A combined approach to strengthen children’s scientific thinking: direct instruction on scientific reasoning and training of teacher’s verbal support

Inquiry-based lessons have been demonstrated to improve children’s scientific thinking (i.e. reasoning abilities and domain-specific knowledge). Although empirical evidence shows that inquiry-based learning requires instruction, research comes from two approaches that have not been bridged yet: direct instruction of scientific reasoning and teacher training of verbal support. We investigated how these two types of instruction separately or combined strengthened children’s scientific thinking by comparing four conditions: baseline, direct instruction, verbal support, and a combined approach. Effectiveness of an inquiry-based lesson series on scientific reasoning abilities, vocabulary, and domain-specific knowledge (near and far transfer) were studied among 301 fourth graders. Results showed that both approaches strengthened different components of scientific reasoning abilities, and that a combination of instructions was most effective for scientific reasoning abilities, vocabulary, and domain-specific knowledge. Domain-specific knowledge acquisition was strengthened only when both instructions were provided. It can thus be concluded that each type of instruction has unique contributions to children’s science learning and that these instructions complement each other. Our study thus showed that inquiry-based lesson series when preceded by direct instruction of scientific reasoning and scaffolded with verbal support are most effective.     

Scientific reasoning in elementary school children: Assessment and relations with cognitive abilities

The primary goal of this study was the broad assessment and modeling of scientific reasoning in elementary school age. One hundred fifty-five fourth graders were tested on 20 recently developed paper-and-pencil items tapping four different components of scientific reasoning (understanding the nature of science, understanding theories, designing experiments, and interpreting data). As confirmed by Rasch analyses, the scientific reasoning items formed a reliable scale. Model comparisons differentiated scientific reasoning as a separate construct from measures of intelligence and reading skills and revealed discriminant validity. Furthermore, we explored the relationship between scientific reasoning and the postulated prerequisites inhibitory control, spatial abilities and problem-solving skills. As shown by correlation and regression analyses, beside general cognitive abilities (intelligence, reading skills) problem-solving skills and spatial abilities predicted performance in scientific reasoning items and thus contributed to explaining individual differences in elementary school children's scientific reasoning competencies.     

Parsing the notion of algebraic thinking within a cognitive perspective

There is a growing consensus that algebra is an important aspect of mathematics teaching and learning and several abilities are required in order students to have successful performance in algebra. The present study uses insights from the domain of psychology to enrich what is currently known in the domain of mathematics education about the relationship of algebraic thinking with abilities involved in fundamental cognitive processes. In total, 190 students between the ages of 13–17 years old were tested through two tests. The first test addressed four types of cognitive systems which are responsible for the representation and processing of different types of relations in the environment: the spatial-imaginal, the causal-experimental, the qualitative-analytic and the verbal-propositional. The second test addressed algebraic thinking. The results support the key role of the four types of cognitive processes in students’ algebraic thinking. The results also suggest that abilities involved in the four types of cognitive processes predict algebraic thinking abilities, irrespective of the age of the students.     

The Effectiveness of Interacting with Scientific Animations in Chemistry Using Mobile Devices on Grade 12 Students’ Spatial Ability and Scientific Reasoning Skills

The purpose of the current study was to investigate the effectiveness of interacting with animations using mobile devices on grade 12 students’ spatial and reasoning abilities. The study took place in a grade 12 context in Oman. A quasi-experimental design was used with an experimental group of 32 students and a control group of 28 students. The experimental group studied chemistry using mobile tablets that had a digital instructional package with different animation and simulations. There was one tablet per student. A spatial ability test and a scientific reasoning test were administered to both groups prior and after the study, which lasted for 9 weeks. The findings showed that there were significant statistical differences between the two groups in terms of spatial ability in favour of the experimental group. However, there were no differences between the two groups in terms of reasoning ability. The authors reasoned that the types of animations and simulations used in the current study featured a wide range of three-dimensional animated illustrations at the particulate level of matter. Most probably, this decreased the level of abstractness that usually accompanies chemical entities and phenomena and helped the students to visualize the interactions between submicroscopic entities spatially. Further research is needed to decide on types of scientific animations that could help students improve their scientific reasoning.     

Performance on Middle School Geometry Problems With Geometry Clues Matched to Three Different Cognitive Styles

ABSTRACT— This study investigated the relationship between 3 ability‐based cognitive styles (verbal deductive, spatial imagery, and object imagery) and performance on geometry problems that provided different types of clues. The purpose was to determine whether students with a specific cognitive style outperformed other students, when the geometry problems provided clues compatible with their cognitive style. Students were identified as having a particular cognitive style when they scored equal to or above the median on the measure assessing this ability. A geometry test was developed in which each problem could be solved on the basis of verbal reasoning clues (matching verbal deductive cognitive style), mental rotation clues (matching spatial imagery cognitive style), or shape memory clues (matching object imagery cognitive style). Straightforward cognitive style–clue‐compatibility relationships were not supported. Instead, for the geometry problems with either mental rotation or shape memory clues, students with a combination of both verbal and spatial cognitive styles tended to do the best. For the problems with verbal reasoning clues, students with either a verbal or a spatial cognitive style did well, with each cognitive style contributing separately to success. Thus, both spatial imagery and verbal deductive cognitive styles were important for solving geometry problems, whereas object imagery was not. For girls, a spatial imagery cognitive style was advantageous for geometry problem solving, regardless of type of clues provided.     

Enhancing the Induction Skill of Deaf and Hard-of-Hearing Children with Virtual Reality Technology

Many researchers have found that for reasoning and reaching a reasoned conclusion, particularly when the process of induction is required, deaf and hard-of-hearing children have unusual difficulty. The purpose of this study was to investigate whether the practice of rotating virtual reality (VR) three-dimensional (3D) objects will have a positive effect on the ability of deaf and hard-of-hearing children to use inductive processes when dealing with shapes. Three groups were involved in the study: (1) experimental group, which included 21 deaf and hard-of-hearing children, who played a VR 3D game; (2) control group I, which included 23 deaf and hard-of-hearing children, who played a similar two-dimensional (2D) game (not VR game); and (3) control group II of 16 hearing children for whom no intervention was introduced. The results clearly indicate that practicing with VR 3D spatial rotations significantly improved inductive thinking used by the experimental group for shapes as compared with the first control group, who did not significantly improve their performance. Also, prior to the VR 3D experience, the deaf and hard-of-hearing children attained lower scores in inductive abilities than the children with normal hearing, (control group II). The results for the experimental group, after the VR 3D experience, improved to the extent that there was no noticeable difference between them and the children with normal hearing.     

Early childhood teacher education: the case of geometry

For early childhood, the domain of geometry and spatial reasoning is an important area of mathematics learning. Unfortunately, geometry and spatial thinking are often ignored or minimized in early education. We build a case for the importance of geometry and spatial thinking, review research on professional development for these teachers, and describe a series of research and development projects based on this body of knowledge. We conclude that research-based models hold the potential to make a significant difference in the learning of young children by catalyzing substantive change in the knowledge and beliefs of their teachers.     

Examining the unique contributions and developmental stability of individual forms of relational reasoning to mathematical problem solving

Relational reasoning, a higher-order cognitive ability that identifies meaningful patterns among information streams, has been suggested to underlie STEM development. This study attempted to explore the potentially unique contributions of four forms of relational reasoning (i.e., analogy, anomaly, antinomy, and antithesis) to mathematical problem solving. Two separate samples, fifth graders (n = 254) and ninth graders (n = 198), were assessed on their mathematical problem solving ability and the different forms of relational reasoning ability. Linear regression analysis was conducted, with participants’ age, working memory, and spatial skills as covariates. The results showed that analogical and antithetical reasoning abilities uniquely predicted mathematical problem solving. This pattern demonstrated developmental stability across a four-year time frame. The findings clarify the unique significance of individual forms of relational reasoning to mathematical problem solving and call for a shift of research direction to reasoning abilities when exploring dissimilarity-based relations (opposites in particular).     

Cognitive intervention through virtual environments among deaf and hard-of-hearing children

The lack of the auditory sense in the hearing-impaired raises the question as to the extent to which this deficiency affects their cognitive and intellectual skills. Studies have pointed out, that with regard to reasoning, particularly when the process of induction is required, hearing-impaired children usually have difficulties. They experience similar difficulties with their ability to think in a flexible way. Generally, a large body of literature suggests that hearing-impaired children tend to be more concrete and rigid in their thought processes. This study aimed at using Virtual Reality as a tool for improving structural inductive processes and the flexible thinking with hearing-impaired children. Three groups were involved in this study: an experimental group, which included 21 deaf and hard-of-hearing children, who played a VR 3D game; a control group, which included 23 deaf and hard-of-hearing children, who played a similar 2D (not VR game); and a second control group of 16 hearing children for whom no intervention was introduced. The results clearly indicate that practising with VR 3D spatial rotations significantly improved inductive thinking and flexible thinking of the hearing-impaired.     

The promises of numeracy

The aim of this study is to better understand the notion of early algebraic thinking by describing differences in grade 4–7 students’ thinking about basic algebraic concepts. To achieve this goal, one test that involved generalized arithmetic, functional thinking, and modeling tasks, was administered to 684 students from these grades. Quantitative analysis of the data yielded four distinct groups of students demonstrating a wide range of performance in these tasks. Qualitative analysis of students’ solutions provided further insight into their understanding of basic algebraic concepts, and the nature of the processes and forms of reasoning they utilized. The results showed that students in each group were able to solve different number and types of tasks, using different strategies. Results also indicated that students from all grades were present in each group. These findings suggest the presence of a consistent trend in the difficulty level across early algebraic tasks which may support the existence of a specific developmental trend from more intuitive types of early algebraic thinking to more sophisticated ones.     

Children’s and adolescents’ thoughts on pollution: cognitive abilities required to understand environmental systems

Pollution phenomena are complex systems in which different parts are integrated by means of causal and temporal relationships. To understand pollution, children must develop some cognitive abilities related to system thinking and temporal and causal inferential reasoning. These cognitive abilities constrain and guide how children understand pollution processes. Hence, ascertaining whether changes among children’s ideas of pollution are related to system thinking and inferential reasoning abilities could be useful in improving environmental education. Eighty participants between 9 and 16 years old were interviewed to evaluate how children explain different aspects of pollution-related systems. From the explanations found in these interviews, three progressive epistemic structures were reconstructed. The three epistemic structures differ in the type of causal and temporal relationship established by the participants and in the mechanisms that the participants used to relate the pollutant to its effects.     

Development and validation of a scientific (formal) reasoning test for college students

We present a multiple-choice test, the Montana State University Formal Reasoning Test (FORT), to assess college students' scientific reasoning ability. The test defines scientific reasoning to be equivalent to formal operational reasoning. It contains 20 questions divided evenly among five types of problems: control of variables, hypothesis testing, correlational reasoning, proportional reasoning, and probability. The test development process included the drafting and psychometric analysis of 23 instruments related to formal operational reasoning. These instruments were administered to almost 10,000 students enrolled in introductory science courses at American universities. Questions with high discrimination were identified and assembled into an instrument that was intended to measure the reasoning ability of students across the entire spectrum of abilities in college science courses. We present four types of validity evidence for the FORT. (a) The test has a one-dimensional psychometric structure consistent with its design. (b) Test scores in an introductory biology course had an empirical reliability of 0.82. (c) Student interviews confirmed responses to the FORT were accurate indications of student thinking. (d) A regression analysis of student learning in an introductory biology course showed that scores on the FORT predicted how well students learned one of the most challenging concepts in biology, natural selection.     

Moral Reasoning and Homosexuality: The acceptability of arguments about lesbian and gay issues

In the political arena, lesbian and gay issues have been contested typically on grounds of human rights, but with variable success. Using a moral developmental framework, the purpose of this study was to explore preferences for different types of moral arguments when thinking about moral dilemmas around lesbian and gay issues. The analysis presented here comprised data collected from 545 students at UK universities who completed a questionnaire, part of which comprised a moral dilemma task. Findings of the study showed that respondents do not apply moral reasoning consistently, and do not (clearly) favour human rights reasoning when thinking about lesbian and gay issues. Respondents tended to favour reasoning supporting existing social structures and frameworks, therefore this study highlights the importance of structural change in effecting widespread attitude change in relation to lesbian and gay rights issues. The implications of the findings for moral education are also discussed.     

Early Education for Spatial Intelligence: Why,What, and How

Spatial representation and thinking have evolutionary importance for any mobile organism. In addition, they help reasoning in domains that are not obviously spatial, for example, through the use of graphs and diagrams. This article reviews the literature suggesting that mental spatial transformation abilities, while present in some precursory form in infants, toddlers, and preschool children, also undergo considerable development and show important individual differences, which are malleable. These findings provide the basis for thinking about how to promote spatial thinking in preschools, at home, and in children's play. Integrating spatial content into formal and informal instruction could not only improve spatial functioning in general but also reduce differences related to gender and socioeconomic status that may impede full participation in a technological society.     

An investigation of the relationship between logical thinking structures and the ability to construct and interpret line graphs

This study investigates the relationship between logical thinking structures and the ability to construct and interpret line graphs. Seventy-two subjects in 7th, 9th, and 11th grades were administered individual Piagetian tasks to assess five specific mental structures: (Euclidean spatial structures) (a) Placement and Displacement of Objects (maintaining horizontal and vertical reference frames) and (b) One–One Multiplication of Placement and Displacement Relations (coordinate systems); (c) Multiplicative Measurement; (d) Multiplicative Seriation; and (e) Proportional Reasoning. Graphing abilities were assessed by having the subjects construct and interpret numerous graphs of varying content and difficulty. To minimize the researcher's guesses about interpretation, each subject's answers and reasons were subsequently explored during a clinical interview. The results indicate significant relationships of logical thinking to graphing ability. Multiplicative seriation, multiplicative measurement, and Euclidean spatial structures positively influenced graphing abilities. Subjects who showed evidence of proportional reasoning did significantly better on many graphing situations including choosing the part of the graph with the greatest “rate of change.” Locating points on a graph without a grid was significantly related to horizontal/vertical frames of reference. Students who did not possess the logical thinking structures were more likely to be dependent upon, and influenced by, perceptual cues and less able to interpret or construct graphs correctly.     

Chemical rationales: another triplet for chemical thinking

ABSTRACT

One of the central goals of modern science and chemistry education is to develop students’ abilities to understand complex phenomena, and productively engage in explanation, justification, and argumentation. To accomplish this goal, we should better characterise the types of reasoning that we expect students to master in the different scientific disciplines. This analysis is needed to support the design of instructional tasks, teaching strategies, and assessments that foster those ways of thinking. This essay contributes in this direction by characterising the major types of rationales built and applied by experts when analysing chemical systems and processes. The term ‘chemical rationale’ is used to refer to any product of reasoning that uses chemical knowledge to build explanations, justifications or arguments. Three main types of rationales are identified and discussed: Phenomenological, Mechanical, and Structural. Difficulties associated with learning how to build each type of rationale are highlighted, and implications for research and practice of this other chemistry ‘triplet’ are discussed.     

A structural model of algebra achievement: computational fluency and spatial visualisation as mediators of the effect of working memory on algebra achievement

The goal of this study was to develop and evaluate a structural model of the relations among cognitive abilities and arithmetic skills and college students’ algebra achievement. The model of algebra achievement was compared to a model of performance on the Scholastic Assessment in Mathematics (SAT‐M) to determine whether the pattern of relations is similar for different types of higher level maths achievement. Structural equation modelling was used to test the effects of working memory, 3D spatial ability, and computational fluency on both types of higher order maths achievement. Computational fluency had the strongest effect on algebra achievement, with 3D spatial ability and working memory showing moderate effects. In contrast, 3D spatial ability had a stronger effect on SAT‐M scores than did computational fluency. Computational fluency and 3D spatial ability completely mediated the effect of working memory for both algebra and SAT‐M achievement.     

Enhancing spatial skills through mechanical problem solving

Higher spatial skills are associated with increased interest, performance, and creativity in STEM fields (Science, Technology, Engineering, Mathematics). However, evidence for causal relations between spatial skills and STEM performance remains scarce. In this study, we test the extent to which mechanical problem solving, a spatially demanding STEM activity, facilitates spatial performance. Participants (N = 180) were randomly assigned to one of four training conditions: mechanical reasoning with a hands-on component; mechanical reasoning without a hands-on component; an active control condition involving spatial training with cross-sectioning; and an active control group involving a reading exercise. All participants were tested immediately before, after, and one-week following training. Both mechanical conditions were associated with enhanced spatial visualization performance, an effect that was similar for both conditions and remained stable across immediate and delayed post-tests. These findings suggest that mechanical problem solving is a potentially viable approach to enhancing spatial thinking.     

Insights into Students’ Geometric Reasoning Relating to Prisms

Whilst spatial reasoning skills have been found to predict mathematical achievement, little is known about how primary (elementary) students’ conceptual understanding of three-dimensional objects develops. In this article, we report a qualitative study and the impact of rich learning experiences on 48 Years 3–6 students’ geometric reasoning relating to prisms. A one-to-one task-based interview, refined by the researchers, was used to assess student learning. Coding and data analysis were informed by our previous research. The findings reveal noticeable shifts in students’ knowledge of and reasoning about prisms, their ability to construct and describe prisms with geometric language, and their visualisation and spatial structuring skills. The implications of these findings highlight the importance of teachers’ choice of tasks that require students to compose and decompose three-dimensional (3D) objects; compare 3D objects through physical and mental transformations; take different perspectives; and visualise and reason geometrically.

     

Formal operational reasoning modes: Predictors of critical thinking abilities and grades assigned by teachers in science and mathematics for students in grades nine through twelve

To test the hypothesis that formal operational reasoning modes are predictors of critical thinking abilities and grades assigned by teachers in science and mathematics, in September 1986 the Group Assessment of Logical Thinking (GALT) and in December 1986 the Watson-Glaser Critical Thinking Appraisal (WGCTA) were administered to 101 rural students in Grades 9 through 12. The grades assigned by teachers were collected in May 1987. Construct and criterion-related validities and internal-consistency reliability using Cronbach's alpha method were established on the GALT. On the WGCTA, content and construct validities and internal consistency reliability using the split-half procedure, coefficient of stability, and coefficient of equivalence were established. The five formal operational reasoning modes in the GALT were found to be significant predictors of critical thinking abilities and grades assigned by teachers in science and mathematics. The variance in the five critical thinking abilities attributable to the five formal operational reasoning modes ranged between 28% and 70%. The five formal operational reasoning modes explained 29% of the variance in mathematics achievement and 62% of the variance in science achievement.