Assessing the Impact of Bridging Analogies in Mechanics

The effects of bridging analogies teaching strategy and gender on Turkish high school students' misconceptions in mechanics were investigated. After a pilot study with 67 students in a nearby high school, the researchers administered the revised Mechanics Misconception Test to 119 high school students as a pretest. Students in the experimental group were instructed by using bridging analogies teaching strategy. At the end of a 3‐week treatment period, the same test was administered to all students as a posttest. The data were analyzed by using analysis of covariance (ANCOVA). The statistical results showed that bridging analogies teaching strategy was an effective means of reducing the number of misconceptions students held about normal forces, frictional forces, tension, gravity, inertia, and Newton's third law.     

The Effectiveness of Schoolyards as Sites for Elementary Science Instruction

This study compared the impacts of traditional classroom and outdoor schoolyard instruction on the environmental science content knowledge and attitudes of 285 third‐ and fourth‐grade students. A modified Solomon Four Group design, including control, classroom treatment, and schoolyard treatment groups, was used. Both the indoor classroom and outdoor schoolyard treatments consisted of corresponding 10‐day units focusing on plant and animal ecology. Valid and reliable content knowledge and attitude assessments were administered before and after instruction. Analyses of variance and post hoc analyses of posttest scores and gain scores indicated that elementary students learned significantly more about selected environmental science topics through outdoor schoolyard experiences than through traditional indoor classroom experiences. Both classroom and schoolyard treatment groups developed more positive environmental attitudes as a result of instruction, but the attitude posttest and gain scores of these two groups were not significantly different from each other.     

Effectiveness of Two Generative Learning Strategies in the Science Classroom

The purpose of this study was to assess the effectiveness of two generative learning strategies, concept mapping and laboratory experiments involving object manipulation, to determine if either one is more‐effective with individual learners or learning groups in a science classroom. Eighty sixth‐grade science‐students were randomly assigned to group or individual conditions and to one of two experimental treatments. Experimental treatments were changed between a first and second posttest. Long‐term retention was evaluated with a third, delayed posttest. Students starting with concept maps showed higher achievement on the delayed posttest than students beginning with the laboratory experiment. No difference was found between students working as individuals or in groups, but a significant interaction between generative learning strategy and grouping condition was revealed. Implications for sequencing generative learning strategies are discussed.     

A Comparison of Concrete and Virtual Manipulative Use in Third‐ and Fourth‐Grade Mathematics

The primary purpose of this classroom experiment was to examine the effectiveness of concrete (hands‐on) manipulatives as compared with virtual (computer‐based) manipulatives on student review of fraction concepts in third grade and introduction of symmetry concepts in fourth grade. A pretest–posttest design was employed with a sample of 91 third‐grade students and 54 fourth‐grade students who were randomly assigned to complete a lesson using either concrete or virtual manipulatives. Students used a variety of manipulative materials during the lessons. Results of the posttest suggest that student learning was unchanged by lesson condition.     

Using Analogies to Improve Elementary School Students' Inferential Reasoning About Scientific Concepts

Various scientific concepts were taught to students in the third through sixth grades. Some children were taught the concepts using instructional analogies. Each analogy explicitly compared the science concept to a more familiar topic. Other children received expository texts not containing analogies. Students were asked to recall the texts and to answer inference questions about the science concepts. Fourth- and sixth-grade students read the texts on their own in Experiment 1. Students who read the analogical text showed higher levels of performance on inference questions than students who received the non-analogical texts. In Experiment 2, texts were read aloud to third- and fifth-grade students. The analogical texts were read once, and the nonanalogical texts were read twice to equate the number of times students were exposed to the general principles governing the domains. As in Experiment 1, students who received the analogical texts demonstrated better inferential reasoning than students who received the non-analogical texts.     

Analysis of proportional reasoning and misconceptions among students with mathematical learning disabilities

We investigated not only the effects of schema-based instruction (SBI) on the mathematical outcomes of seventh-grade students with mathematical learning disabilities (MLD), but also extended prior work to analyze students’ written explanations on open-ended items involving ratio and proportion situations—ratio, proportion, and percent of change problems— to understand the ability to reason about proportions and identify misconceptions. The sample of 338 students with MLD [scored below the 25th percentile on a proportional problem solving (PPS) pretest] was taken from Jitendra, Harwell, Im, et al. (2019), which randomly assigned classrooms to either the SBI or control condition. Students with MLD in SBI classrooms outperformed their counterparts in control classrooms on proportional problem solving and general mathematics problem solving. Similar results, favoring the SBI condition, were found on the open-ended items; however, overall mean scores across pretest, posttest, and delayed posttest were low. Findings provide evidence for the limited understanding of fractional representations of ratios and highlight students’ persistent use of numerical and additive reasoning in explaining their low performance on the open-ended items.     

The Effects of Metacognitive Reflective Assessment on Fifth and Sixth Graders' Mathematics Achievement

The purpose of this experimental study was to investigate the effects of metacognitive reflective assessment instruction on student achievement in mathematics. The study compared the performance of 141 students who practiced reflective assessment strategies with students who did not. A posttest‐only control group design was employed, and results were analyzed by conducting one‐way analysis of variance (ANOVA) and nonparametric procedures. On both a posttest and a retention test, students who practiced reflective strategies performed significantly higher than students who did not use the strategies. A within‐subjects ANOVA was also conducted six weeks following the intervention to assess how the factor of time affected retention levels. No significant difference was found between the posttest and retention test results for the experimental groups or the control group.     

Using Similarities and Differences: A Meta‐Analysis of Its Effects and Emergent Patterns

The purpose of the study was to update previous meta‐analytic findings on the effectiveness of using similarities and differences as an instructional strategy. The strategy includes facilitating student comparison, classification, use of analogies, and use of metaphors. Previously, Marzano, Pickering, and Pollock reported a mean effect size of 1.61. For the present meta‐analysis, literature was searched to locate experimental studies meeting the following inclusion criteria: published between 1998 and 2008; examined effects of facilitating student comparison, classification, use of analogies, and use of metaphors; measured student academic achievement as an outcome; involved students in kindergarten through grade 12; and provided data necessary to compute effect sizes. Based on the eligible research, the overall mean effect size (Hedges' g) was .65, confirming earlier results indicating that using similarities and differences positively influences student achievement. Type of control group, however, moderated the effect. Larger effect sizes were associated with control groups receiving textbook‐guided instruction versus those receiving interactive instruction. Emergent patterns were observed for the positive influence of long‐term instruction, systematic instruction, supportive cuing, and opportunity for reflection and discussion. Results support recommendations to guide students through analogical reasoning about, and classification of, important concepts and relationships in content‐area instruction.     

The Effects of a STEM Intervention on Elementary Students' Science Knowledge and Skills

The purpose of the study was to assess elementary students' science process skills, content knowledge, and concept knowledge after one year of participation in an elementary Science, Technology, Engineering, and Mathematics (STEM) program. This study documented the effects of the combination of intensive professional development and the use of inquiry‐based science instruction in the elementary classroom, including the benefits of using rigorous science curriculum with general education students. The results of the study revealed a statistically significant gain in science process skills, science concepts, and science‐content knowledge by general education students in the experimental group when compared with students in the comparison group. Moreover, teacher participation in the STEM program had a statistically significant impact on students' variability in posttest scores. These interim student performance data support the implementation of rigorous differentiated science curriculum focused on improving science concept, content knowledge, and process skills.     

Evaluating efficacy of environmental education programming

The Clark Fork Watershed Education Program (CFWEP) goals are: (a) increasing students’ understanding of the nature of ecological impacts within their watershed as related to historic mining damage; and (b) increasing students’ sense of stewardship of newly restored landscapes. Data from 2012 to 2016 were evaluated for student knowledge gains (46 trials representing 2,395 student pre‐surveys; 2,409 student post‐surveys). Data from 2013 to 2016 were evaluated for students’ attitudes toward science and disposition toward caring for the environment (38 trials representing 1,479 pre‐surveys; 1,460 post‐surveys). The results of this study support that the program’s goals are being achieved. Students achieved statistically significant gains on knowledge surveys with a 33.4% overall gain pre‐ to posttest (p < 0.0001). Students also moved toward greater positive responses in both attitudes toward science and disposition toward caring for the environment with Cohen’s d effect sizes of “medium effect” for caring toward the environment (d = 0.52) and “small effect” of positive disposition toward science (d = 0.24).     

Teaching Multiple Modes of Representation in Middle‐School Science Classrooms: Impact on Student Learning and Multimodal Use

This quasi‐experimental study investigated how explicit instruction about multiple modes of representation (MMR) impacted grades 7 (n = 61) and 8 (n = 141) students’ learning and multimodal use on end‐of‐unit assessments. Half of each teacher's (n = 3) students received an intervention consisting of explicit instruction on MMR in science discourse, in addition to regular science instruction enhanced by a focus on MMR; comparison groups of students received regular science instruction. Three ordinary least squares regression models used student demographic variables and whether or not students received the intervention to predict students’ (a) gain scores on end‐of‐unit tests, (b) voluntary use of embedded MMR on unit tests, and (c) retention of science knowledge as measured by a state end‐of‐level criterion‐referenced assessment. Analyses showed that explicit instruction on MMR did not make a significant impact on student gain scores, the amount of embeddedness on unit tests, or end‐of‐level scores. However, Models 2 and 3 showed Hispanics and females used MMR more on end‐of‐unit tests than Whites or males, respectively, whether or not they received the intervention. Hispanics and females scored lower than Whites or males, respectively, on end‐of‐level, multiple‐choice assessments. Implications for classroom teachers and educational researchers in relation to these underserved populations are discussed.     

The impact of metacognitive practice and teacher feedback on academic achievement in mathematics

The purpose of this study is to determine the effects of metacognitive strategies and content‐specific feedback on student achievement in high school mathematics. Participants consisted of a convenience sample of students in honors geometry. An analysis of variance with repeated measures was employed to address the research questions. For both the posttest and retention test, students in the experimental group significantly outperformed the students in the comparison group. However, students scored lower in the retention test than the posttest. The findings of this study offer a modest contribution to the body of empirical research on the impact of metacognitive practice and content‐specific feedback on academic achievement at the high school level.     

Relationships between variables in learning and modes of presenting mathematics concepts

The purpose of this study was to investigate relationships between figural and symbolic aptitudes and figural and symbolic modes of presenting mathematics concepts to secondary school students. One hundred and sixty students were measured on 11 aptitudes (five figural, five symbolic, and one semantic) from Guilford's structure‐of‐intellect cube and were randomly assigned to either a figural or symbolic instructional mode for learning the mathematical concept of function. Subjects studied the function concept using one of two sets (figural or symbolic) of programmed instructional materials during three consecutive mathematics classes. Immediately following instruction a learning test was given, which was followed by a retention test 1 week later. Data analysis showed that females scored significantly higher than males on all dependent measures, and their scores were independent of instructional mode. For male students figural instruction was superior to the symbolic mode. Significant relationships were found between instructional mode and the figural aptitude divergent production of figural systems. The symbolic aptitude cognition of symbolic systems was a predictor of success for subjects studying symbolic materials. Cognition of semantic systems was a good predictor of success for students receiving the figural instructional treatment.     

Relationships Between Inquiry‐Based Teaching and Physical Science Standardized Test Scores

This exploratory case study investigates relationships between use of an inquiry‐based instructional style and student scores on standardized multiple‐choice tests. The study takes the form of a case study of physical science classes taught by one of the authors over a span of four school years. The first 2 years were taught using traditional instruction with low levels of inquiry (non‐inquiry group), and the last 2 years of classes were taught by inquiry methods. Students' physical science test scores, achievement data, and attendance data were examined and compared across both instructional styles. Results suggest that for this teacher the use of an inquiry‐based teaching style did not dramatically alter students' overall achievement, as measured by North Carolina's standardized test in physical science. However, inquiry‐based instruction had other positive effects, such as a dramatic improvement in student participation and higher classroom grades earned by students. In additional inquiry‐based instruction resulted in more uniform achievement than did traditional instruction, both in classroom measures and in more objective standardized test measures.     

Planning District‐Wide Professional Development: Insights Gained From Teachers and Students Regarding Mathematics Teaching in a Large Urban District

This paper describes the mechanism used to gain insights into the state of the art of mathematics instruction in a large urban district in order to design meaningful professional development for the teachers in the district. Surveys of close to 2,000 elementary, middle school, and high school students were collected in order to assess the instructional practices used in mathematics classes across the district. Students were questioned about the frequency of use of various instructional practices that support the meaningful learning of mathematics. These included practices such as problem solving, use of calculators and computers, group work, homework, discussions, and projects, among others. Responses were analyzed and comparisons were drawn between elementary and middle school students' responses and between middle school and high school responses. Finally, fifth‐grade student responses were compared to those of their teachers. Student responses indicated that they had fewer inquiry‐based experiences, fewer student‐to‐student interactions, and fewer opportunities to defend their answers and justify their thinking as they moved from elementary to middle school to high school. In the elementary grades students reported an overemphasis on the use of memorization of facts and procedures and sparse use of calculators. Results were interpreted and specific directions for professional development, as reported in this paper, were drawn from these data. The paper illustrates how student surveys can inform the design of professional development experiences for the teachers in a district.     

Applying Mathematical Concepts with Hands‐On,Food‐Based Science Curriculum

This article addresses the current state of the mathematics education system in the United States and provides a possible solution to the contributing issues. As a result of lower performance in primary mathematics, American students are not acquiring the necessary quantitative literacy skills to become successful adults. This study analyzed the impact of the Food, Math, and Science Teaching Enhancement Resource (FoodMASTER) Intermediate curriculum on fourth‐grade students' mathematics knowledge. The curriculum is a part of the FoodMASTER Initiative, which is a compilation of programs utilizing food, a familiar and necessary part of everyday life, as a tool to teach mathematics and science. Students exposed to the curriculum completed a 20‐item researcher‐developed mathematics knowledge exam (intervention n = 288; control n = 194). Overall, the results showed a significant increase in mathematics knowledge from pretest to posttest. These findings suggest that the food‐based science activities provided the students with the context in which to apply mathematical concepts to an everyday experience. Therefore, the FoodMASTER approach was successful at improving students' mathematics knowledge while building a foundation for becoming quantitatively literate adults.     

Student Strategy Choices on a Constructed Response Algebra Problem

A central goal of secondary mathematics is for students to learn to use powerful algebraic strategies appropriately. Research has demonstrated student difficulties in the transition to using such strategies. We examined strategies used by several thousand 8th‐, 9th‐, and 10th‐grade students in five different school systems over three consecutive years on the same algebra problem. We also analyzed connections between their strategies and their success on the problem. Our findings suggest that many students continued to struggle with algebraic problems, even after several years of instruction in algebra. Students did not reflect the anticipated growth toward the consistent use of efficient strategies deemed appropriate in solving this problem. Instead a surprisingly large number of students continued to rely on strategies such as guessing and checking, or offered solutions that were unintelligible or meaningless and not useful to the researchers. Even those students who used algebraic strategies consistently did not show the anticipated improvement of performance that would be expected from several years of continuing to study mathematics.