The representation of fraction magnitudes and the whole number bias reconsidered     

《Learning and Instruction》2015

Two experiments investigated the whole number bias in the representation of fraction magnitudes with adults. A fraction magnitude comparison task was used where half of the comparisons were consistent with whole number ordering and the other half were not. Distance effects were found in Experiment 1 indicating that participants were comparing the magnitude of the whole fraction rather than just the parts. However, accuracy and response time also depended on the comparisons' consistency with whole number ordering. Experiment 2 manipulated the distance between the fraction pairs and showed that the whole number effect was strongest when the distance between the fraction pairs was very small. The results suggest that even skilled adults do not always have direct access to a fraction's magnitude on the number line. When the magnitudes are especially close together, adults may rely on alternative implicit or explicit strategies, such as examining the whole number parts, to evaluate the comparison.  相似文献   

数学是一种“脑具”     

陈晓江 《九江职业技术学院学报》2015,(1)

数学是大脑思考的工具,发挥数学的文化价值,帮助学生学会数学地思维,甚至通过数学学会思维,是高职数学课程的重要功能取向。  相似文献   

MATLAB的应用研究     

张曼清  葛玲玲 《鸡西大学学报》2006,6(4):79-80

数学实验中MATLAB的应用体现出现代教育技术的调控作用、数学思想方法的灵魂作用、教育观念的先导作用  相似文献   

数学教学反思的策略及探究   总被引：1，自引：0，他引：1  

徐春芬 《安徽科技学院学报》2009,23(2)

数学的应用已延伸到各个领域,为了培养适应性与应用性相结合的人才,数学教师进行及时的教学反思是一条行之有效的办法.本文试图从教学反思的主要特征、教学反思的内容、教学反思的策略以及教学反思应注意的几个问题等方面着手进行论述.  相似文献   

在数学教学中如何培养学生的创新能力     

邓西忠  王爱敏 《中国教育发展研究杂志》2007,4(4):45-46

笔者对如何培养学生创新能力有如下见解：①敏锐的观察力；②多向思考，广开思路；③勇敢的质疑精神；④合理大胆地猜想；⑤给学生一个创造的集体氛围。  相似文献   

高职院校高等数学教学的现状及教改的设想   总被引：3，自引：0，他引：3  

王新桥 《珠海城市职业技术学院学报》2005,11(3):22-25

高职院校中高等数学的教与学长期困扰着教师和学生。如何走出高数教学的困境，切实的改善高数教学的局面，是高职教育中急需解决的问题之一。文章从高职生的现状出发，在教学计划、教材选用、考核等几方面，对高数的教改进行阐述。  相似文献   

Mathematics achievement and mathematics learning strategies: Cognitive competencies and construct differentiation     

Victor Thiessen  Jörg Blasius 《International Journal of Educational Research》2008,47(6):362-371

Responding to a survey requires cognitive abilities similar to those for any other linguistic task. We argue that, when faced with a cognitively challenging task, individuals respond by simplifying the task, declining it, or performing it poorly. Using the 2003 Program for International Student Assessment (PISA 2003) data sets, we document that the extent of construct differentiation in students’ mathematics learning strategies is strongly associated with their level of mathematics achievement. Likewise, the higher the level of mathematics achievement, the lower is the probability of a non-response to the mathematics learning strategy questions. Finally, the higher the students’ level of mathematics achievement, the more varied were their responses to the learning strategies items. These associations were examined across 40 participating countries.  相似文献   

Better together: Simultaneous presentation of speech and gesture in math instruction supports generalization and retention     

《Learning and Instruction》2017

When teachers gesture during instruction, children retain and generalize what they are taught (Goldin-Meadow, 2014). But why does gesture have such a powerful effect on learning? Previous research shows that children learn most from a math lesson when teachers present one problem-solving strategy in speech while simultaneously presenting a different, but complementary, strategy in gesture (Singer & Goldin-Meadow, 2005). One possibility is that gesture is powerful in this context because it presents information simultaneously with speech. Alternatively, gesture may be effective simply because it involves the body, in which case the timing of information presented in speech and gesture may be less important for learning. Here we find evidence for the importance of simultaneity: 3rd grade children retain and generalize what they learn from a math lesson better when given instruction containing simultaneous speech and gesture than when given instruction containing sequential speech and gesture. Interpreting these results in the context of theories of multimodal learning, we find that gesture capitalizes on its synchrony with speech to promote learning that lasts and can be generalized.  相似文献   

A collaborative autoethnography study to inform the teaching of reflective practice in STEM     

Rachael Hains-Wesson  Karen Young 《高等教育研究与发展》2017,36(2):297-310

The paper explores a collaborative self-study, autoethnography research project, which aided in informing practice for the teaching of reflective practice in Science, Technology, Engineering and Mathematics (STEM) at an Australian university. Self-report methods were used, because it enabled the collection of a variety of self-awareness data generated processes to help produce insights and understandings. This was achieved by undertaking a systematic approach to the exploration of a critical friendship between two academic support staff members alongside reflections from a recorded, focus group interview with nine STEM teachers. Four self-awareness data generated processes were used: (1) self-reflections; (2) collaborative reflections; (3) reflections on pertinent literature findings and (4) reflections from nine STEM teachers. A thematic analysis of the data was undertaken, which resulted in the discovery of three turning points such as moments of understandings that challenge assumptions and/or lead to new insights. The findings indicated that a STEM-centric, scaffolded approach that utilised the scientific method for reflective practice enabled the development of a shared understanding around teaching and assessing reflective practice for STEM teachers. First, because it boosted self-confidence and second, because it reduced scepticism around reflective practice as a non-scientific form of learning.  相似文献   

Within and between person associations of calibration and achievement     

《Contemporary educational psychology》2017

Self-regulated learning (SRL), the ability to set goals and monitor and control progress toward these goals, is an important part of a positive mathematical disposition. Within SRL, accurate metacognitive monitoring is necessary to drive control processes. Students who display this accuracy are said to be calibrated, and although calibration is a growing area of research within Educational Psychology, unanswered questions remain about calibration's role as an aspect of metacognition, including the unique association between calibration and academic performance. In this study, calibration is characterized as part of a dynamic system that varies across tasks within the same person; variance in calibration is associated with variance in performance gain for the same student across tasks (quizzes within a year-long mathematics curriculum, ST Math). Both accurate determinations of certainty (Sensitivity) and uncertainty (Specificity) have unique small, yet statistically significant, associations with performance gains from pre to posttest in ST Math. For Specificity, there also remains a contextual association with performance at the Person level. Results are discussed in light of prior research on calibration and of theories of SRL; the data and analyses present a novel approach to studying calibration within a dynamic system and offer insights for future work.  相似文献