Analyzing difficulties with mole-concept tasks by using familiar analog tasks

This study was conducted to determine which skills and concepts students have that are prerequisites for solving moles problems through the use of analog tasks. Two analogous tests with four forms of each were prepared that corresponded to a conventional moles test. The analogs used were oranges and granules of sugar. Slight variations between test items on various forms permitted comparisons that would indicate specific conceptual and mathematical difficulties that students might have in solving moles problems. Different forms of the two tests were randomly assigned to 332 high school chemistry students of five teachers in four schools in central Indiana. Comparisons of total test score, subtest scores, and the number of students answering an item correctly using appropriate t-test and chi square tests resulted in the following conclusions: (1) the size of the object makes no difference in the problem difficulty; (2) students understand the concepts of mass, volume, and particles equally well; (3) problems requiring two steps are harder than those requiring one step; (4) problems involving scientific notation are more difficult than those that do not; (5) problems involving the multiplication concept are easier than those involving the division concept; (6) problems involving the collective word “bag” are easier to solve than those using the word “billion”; (7) the use of the word “a(n)” makes the problem more difficult than using the number “1”.     

Assessing dyslexia in Finnish high-school students: a pilot study

A pilot study concerning Finnish dyslexics at senior high school (lukio), for 16–19-year-olds, is reported. The phonological processing deficit was assumed to underlie dyslexia in these late teenage subjects. The regular nature of Finnish orthography was taken into consideration. Four tasks were introduced to a total of 32 students, of whom 15 were dyslexics and 17 were controls. The controls outperformed the dyslexics on three tasks: text recoding, pseudoword recoding and pseudoword spelling. On the text spelling task, both groups performed equally well. In the correlational analysis of all subjects, both recoding tasks showed high correlations with selfestimated school achievement in language-related subjects. The recoding time appeared to be more important than the number of reading errors. These preliminary results suggest that the three tasks, capable of discriminating dyslexics, might be useful in the development of an adult dyslexia test in Finnish.     

Problem-solving skills of high school chemistry students

What strategies do high school students use when solving chemistry problems? The purpose for conducting this study was to determine the general problem-solving skills that students use in solving problems involving moles, stoichiometry, the gas laws, and molarity. The strategies were examined for success in problem solving for 266 students of varying proportional reasoning ability, using interviews incorporating the think-aloud technique. Data were coded using a scheme based on Polya's heuristics. Results indicated that successful students and those with high proportional reasoning ability tended to use algorithmic reasoning strategies more frequently than nonsuccessful and low proportional reasoning students. However, the majority of all students solved the chemistry problems using only algorithmic methods, and did not understand the chemical concepts on which the problems were based.     

The differential effects of task complexity on domain-specific and peer assessment skills

In this study the relationship between domain-specific skills and peer assessment skills as a function of task complexity is investigated. We hypothesised that peer assessment skills were superposed on domain-specific skills and will therefore suffer more when higher cognitive load is induced by increased task complexity. In a mixed factorial design with the between-subjects factor task complexity (simple, n?=?51; complex, n?=?59) and within-subjects factor task type (domain-specific, peer assessment), secondary school students studied four integrated study tasks, requiring them to learn a domain-specific skill (i.e. identifying the six steps of scientific research) and to learn how to assess a fictitious peer performing the same skill. Additionally, the students performed two domain-specific test tasks and two peer assessment test tasks. The interaction effect found on test performance supports our hypothesis. Implications for the teaching and learning of peer assessment skills are discussed.     

Diagrammatic Literacy in Secondary Science Education

Students in secondary science education seem to have difficulties with understanding diagrams. The present study focused on explanatory factors that predict students’ difficulties with process diagrams, i.e., diagrams that describe a process consisting of components that are related by arrows. From 18 compulsory national Biology exams of secondary school pre-university students, all process diagram tasks (n?=?64) were included in corpus. Features of the task, student, and diagram were related to the difficulty of that particular task, indicated by the cohort mean exam score. A hierarchical regression analysis showed main effects for (1) the cognitive task demand, (2) the familiarity of the components, and (3) the number of components in a diagram. All these main effects were in the expected direction. We also observed interactions. Within the category of tasks with a high cognitive demand, tasks about a diagram of which students have low prior content knowledge were more difficult than tasks about a diagram of which students have high prior content knowledge. Tasks with a high cognitive demand about a diagram with familiar arrows were, surprisingly, more difficult than tasks with a high cognitive demand about a diagram with unfamiliar arrows. This latter finding might be attributed to compensation for task difficulty by the large number of components in the diagrams involved. The final model explained 46 % of the variance in exam scores. These results suggest that students have difficulties (1) with tasks that require a deeper understanding when the content is new, (2) with diagrams that use unfamiliar component conventions, and (3) with diagrams that have a small number of components and are therefore probably more abstract.     

Reading,syntactic, and working memory skills of bilingual Portuguese-English Canadian children

The purpose of the study was to examine the nature of language, memory, and reading skills of bilingual students and to determine the relationship between reading problems in English and reading problems in Portuguese. The study assessed the reading, language, and memory skills of 37 bilingual Portuguese-Canadian children, aged 9–12 years. English was their main instructional language and Portuguese was the language spoken at home. All children attended a Heritage Language Program at school where they were taught to read and write Portuguese. The children were administered word and pseudoword reading, language, and working memory tasks in English and Portuguese. The majority of the children (67%) showed at least average proficiency in both languages. The children who had low reading scores in English also had significantly lower scores on the Portuguese tasks. There was a significant relationship between the acquisition of word and pseudoword reading, working memory, and syntactic awareness skills in the two languages. The Portuguese-Canadian children who were normally achieving readers did not differ from a comparison group of monolingual English speaking normally achieving readers except that the bilingual children had significantly lower scores on the English syntactic awareness task. The bilingual reading disabled children had similar scores to the monolingual reading disabled children on word reading and working memory but lower scores on the syntactic awareness task. However, the bilingual reading disabled children had significantlyhigher scores than the monolingual English speaking reading disabled children on the English pseudoword reading test and the English spelling task, perhaps reflecting a positive transfer from the more regular grapheme phoneme conversion rules of Portuguese. In this case, bilingualism does not appear to have negative consequences for the development of reading skills. In both English and Portuguese, reading difficulties appear to be strongly related to deficits in phonological processing.     

Working memory performance of Italian students with foreign language learning difficulties

It has been suggested that the ability to learn a foreign language is related to working memory. However, there is no clear evidence about which component of working memory may be involved.Two experiments investigated working memory problems in groups of seventh and eighth grade Italian children with difficulties in learning English as a second language. They were compared with control groups of children matched for age, education, school, and intelligence who differed for foreign language learning ability.Experiment 1 focused on clarifying how modality-specific the memory problem of children with a foreign language learning difficulty (FLLD) is. Verbal working memory tasks (forward and backward digit span) were proposed together with visuospatial working memory (VSWM) tasks. Groups showed a significant difference only in the more passive verbal working memory task, that is, the forward digit span.Experiment 2 focused on clarifying how central the verbal working memory problem of students with an FLLD is. A nonword repetition task and an Italian version of the listening span test were proposed. Groups differed significantly in both tasks. However, differences in the listening span test disappeared when nonword repetition performance was partialed out. It was concluded that a difficulty in learning a foreign language is mainly related to the more passive aspects of verbal working memory, typically associated with the articulatory loop.     

Modifying Negative Attitudes Towards School Work Through Group Contingencies

Teaching a class of secondary school students can be either an exciting or a frustrating experience. Some students tend to be enthusiastic and self-motivated when engaged in certain learning tasks, but the evidence for poor motivation and a lack of enthusiasm is also present. The task of teaching demands that we should not lose sight of the fact that one of our primary responsibilities is to provide effective academic instruction in our classrooms. When we encounter some classroom problems such as negative attitudes towards school work, we should therefore not dismiss the difficulties as insurmountable, nor should we assume that because of their age, behaviour modification procedures will not be effective for secondary school students.     

Children's insecure representations of the interparental relationship and their school adjustment: the mediating role of attention difficulties

This study examined the role of attention difficulties as a mediator of associations between children's insecure representations of the interparental relationship and their school adjustment in a sample of two hundred and sixteen 6-year-old children. Consistent with hypotheses, findings from structural equation models indicated that observer ratings of children's insecure representations of interparental relationships in a story completion task predicted computerized task assessments and parent reports of children's attention difficulties 1 year later. Children's attention difficulties, in turn, were associated with concurrent levels of school problems and increases in school problems over a 1-year period as indexed by teacher reports. Attention difficulties accounted for an average of 34% of the association between insecure internal representations and school problems.     

Alternative assessment of high school laboratory skills

The purpose of this study was to develop and validate instruments that will assess the laboratory skills of students completing high school science courses. In each of the science areas (biology, chemistry, and physics), tests were developed around six laboratory tasks. Each test used a two-part format with a total time of 80 minutes. Students had to plan an investigation, collect and organize appropriate data, and formulate conclusions based on calculations and graphs. A different test was developed for 12th-grade students not enrolled in a science course. This test consisted of a series of stations where students conducted a short activity that was presented to them. Over 1000 students from 32 Ohio schools formed the sample for this study. Data are presented by skill and by task. In addition, analysis for gender and school effects is included.     

Significance of limited English proficiency and cultural capital to the performance in science of Chinese-Australians

This investigation of Chinese-Australian students and their learning of chemistry indicates that despite students' efforts to learn chemistry with understanding, difficulties in speaking and writing English were factors that limited performance. An hegemony based on the use of English to learn chemistry and assess performance placed students with limited English proficiency (LEP) in a position of potential failure. However, as might be expected of voluntary minorities, LEP Chinese students endeavored to use English to make sense of what happened in class and to demonstrate the extent to which they had learned chemistry. At the same time, they employed Cantonese in their oral and written discourse and exhibited high levels of commitment to learn, effort, and task orientation in and out of school. These practices were consistent with those expected by the teacher and that typically occurred in schools in their native Hong Kong. The study supports the assertions that learning chemistry can be facilitated when LEP students are provided opportunities to fully employ their native language tools and when the microculture of the classroom fits the macroculture of life outside the classroom. © 1996 John Wiley & Sons, Inc.     

Science Background and Spatial Abilities in Men and Women

Deficits in spatial abilities, particularly mental rotation (MR), may contribute to women's avoidance of areas of study that rely on MR, including chemistry. Women who do experience success in chemistry may do so because they have good MR skills. We examined MR ability, assessed by the Purdue Visual Rotations Test (PVRT; Bodner and R. B. (1997)) in three groups of students: those with no college science background, those with a limited college science background that did not include organic chemistry, and those with more extensive science background including organic chemistry. Men and women with extensive background that included organic chemistry performed equally on the MR task, as did those students who had no college science background. However, men outperformed women on the MR task if they had limited science training, although this effect was mediated by the total number of chemistry courses taken. Self-reports of competence on the task were positively related to MR ability, but neither self-described effort nor other background variables (such as experience with spatial tasks and participation in athletics) were important to MR. Grades in science courses were not related to MR capability for any group of students. Our results suggest that while women often show a lesser ability with MR tasks, this deficit may not be an important contribution to women's tendency to avoid the physical sciences.     

Students' Ideas about Reaction Rate and its Relationship with Concentration or Pressure

This cross‐sectional study identifies key conceptual difficulties experienced by upper secondary school and pre‐service chemistry teachers (N = 191) in the area of reaction rates. Students' ideas about reaction rates were elicited through a series of written tasks and individual interviews. In this paper, students' ideas related to reaction rate and its relationship with concentration or pressure are discussed. Evidence is presented to support the following claims. First, school students tended to use “macroscopic” modelling rather than using “particulate” and/or “mathematical” modelling. By contrast, undergraduates were more likely to provide explanations based upon theoretical models and entities within established chemical ideas. Nevertheless, second, they had conceptual difficulties in making transformation within and across different theoretical models. Finally, students did not generally use a scientifically acceptable concept of reaction rate across contexts. Although an acceptable concept may have been used in one context, incorrect ideas may, nonetheless, have been used in other contexts. However, undergraduates' responses were less affected by context. Several conceptual difficulties exhibited by school students persisted among undergraduates. Some possible implications for planning the curriculum and teaching are proposed in the light of the results.     

Fluid/spatial and crystallized intelligence in relation to domain-specific working memory: A latent-variable approach

Fluid/spatial intelligence, crystallized intelligence and their relationships to verbal and visuospatial working memory (WM) were studied. A total of 120 Finnish Air Force recruits participated in this study. Fluid/spatial intelligence was assessed using four different tasks, while crystallized intelligence was defined with the help of test scores of Finnish upper secondary school National Matriculation Tests in three different academic subjects and one additional Verbal Relations task. Complex WM span tasks were used to measure visuospatial and verbal WM capacities. Structural equation modeling indicated that verbal WM was related to crystallized intelligence when both WM tasks were included in the model, whereas performance on the visuospatial WM task was related to fluid/spatial intelligence, but not to crystallized intelligence. Verbal WM was not related to fluid intelligence when used as a single WM predictor. The results indicate that verbal WM might be related to verbal ability and learning at school, while visuospatial WM is relatively strongly related to nonverbal reasoning and spatial visualization. The current results further suggest that WM capacity is not a unitary system.     

Understanding STEM-focused high school students’ perceptions of task importance: The role of “standing out” and “fitting in” in mathematics class

One theoretical extension of Optimal Distinctiveness Theory (ODT;  and ) is that individuals will work toward the satisfaction of their own social identity needs for differentiation (standing out) and assimilation (fitting in). Because these needs serve as driving forces behind the attitudes people adopt, and the behaviors they enact, the motivational properties of these needs are likely to be manifest in achievement contexts. Bridging ODT and Expectancy-Value Theory, this article examines the prediction that academic tasks are seen by students as more important when they contribute to students’ ability to stand out (task differentiation) from and fit in (task assimilation) with their classmates. This prediction was supported among an ethnically diverse sample of STEM-focused high school students who rated the importance of 18 mathematics-related academic tasks. Additional analyses demonstrated that the association between task assimilation and task importance was stronger for students who perceived their academic learning environment to be performance-focused (performance goal structure). There also was a significant interaction between task differentiation and task assimilation, such that the association between task assimilation and task importance attenuated at higher levels of task differentiation. The present study is one of the few investigations to assess how students’ valuing within a single academic domain might fluctuate from one academic task to the next (e.g., taking notes versus working out problems on the board). The Discussion addresses the theoretical and practical significance of acknowledging differentiation and assimilation as vehicles for motivating students in the classroom.     

Analyzing Mathematical Tasks: A Catalyst for Change?

In this study we investigate a strategy for engaging high school mathematics teachers in an initial examination of their teaching in a way that is non-threatening and at the same time effectively supports the development of teachers’ pedagogical content knowledge [Shulman (1986). Educational Researcher, 15(2), 4–14]. Based on the work undertaken by the QUASAR project with middle school mathematics teachers, we engaged a group of seven high school mathematics teachers in learning about the Levels of Cognitive Demand, a set of criteria that can be used to examine mathematical tasks critically. Using qualitative methods of data collection and analysis, we sought to understand how focusing the teachers on critically examining mathematical tasks influenced their thinking about the nature of mathematical tasks as well as their choice of tasks to use in their classrooms. Our research indicates that the teachers showed growth in the ways that they consider tasks, and that some of the teachers changed their patterns of task choice. Further, this study provides a new research instrument for measuring teachers’ growth in pedagogical content knowledge. An earlier version of this paper was presented at the American Educational Research Association Annual Meeting, New Orleans, LA, April 2002.     

Mathematical thinking in second-grade children with different forms of LD

Based on their performance on a standardized achievement test, second-grade children (N = 49) were classified as having mathematics difficulties with normal reading achievement (MD only), both mathematics and reading difficulties (MD/RD), reading difficulties with normal mathematics achievement (RD only) and normal mathematics and reading achievement (NA). Each child was given a series of tasks so that we might assess their thinking across four areas of mathematics: number facts, story problems, place value, and written calculation. Children with MD/RD performed significantly worse than NA children in most areas of mathematical thinking, whereas children with MD only performed worse than NA children only on complex story problems. The MD-only group outperformed the MD/RD group on story problems and written calculation. No significant differences were found between the RD-only and NA groups on any of the tasks. The results suggested that among children with mathematics difficulties, the MD/RD subgroup is distinct from the MD-only subgroup, with the former being characterized by pervasive deficiencies in mathematical thinking and the latter by more specific deficits in problem solving.