卓越實證概述 Best Evidence in Brief

Maths and Science Learning

Family and Progress in Mathematics

Using a large sample from a longitudinal national Chinese survey, an article recently published in Learning and Instruction investigated how socioeconomic status (SES) and the academic expectation of the primary caregivers predicted students’ attainment in mathematics. The study used data from China Family Panel Studies, a longitudinal survey launched in 2010 and conducted every two years in 162 counties in China. In total, 1,407 adolescents were examined with data collected in 2010, 2012, and 2014, years in which the cohort grew from aged 10-15 to aged 14-19. In these years, students took three mathematics tests, the results of which were analyzed with their SES at the baseline and their primary caregivers’ academic expectations. It was found that: Both SES and primary caregivers’ academic expectation exerted positive effects on the mathematics attainment of the students in the study. Higher academic expectation from primary caregivers at ages 10-15 supported students to make...

24 09 2019
A review of classroom-based mathematical interventions

The Nuffield Foundation in the UK recently published a report from researchers at Ulster University that analyzes the outcomes of classroom-based mathematical interventions, and gives teachers access to a body of evidence that can assist them in helping primary school children with math. The systematic review included studies that assessed the outcomes of interventions aimed at improving math achievement in elementary children. Forty-five randomized controlled trials were included along with thirty-five quasi-experimental studies. The studies were published between 2000 and 2017, and were mostly conducted in the U.S. and Europe. The results of the review suggest that: There are effective strategies teachers can use to help with learning math and being fluent with mathematical facts. It also found there are many different ways teachers can support children to have a wide bank of strategies to complete mathematical problems, and for children to know when is best to apply them. Technology in the classroom can also be helpful...

11 09 2019
An evaluation of QuickSmart Numeracy

QuickSmart Numeracy is a 30-week math tutoring program from Australia that uses teaching assistants as tutors. Its goal is to increase basic math fact automaticity/fluency in students in Year 4 and Year 8 who perform in the bottom third of their national cohort as measured on standardized testing, the premise being that increased math fluency allows students to devote their concentration to math concepts instead of fact recall. Researchers from the Teachers and Teaching Research Centre in the School of Education at the University of Newcastle, Australia, recently examined the effects of the program on student achievement in a randomized controlled trial. Subjects were 288 Year 4 and Year 8 students from 70 classrooms in 23 Sydney Catholic Schools in New South Wales who scored below the bottom 30th percentile on national standardized testing. Baseline testing was done in March 2017 using the Australian Council for Educational Research (ACER) Progressive Achievement...

13 08 2019
Improving times table fluency

The Institute for Effective Education (IEE) in the UK has published a new report from a project funded by their Innovation Evaluation Grants. The IEE Innovation evaluations are small-scale and test the kinds of innovations that schools are interested in. Thirty-four Year 4 classes took part in the evaluation of Improving times table fluency, which was conducted by Underwood West Academy. A total of 876 children were included in the study. Five groups of four or five classes were created by matching the pre-test scores on a 25-item tables test and the percentage of children in receipt of pupil premium (additional funding for schools in England, designed to help disadvantaged students). All groups had similar pre-test scores and similar percentages of children in receipt of pupil premium. Each class used a different balance of conceptual and procedural activities during times tables lessons. Conceptual activities were games that focused on the connections...

31 07 2019
Interleaved practice improves math test scores

The results of a randomized controlled trial, published in Journal of Educational Psychology, suggest that a greater emphasis on interleaved practice may dramatically improve math test scores for seventh graders. Whereas most mathematics worksheets consist of a block of problems devoted to the same skill or concept, an interleaved worksheet is arranged so that no two consecutive problems require the same strategy. Doug Rohrer and colleagues conducted the study with 54 classes in a large school district in Florida during the 2017–2018 school year. Over a period of four months, the classes periodically completed either interleaved or blocked worksheets, and then both groups completed an interleaved review worksheet. All students completed the same problems. One month later, students took an unannounced test which was set by the researchers. The study found that: Students who had completed the interleaved assignments performed much better on the unannounced test than those in the blocked assignment...

02 07 2019
Does anxiety affect performance, or poor performance cause anxiety?

Math anxiety is the state of discomfort around the performance of mathematical tasks. Does math anxiety cause poor performance in mathematics, or is it poor performance in mathematics that causes math anxiety? The question is important, because it affects the “treatment” that results. Should the focus be on improving students’ confidence, or their math ability? A review in Frontiers in Psychology considers the evidence supporting the two models – The Deficit Theory, which claims that poor performance leads to high anxiety, or The Debilitating Anxiety Theory, which claims that anxiety reduces performance by affecting the pre-processing, processing, and retrieval of information. The review reveals that the evidence is conflicting – There is research to support the Deficit Theory, with the strongest evidence coming from longitudinal studies and studies of mathematical disabilities. Similarly, there is support for the Debilitating Anxiety Model from studies across all ages that have manipulated anxiety to reveal either...

05 06 2019
Improving mathematical problem solving in grades 4 through 8

This practice guide from the What Works Clearinghouse provides five recommendations for improving students’ mathematical problem solving in grades 4 through 8. The guide is geared toward teachers, math coaches, other educators, and curriculum developers who want to improve the mathematical problem solving of students. Recommendations include: Assist students in monitoring and reflecting on the problem-solving process. Teach students how to use visual representations. Expose students to multiple problem-solving strategies. The guide presents evidence-based suggestions for putting each recommendation into practice and describes roadblocks that may be encountered, as well as possible solutions. Each recommendation is rated based on the strength of the research evidence that has shown the effectiveness of the recommendation. The recommendations listed above have strong to moderate evidence of effectiveness.   Source (Open Access): Woodward, J., Beckmann, S., Driscoll, M., Franke, M., Herzig, P., Jitendra, A., …Ogbuehi, P. (2012). Improving mathematical problem solving in grades 4 through 8:...

05 06 2019
What counts for future success in math?

Which preschool math competencies are most important for later math achievement? A study in Early Childhood Research Quarterly attempts to answer this question for low-income and minority children. The research looked at 781 children who completed the Research-based Early Mathematics Assessment (REMA) in preschool and a further math assessment in fifth grade. The children came from diverse classrooms in New York and Boston, with 53% of the children African-American and 83% qualifying for free or reduced-price lunch. Using state-defined preschool mathematics standards documents, the researchers classified the REMA into a number of domains of mathematical knowledge: Counting and cardinality – basic counting (rote counting, number recognition, one-to-one correspondence) and advanced counting (cardinality, counting forward and back) Patterning – extend and duplicate patterns Geometry – identify, compare, and compose shapes Measurement and data – recognize shapes and identify their attributes by measurement It was found that: All the domains were significantly predictive of later achievement,...

05 06 2019
Traditional teaching methods may be putting off math students

Traditional teaching methods, where the teacher stands at the front and dictates to the class, may be affecting students’ attitudes toward math, suggested by researchers at the University of Manchester. More than 13,000 11- to 16-year-old students and 128 teachers at 40 secondary schools across England were asked to complete questionnaires detailing the kind of activities they experienced in math lessons. The study found that: Traditional activities such as copying the teacher’s notes from the board and being asked questions by the teacher were most frequently cited, ahead of alternative learning approaches such as using media-like magazines and videos in class. Students who reported a more traditional teaching experience in their lessons also named math as their least favorite subject. The results of a review in 2009 from the Johns Hopkins School of Education’s Center for Research and Reform in Education, Effective Programs in Middle and High School Mathematics: A Best-Evidence...

05 06 2019