © 2000 John Wiley & Sons, Inc. J Res Sci Teach 37: 963–980, 2000  相似文献   

Culture wars in the classroom: Prospective teachers question science     

Karen Sullenger  Steve Turner  Hart Caplan  Joe Crummey  Rick Cuming  Cynthia Charron  Beth Corey 《科学教学研究杂志》2000,37(9):895-915

Does studying about the nature(s) of science contribute to a prospective teachers' effectiveness as a science teacher? This research grew out of a course created by a science educator and historian of science who believed prospective teachers needed more complex understandings of the cultural wars surrounding science. The research team consisted of five prospective teachers who participated in the course as well as the two instructors. This paper describes the experience of participating in the course from both perspectives. We argue that studying the cultural wars over science contributes to prospective teachers' professional growth as much because the course elicits tacit beliefs about school science as it introduces more complex understandings of science. We found that prospective teachers' tacit beliefs about school science were their greatest barrier to developing more complex understandings about the nature(s) of science. We contend that willingness to grapple with complexity and developing a professional identity by locating oneself in the conversations about the nature(s) of science are better criteria for determining the professional growth of prospective teachers than knowledge measures. Finally, we argue that prospective teachers should be viewed as professionals who are responsible for finding their own voice, making their own decisions, and considering the consequences of their beliefs on their practice. This study raises questions critical to teacher education programs for prospective teachers and teacher‐educators alike. © 2000 John Wiley & Sons, Inc. J Res Sci Teach 37: 895–915, 2000  相似文献   

Spoken language development in oral preschool children with permanent childhood deafness     

Sarant JZ  Holt CM  Dowell RC  Rickards FW  Blamey PJ 《Journal of deaf studies and deaf education》2009,14(2):205-217

This article documented spoken language outcomes for preschool children with hearing loss and examined the relationships between language abilities and characteristics of children such as degree of hearing loss, cognitive abilities, age at entry to early intervention, and parent involvement in children's intervention programs. Participants were evaluated using a combination of the Child Development Inventory, the Peabody Picture Vocabulary Test, and the Preschool Clinical Evaluation of Language Fundamentals depending on their age at the time of assessment. Maternal education, cognitive ability, and family involvement were also measured. Over half of the children who participated in this study had poor language outcomes overall. No significant differences were found in language outcomes on any of the measures for children who were diagnosed early and those diagnosed later. Multiple regression analyses showed that family participation, degree of hearing loss, and cognitive ability significantly predicted language outcomes and together accounted for almost 60% of the variance in scores. This article highlights the importance of family participation in intervention programs to enable children to achieve optimal language outcomes. Further work may clarify the effects of early diagnosis on language outcomes for preschool children.  相似文献   

An evaluation of the special needs referral process for low-income preschool children with emotional and behavioral problems     

John Fantuzzo  Jill Stoltzfus  Megan Noone Lutz  Helen Hamlet  Vijaykumar Balraj  Colleen Turner  Samuel Mosca 《Early childhood research quarterly》1999,14(4):465

The present study is an evaluation of the special needs referral system in a large urban Head Start program. To assess the validity of this system, two assessments were conducted. The first examined a representative sample of 105 children who were formally referred for special needs services. The Early Intervention Screening Profile (EISP) was used to indicate the distribution of problem behaviors of these special needs children. Two independent raters evaluated all cases. Reliable evaluations revealed that all of the referred children displayed speech and language problems, with 70% showing only speech problems and 30% showing speech plus emotional and behavioral problems. The second assessment examined reports of teachers’ concerns about children program-wide by obtaining a representative sample of 203 children nominated by teachers as most likely to be identified as having special needs. Teachers completed a modified EISP. Results indicated that over 70% of the children evidenced emotional and behavioral problems with no accompanying speech difficulties and 30% displayed emotional and behavioral problems plus speech problems. Implications of referral biases were discussed.  相似文献   

Maltreatment following reunification: Predictors of subsequent Child Protective Services contact after children return home     

Christian M. Connell  Jeffrey J. Vanderploeg  Karol H. Katz  Colleen Caron  Leon Saunders  Jacob Kraemer Tebes 《Child abuse & neglect》2009,33(4):218-228

ObjectivesThis study examined risk of maltreatment among children exiting foster care using a statewide sample of children reunified between 2001 and 2004 in Rhode Island. The objectives were: (1) to compare rates of maltreatment following parental reunification for youth in care as a result of maltreatment with those in care for other reasons; and (2) to assess the effects of child, family, and case characteristics on rates of re-maltreatment among children placed in foster care due to maltreatment.MethodA longitudinal dataset of all reunified cases was matched with state records of substantiated Child Protective Service (CPS) investigations. Two Cox proportional hazards models were tested. The first model compared rates of subsequent maltreatment for two groups: children in foster care as a result of maltreatment, and those in care for other reasons. The second model investigated the effects of child, family, and case characteristics on re-maltreatment rates for those in care as a result of maltreatment.ResultsChildren in foster care due to maltreatment were significantly more likely to be maltreated following reunification. Among children in foster care due to maltreatment, factors that raised risk for re-maltreatment included a previous foster care placement, exiting care from a non-relative foster home, and removal due to neglect. Older adolescents had lower rates of re-maltreatment than infants. Child neglect was the primary type of recurrent maltreatment that occurred following reunification.ConclusionsSupports are needed for families about to be reunified, particularly when the removal was prompted by incidents of abuse or neglect. Incidents of neglect are particularly likely and appropriate services should specifically target factors contributing to neglect. Cases involving youth with a history of repeated foster care placement or in which non-relative placements are utilized may need additional supports.Practice implicationsThis study suggests that services should be developed to minimize the risk for recurrent maltreatment following reunification. Services would be most useful for high-risk cases prior to reunification and during the first year following reunification. Understanding the risks associated with maltreatment will help guide development of appropriate interventions.  相似文献   

Exploring cultural differences in critical thinking: Is it about my thinking style or the language I speak?     

Vivian Miu-Chi Lun  Ronald Fischer  Colleen Ward 《Learning and individual differences》2010,20(6):604-616

Critical thinking is deemed as an ideal in academic settings, but cultural differences in critical thinking performance between Asian and Western students have been reported in the international education literature. We examined explanations for the observed differences in critical thinking between Asian and New Zealand (NZ) European students, and tested hypotheses derived from research in international education and cultural psychology. The results showed that NZ European students performed better on two objective measures of critical thinking skills than Asian students. English proficiency, but not dialectical thinking style, could at least partially if not fully explain these differences. This finding holds with both self-report (Study 1) and objectively measured (Study 2a) English proficiency. The results also indicated that Asian students tended to rely more on dialectical thinking to solve critical thinking problems than their Western counterparts. In a follow-up data analysis, students' critical thinking was found to predict their academic performance after controlling for the effects of English proficiency and general intellectual ability, but the relationship does not vary as a function of students' cultural backgrounds or cultural adoption (Study 2b). Altogether, these findings contribute to our understanding of the influence of culture on critical thinking in international education.  相似文献   

Inside Out: Action Research from the Teacher–Researcher Perspective     

Colleen Megowan-Romanowicz 《Journal of Science Teacher Education》2010,21(8):993-1011

Teachers enrolled in the master of natural science program for high school science teachers at a large research university must complete a year-long action research study. This account, by the program’s action research coordinator, describes both process and outcomes of this research experience from the perspectives of the research coordinator and the teacher–researchers, shedding light on the organizational learning that takes place, and the ways in which the research experience affected individual teacher–researchers. Teachers reported that their action research experience changed them in fundamental ways, providing them with a framework for deepening their understanding of student thinking, challenging their folk wisdom about teaching and learning, building confidence in their abilities and renewing their commitment to teaching as a vocation.  相似文献