Student performance and attitudes using personalized mathematics instruction

This study investigated the effects of personalized instruction on the achievement and attitudes of Taiwanese students on two-step mathematics word problems. A total of 136 fourth-graders in a Taiwanese public school participated in the study. Subjects initially completed a Student Survey on which they chose their favorite foods, sports, stores, classmates, and other selections. The most popular items were then used to create personalized math word problems for the pretest, personalized instructional program, and posttest. Subjects were blocked by ability based on their pretest scores and were randomly assigned within ability levels to either a personalized or nonpersonalized version of the print-based instructional program. After finishing the program, subjects completed a student attitude survey and the posttest. A repeated-measures univariate analysis of variance revealed that subjects in the personalized treatment made significantly greater pretest-to-posttest gains than those in the nonpersonalized treatment. Subjects also performed significantly better on the personalized pretest and posttest problems than on the nonpersonalized problems. Personalized subjects and higher-ability students both had significantly more positive attitudes toward the instructional program than did their nonpersonalized and lower-ability counterparts. This research was conducted while he was a doctoral student at Arizona State University.     

The Effects on Retention of Programed Classroom Reviews

Abstract

A group of 150 high-school students were taught introductory vector geometry by either programmed instruction or conventional teacher-directed methods. A measure of anxiety was taken for all subjects; also pretest and posttest measures of competence in vector geometry. Otis-Gamma scores were used to index intelligence. A significant negative correlation was observed between the total group anxiety level and Otis-Gamma scores. The correlations of the individual mode of instruction groups to Otis-Gamma scores were not significantly different from each other. Analysis of Covariance indicated no significant relationship between mode of instruction and learning; level of anxiety and learning; and learning and interaction of anxiety and mode of instruction. Trends were observed that indicate that more experimentation with larger populations and longer periods of instruction by programmed learning devices might prove fruitful.     

Investigating the mechanisms of learning from a constrained preparation for future learning activity

Many studies have shown benefits associated with engaging students in problem-solving activities prior to administering lessons. These problem-solving activities are assumed to activate relevant knowledge and allow students to develop some initial knowledge structures, which support understanding of the lesson. In this paper we report the results of two studies in which we investigated the underlying benefits of engaging in a preparatory activity—setting up experiments without running them or receiving feedback—prior to an interactive computerized lesson on experimental design compared to only engaging in the interactive lesson. We predicted that the seventh-grade participants who demonstrated some initial knowledge of the topic—experimental design—would benefit more from spending the whole time engaged in instructional activities. However, we expected students who did not demonstrate initial knowledge would benefit more from engaging in the preparatory activity, which would allow them to activate or develop initial knowledge that would aid their understanding of the subsequent instruction. The predicted condition by initial knowledge interaction was found in both studies. In Study 1, the benefit of only engaging in the instruction was found only for the lowest-knowledge of students who demonstrated initial knowledge. For students who did not demonstrate some initial knowledge, the benefit of completing the preparatory activity appeared to be due to the development of an understanding of the general goal of the activity rather than of specific knowledge of experimental design. Based on this finding, in Study 2, we investigated an initial goal by condition interaction. In fact, students who did not express an understanding of the task goal on the pretest benefited from engaging in the preparatory activity and students who did benefited more from the instruction. Again, this benefit appeared to be due to students’ development of an appropriate understanding of the task goal during the preparatory activity.     

The effects of hands-on and teacher demonstration laboratory methods on science achievement in relation to reasoning ability and prior knowledge

The present study compared the relative effects of hands-on and teacher demonstration laboratory methods on declarative knowledge (factual and conceptual) and procedural knowledge (problem-solving) achievement. Of particular interest were (a) whether these relationships vary as a function of reasoning ability and (b) whether prior knowledge and reasoning ability predict student achievement. Ninth-grade physical science students were randomly assigned to classes taught by either a hands-on or a teacher demonstration laboratory method. Students' reasoning ability and prior knowledge of science were assessed prior to the instruction. The two instructional methods resulted in equal declarative knowledge achievement. However, students in the hands-on laboratory class performed significantly better on the procedural knowledge test than did students in the teacher demonstration class. These results were unrelated to reasoning ability. Prior knowledge significantly predicted performance on the declarative knowledge test. Both reasoning ability and prior knowledge significantly predicted performance on the procedural knowledge test, with reasoning ability being the stronger predictor.     

The Role of Visual Indicators in Dual Sensory Mode Instruction

Advances in our knowledge of the structure of working memory suggest that under some circumstances, effectively more processing capacity is available to learners if instructional materials use multiple information modes (e.g. auditory and visual) instead of equivalent single mode formats. This paper examined this modality effect from a cognitive load perspective in three experiments using geometry instruction. In accordance with cognitive load theory, it was predicted that the additional processing capacity provided in an audio/visual format would only enhance learning if mental resources were not devoted to extensive visual based search in order to coordinate auditory and visual information. Using two different areas of geometry, Experiments 1 and 2 found that if visual search was clearly high, then audio‐visual instruction was only beneficial if visual indicators in the form of electronic flashing were incorporated into the instructional format. Under high search conditions, a standard audio/visual format without the aid of flashing proved no better than visual only instruction. Experiment 3 attempted to clarify earlier results by using instructional materials trivially low in visual search. Data indicated that a standard, audio‐visual format resulted in superior learning to a visual only format. There was no beneficial effect of electronic flashing in Experiment 3, suggesting that visual indicators were not necessary in areas of low visual search. It was concluded that cognitive load as determined by visual search established the effectiveness of visual indicators.     

Evaluation of the effectiveness of remedial reading courses at community colleges

Limited research is available on the effectiveness of remedial college courses. The present study evaluated the effectiveness of two instructional approaches for developmental reading courses at a community college in the southwestern United States. The instructional approaches were traditional textbook-based instruction and strategic-reading instruction. The sample consisted of 64 participants. Half (n = 32) of the participants were in the control group (n = 32) and received traditional textbook-based instruction; the other half (n = 32) were in the experimental group and received strategic-reading instruction. All participants completed the Nelson-Denny Reading Form G at the beginning of the semester and then again 12 weeks later, at the end of the semester. The data were then statistically analyzed to identify any relationships between the type of instruction and the differences between the students’ pretest and posttest scores. The null hypotheses for H1 and H2 were rejected because the results of the paired t tests indicated that both traditional textbook-based instruction and strategic-reading instruction have a statistically significant positive effect on students’ performance on the test. A one-way ANOVA was conducted to determine whether the pretest/posttest difference scores varied based on the type of instruction. The findings showed that both methods of instruction were equally effective in improving the reading comprehension skills of community college students in a developmental reading course. Based on the findings, community college leaders are encouraged to assess the effectiveness of the instructional methods used in developmental courses to ensure at-risk community college students are receiving the most beneficial instruction.     

The role of visualization in learning from computer‐based images

Among the sciences, the practice of geology is especially visual. To assess the role of spatial ability in learning geology, we designed an experiment using: (1) web‐based versions of spatial visualization tests, (2) a geospatial test, and (3) multimedia instructional modules built around QuickTime Virtual Reality movies. Students in control and experimental sections were administered measures of spatial orientation and visualization, as well as a content‐based geospatial examination. All subjects improved significantly in their scores on spatial visualization and the geospatial examination. There was no change in their scores on spatial orientation. A three‐way analysis of variance, with the geospatial examination as the dependent variable, revealed significant main effects favoring the experimental group and a significant interaction between treatment and gender. These results demonstrate that spatial ability can be improved through instruction, that learning of geological content will improve as a result, and that differences in performance between the genders can be eliminated.     

Visualizing Without Vision at the Microscale: Students With Visual Impairments Explore Cells With Touch

Science instruction is typically highly dependent on visual representations of scientific concepts that are communicated through textbooks, teacher presentations, and computer-based multimedia materials. Little is known about how students with visual impairments access and interpret these types of visually-dependent instructional materials. This study explored the efficacy of new haptic (simulated tactile feedback and kinesthetics) instructional technology for teaching cell morphology and function to middle and high school students with visual impairments. The study examined students’ prior experiences learning about the cell and cell functions in classroom instruction, as well as how haptic feedback technology impacted students’ awareness of the 3-D nature of an animal cell, the morphology and function of cell organelles, and students’ interest in the haptic technology as an instructional tool. Twenty-one students with visual impairment participated in the study. Students explored a tactile model of the cell with a haptic point probe that allowed them to feel the cell and its organelles. Results showed that students made significant gains in their ability to identify cell organelles and found the technology to be highly interesting as an instructional tool. The need for additional adaptive technology for students with visual impairments is discussed.This material is based upon work supported by the National Science Foundation under Grant Numbers 0354578 and 0411656     

Instructional Design of Web-based Simulations for Learners with Different Levels of Spatial Ability

This study, the purpose of which is to determine an efficient instructional design for different levels of spatial abilities, investigates: (1) the main effects of visual treatments in simulation environments on comprehension and the transfer of chemistry knowledge and (2) the interaction effects of the visual treatments and the learners’ spatial abilities. Two hundred and fifty-seven middle school students were randomly assigned to two experimental conditions. The results indicated: (1) a significant main effect of the treatment condition for both comprehension (p < 0.001) and transfer (p < 0.005) tests, where the treatment group performed better than the control group and (2) a significant interaction effect (p < 0.05) between the instructional treatment conditions and level of spatial ability for the comprehension test: Low spatial ability learners performed better in the treatment group than in the control group, whereas high spatial ability learners performed similarly regardless of the instructional conditions.     

The effect of different chunking strategies in complementing animated instruction

The purpose of this exploratory and small‐scale study was to examine the instructional effects of different chunking strategies used to complement animated instruction in terms of facilitating achievement of higher order learning objectives. Eighty‐five students were randomly assigned to three treatment groups: animated program instruction, simple visual‐text (static images and verbal explanation) chunked animated program instruction and the animated complex visual‐text chunked program instruction. The difference between simple and complex chunked instructions is the content. Simple chunks only deal with one content area while the complex chunks explain two or more related content areas. Students interacted with their respective web‐based instructional treatments and completed four criterion measures. Results (ANOVA) indicated that significant differences in achievement were found to exist in facilitating higher order learning objectives when chunking strategies were specifically designed and positioned to complement the animated instruction. Results also indicated that complex chunking is more effective in reducing the cognitive load present in an animated instructional environment, and that students need prerequisite knowledge before being able to profit from animated instruction designed to facilitate higher order learning outcomes.     

What We are Failing to Measure in Education

Abstract

This study compared the effectiveness of computer-based handwriting exercises (Lally &; Macleod, 1982) with traditional instruction in the remediation of handwriting difficulties. Thirty-six students in Grades 4 to 6 with poor handwriting received one of three different instructional methods. In Method 1, students performed computer-based handwriting exercises using the Apple Graphics Tablet, an electronic pen, and the computer monitor to track visible and invisible letters. In Method 2, conventional instruction was provided using pencil, paper, plastic overlays, and felt pens to copy and trace letter forms. In Method 3, conventional instruction using tracing and copying was provided through the computer using the Touch Window and a stylus pen. Several measures were used to assess improvement in performance. The results indicated that the traditional group using pen and paper demonstrated significant improvements from pretest to posttest on five measures, and the computer groups on two measures. The findings suggest that traditional instruction using pen and paper is the more effective treatment method.     

Some Effects of a Five-Year Developmental Experiment Sponsored by a Private Social Agency in a Public School

The present study investigated the relative validity of the conventional pretest-posttest design and the retrospective pretest-posttest design using self-report measures as outcome criteria. As predicted the experimental training in Seeing Problems Strategy was effective in improving subjects’ task performance. Traditional self-report pre-post comparison did not reflect this actual change of performance, whereas the retrospective self-report approach did. Comparison of pretest mean scores and retrospective pretest mean scores indicated that subjects initially over-estimated their performance. This result represents further evidence on the validity of the response-shift notion as introduced by Howard et al. (8) and supports earlier research in showing that the retrospective pretest is a valid means to control for this source of contamination.     

Fraction Instruction for Students with Mathematics Disabilities: Comparing Two Teaching Sequences

Abstract. This study investigated the effects of teaching middle school students with mathematics disabilities equivalent fraction concepts and procedures using the concrete‐representational‐abstract (CRA) instructional sequence or the representational‐abstract (RA) instructional sequence. Twenty‐six students formed the CRA group, and 24 students formed the RA group. The two treatment groups received carefully sequenced instruction over 10 lessons. The only difference between the two treatment groups was that the CRA group used concrete manipulative devices for the first three lessons while the RA group used representational drawings. Analyses of the data indicated that students in both treatment groups improved overall in their understanding of fraction equivalency from pretest to posttest. On all achievement measures, students in the CRA group had overall higher mean scores than did students in the RA group. Implications for classroom instruction and suggestions for further research are discussed.     

Examining Child and Word Characteristics in Vocabulary Learning of Struggling Readers

Although instruction has been shown to be effective at increasing vocabulary knowledge and comprehension, factors most important for promoting the acquisition of novel vocabulary are less known. In addition, few vocabulary studies have utilized models that simultaneously take into account child-level, word-level, and instructional factors to better understand the acquisition of novel vocabulary from informational text. Sixty-eight children with reading difficulties in Grades 3–5 were randomly assigned to either vocabulary strategy instruction or traditional comprehension instruction with both groups reading the same set of expository texts. Crossed random-effects models were used to predict item-level variance in vocabulary acquisition. Results indicated main effects for condition favoring vocabulary instruction, child-level predictors (vocabulary and knowledge of the content), and word-level factors (frequency and imageability). One interaction was significant, indicating that students with higher vocabulary scores were more likely to do better when provided vocabulary instruction than students with lower prior vocabulary.     

Conceptual Teaching Through Multimediated Self‐instruction: a study with professional nursing students

A multimediated self‐instructional program was developed to introduce new concepts and techniques in an emerging area of nursing education. Two field testings of this instructional program were conducted with nursing students enrolled in a university. The results indicated that cognitive achievement did not differ between students taught by multimediated self‐instruction and lecture‐discussion. Students were able to effectively learn new nursing content through both teaching methods. There was no significant relationship found between students’ opinions about the instructional method experienced and their cognitive achievement. Students expressed some unfavourable feelings towards multimediated self‐instruction, possibly related to their general lack of prior experience with independent study or videotaped instruction. The effective use of multimediated self‐instruction is discussed.     

Cognitive styles and instructional design in university learning

Changes in conceptualization and measurement of the verbalizer–visualizer dimension led us to re-examine the hypothesis that students learn best when instructional material matches their cognitive style. First-year psychology university students (n = 41) studied information on three personality theories presented in text only, text+picture, or text+schematic diagram format, demonstrated recall and comprehension of each theory, and completed an adapted cognitive styles questionnaire. Spatial and object visual scale scores were not correlated, but the latter showed a significant though relatively weak negative correlation with verbal scale scores. Recall could be predicted from students' verbal and object visual scores when presentation format matched these cognitive styles. All three styles significantly predicted students' comprehension, but only when they matched the presentation format. The results support the distinction between spatial and object visual styles, and provide evidence that learning outcomes improve when instructional material is matched to students' cognitive styles.     

Differential Improvement in Student Understanding of Mathematical Principles Following Formative Assessment Intervention

ABSTRACT

The authors describe results from a study of a middle school mathematics formative assessment strategy. They employed a randomized, controlled design to address the following question: Does using our strategy improve student performance on assessments of key mathematical ideas relative to a comparison group? Eighty-five teachers and 4,091 students were included. Students took a pretest and a transfer measure at the end of the year. Treatment students completed formative assessments. Treatment teachers had exposure to professional development and instructional resources. Results indicated students with higher pretest scores benefited more from the treatment compared to students with lower pretest scores. In addition treatment students significantly outperformed control students on distributive property items. This effect was larger as pretest scores increased. Results, limitations, and future directions are discussed.     

What are the relative effects of reasoning ability and prior knowledge on biology achievement in expository and inquiry classes?

What factor(s) influence the likelihood a student will succeed in college biology? Some researchers have found the primary determinant to be the student's prior knowledge of biology, while others have found it to be reasoning ability. Perhaps the ability of these factors to predict achievement depends on the instructional method employed. Expository instruction focuses primarily on facts and concepts. Therefore, perhaps the best predictor of achievement in expository classes is domain-specific prior knowledge. Inquiry instruction focuses more on how science is done, i.e., on scientific processes; therefore, perhaps the best predictor in inquiry classes is reasoning ability. This study was designed to test these hypotheses. Students enrolled in a nonmajors community college biology course were pretested to determine reasoning ability and prior knowledge. The number of previous biology courses was also recorded as an indicator of prior knowledge. After a semester of either expository or inquiry (learning-cycle) instruction, students took a comprehensive final examination. Reasoning ability but not prior knowledge or number of previous biology courses accounted for a significant amount of variance in final examination score in both instructional methods and with semester examination and quiz scores in inquiry classes. This suggests that reasoning ability limits achievement more than prior knowledge among these biology students, whether they are enrolled in expository or inquiry classes. Reasoning ability explained more of the variance in final examination scores for students enrolled in expository classes (18.8%) than in inquiry classes (7.2%). The reason for this is not clear, but significant improvements in reasoning were found in the inquiry but not in the expository classes. These improvements were accompanied by significant differences in achievement in the inquiry classes. Perhaps the reasoning improvement facilitated the better and more equal achievement for students in the inquiry classes, thus reducing the correlation between initial reasoning ability and final achievement. © 1998 John Wiley & Sons, Inc. J Res Sci Teach 35: 89-103, 1998.     

The effects of metaphorical interface on germane cognitive load in Web-based instruction

The purpose of this study was to examine the effects of a metaphorical interface on germane cognitive load in Web-based instruction. Based on cognitive load theory, germane cognitive load is a cognitive investment for schema construction and automation. A new instrument developed in a previous study was used to measure students?? mental activities of schema construction and automation supported by structural cues in a metaphorical interface environment. Eighty participants were randomly assigned to one of two types of instructional units with the same instructional content and different interface types (i.e., non-metaphorical interface and metaphorical interface). The results indicated that germane cognitive load positively affected learning performance while there was no relationship between germane cognitive load and students?? prior knowledge. A metaphorical interface enhanced learners?? germane cognitive load and learning performance, and both germane cognitive load and prior knowledge similarly contributed to learning performance. The findings provide implications for the advancement of cognitive load theory and the practice of instructional development.     

Instructional influence of a molecular-level pictorial presentation of matter on students' conceptions and problem-solving ability

The instructional influence upon students' conceptions and problem-solving ability of presenting pictures at the molecular level when introducing chemistry concepts and solving chemistry problems was investigated. Before instruction, the Group Assessment of Logical Thinking (GALT) was administered and its score was used as a covariate. For the treatment group, 31 pictorial materials were used during 21 hours of Korean academic high school chemistry classes. For the control group, traditional instruction was used. Six classroom observations (1 hour each in duration) for each group were made. After instruction, the Chemistry Conceptions Test, and the Chemistry Problem-Solving Test (CPST) consisting of 10 pairs of pictorial and algorithmic problems, were administered. Korean students' success on pictorial questions from the CPST was higher than that reported in the literature for college students; however, Korean students did very poorly on algorithmic questions. The GALT score was significantly correlated with students' conceptions and problem-solving ability. Analysis of covariance results indicated that instruction with pictorial materials at the molecular level helped students construct more scientifically correct conceptions than traditional instruction. However, use of the pictorial materials had no facilitating effect on problem-solving ability. © 1997 John Wiley & Sons, Inc. J Res Sci Teach 34: 199–217, 1997.