The Comparative Effectiveness of Physical,Virtual, and Virtual-Physical Manipulatives on Third-Grade Students’ Science Achievement and Conceptual Understanding of Evaporation and Condensation

The purpose of this study was to investigate the relative effectiveness of experimenting with physical manipulatives alone, virtual manipulatives alone, and virtual preceding physical manipulatives (combination environment) on third-grade students’ science achievement and conceptual understanding in the domain of state changes of water, focusing on the concepts of evaporation and condensation. A pretest-posttest design was used that involved 208 third-grade students assigned to the three learning conditions. A science achievement test and a two-tier conceptual test were administered to students before and after a teaching intervention. The results revealed that using virtual preceding physical manipulatives and virtual manipulatives alone enhanced students’ knowledge gains about evaporation and condensation greater than the use of physical laboratory activities alone. It was also found that the combination environment promoted students’ knowledge gains about these concepts equally well as the use of virtual laboratory activities alone. On the other hand, the results showed that using virtual preceding physical manipulatives promoted students’ conceptual understanding most efficiently compared to the use of either physical or virtual manipulatives alone; in contrast, experimenting with physical manipulatives alone was least influential for students’ conceptual understanding compared to the other manipulatives.     

Is physicality an important aspect of learning through science experimentation among kindergarten students?

The purpose of this study was to investigate whether physicality (actual and active touch of concrete material), as such, is a necessity for science experimentation learning at the kindergarten level. We compared the effects of student experimentation with Physical Manipulatives (PM) and Virtual Manipulatives (VM) on kindergarten students’ understanding of concepts related to the use of a beam balance as a means to compare and differentiate materials according to their mass. A pre-post comparison study design was used that involved four conditions, with 20 kindergarten students in each condition. The first and second conditions included students who had correct prior knowledge of what a balance beam does and who were given PM and VM, respectively, to use for the study's purposes. The third and fourth conditions included students who had an incorrect prior knowledge of what a balance beam does and who were also given PM and VM, respectively, to use. All conditions followed the same learning tasks, which was a series of experiments. The learning process occurred in the context of a clinical interview, which was used as a means to collect data before, during, and after the learning process. Findings revealed that kindergarteners learned more from experimentation in both PM conditions and the VM condition whose participants had correct prior knowledge of what a balance beam does than in the VM condition whose participants had an incorrect knowledge of what a balance beam does. Physicality appears to be a prerequisite for students’ understanding of concepts concerning the use of a beam balance, as a means to compare and differentiate materials according to their mass, only when the students have incorrect prior knowledge of what a beam balance does.     

Teaching science as a language: A “content‐first” approach to science teaching

Our research project was guided by the assumption that students who learn to understand phenomena in everyday terms prior to being taught scientific language will develop improved understanding of new concepts. We used web‐based software to teach students using a “content‐first” approach that allowed students to transition from everyday understanding of phenomena to the use of scientific language. This study involved 49 minority students who were randomly assigned into two groups for analysis: a treatment group (taught with everyday language prior to using scientific language) and a control group (taught with scientific language). Using a pre–post‐test control group design, we assessed students' conceptual and linguistic understanding of photosynthesis. The results of this study indicated that students taught with the “content‐first” approach developed significantly improved understanding when compared to students taught in traditional ways. © 2008 Wiley Periodicals, Inc. J Res Sci Teach 45: 529–553, 2008     

The Effect of Functional Flow Diagrams on Apprentice Aircraft Mechanics' Technical System Understanding

Cognitive theory suggests that a key to expert performance lies in the internal organization of the expert's knowledge. The authors contend that the type of technical illustration used during instruction influences knowledge organization and greatly impacts students' understanding of the content. This paper describes an experimental study that tested the impact of one type of conceptual illustration on students' understanding of the structure, function, and behavior of complex technical systems. The results show that supplementing traditional technical instruction with functional flow diagrams can improve overall system understanding. The functional flow diagrams were also found to be an effective instructional aid for enhancing students' conceptual understanding of the causal behavior of systems. In addition, the use of the functional flow diagram was found to significantly improve the subjects' ability to construct conceptual models that were similar to those of an expert. The implications of using conceptual diagrams for technical instruction are discussed and recommendations for future research in this area are provided.     

A comparison of students' conceptual understanding of electric circuits in simulation only and simulation‐laboratory contexts

The aim of this experimental study was to compare learning outcomes of students using a simulation alone (simulation environment) with outcomes of those using a simulation in parallel with real circuits (combination environment) in the domain of electricity, and to explore how learning outcomes in these environments are mediated by implicit (only procedural guidance) and explicit (more structure and guidance for the discovery process) instruction. Matched‐quartets were created based on the pre‐test results of 50 elementary school students and divided randomly into a simulation implicit (SI), simulation explicit (SE), combination implicit (CI) and combination explicit (CE) conditions. The results demonstrated that the instructional support had an expected effect on students' understanding of electric circuits when they used the simulation alone; pure procedural guidance (SI) was insufficient to promote conceptual understanding, but when the students were given more guidance for the discovery process (SE) they were able to gain significant amount of subject knowledge. A surprising finding was that when the students used the simulation and the real circuits in parallel, the explicit instruction (CE) did not seem to elicit much additional gain for their understanding of electric circuits compared to the implicit instruction (CI). Instead, the explicit instruction slowed down the inquiry process substantially in the combination environment (CE). Although the explicit instruction was able to improve students' conceptual understanding of electrical circuits considerably in the simulation environment, their understanding did not reach the level of the students in the combination environment. These results suggest that when teaching students about electricity, the students can gain better understanding when they have an opportunity to use the simulation and the real circuits in parallel than if they have only a computer simulation available, even when the use of the simulation is supported with the explicit instruction. © 2010 Wiley Periodicals, Inc. J Res Sci Teach 48: 71–93, 2011     

Effects of student‐generated diagrams versus student‐generated summaries on conceptual understanding of causal and dynamic knowledge in plate tectonics

This research examines the beneficial effects of student‐generated diagrams versus student‐generated summaries on conceptual understanding in the domain of plate tectonics. Fifty‐eight Grade 5 students read a brief expository text about plate tectonics. During their reading of the text, students were asked to either draw diagrams, produce written summaries, or simply read the text (control). Conceptual understanding was measured by the diagrams and summaries which were generated during students' reading of the text, as well as by a posttest which assessed students' understanding of both spatial/static and causal/dynamic knowledge of the domain. Results indicated that the summaries generated during the reading of the text contained more domain‐related information than the diagrams which were generated during the reading of the text. However, on the posttest measures, the diagram group outperformed both the summary and text only groups in terms of understanding both the spatial/static as well as causal/dynamic aspects of the domain. Results are discussed with regard to the differential effects that generating diagrams as compared to generating summaries or simply reading has on both on‐line comprehension during reading and resulting conceptual understanding of the domain. © 1999 John Wiley & Sons, Inc. J Res Sci Teach 36: 39–53, 1999.     

Students' conceptions of natural selection and its role in evolution: Cases of replication and comparison

The work of Bishop and Anderson (1990) plays a major role in educators' understanding of evolution education. Their findings remind us that the majority of university students do not understand the process of evolution but that conceptual change instruction can be moderately effective in promoting the construction of a scientific understanding. The present article details two studies that represent an effort to focus on and define the limits of the Bishop and Anderson (1990) study. Study A describes a close replication of the work of Bishop and Anderson (1990) using the same conceptual-change teaching module to teach a unit on evolution to students enrolled in a biology course for nonmajors. Study B, a case of comparison, used the same evaluation instrument used in Bishop and Anderson (1990) and Study A, but high school students were the participants and the instruction was based on the inquiry approach to science. Like Bishop and Anderson (1990), Study A showed that the amount of prior instruction and students' beliefs in evolution were not found to be large factors in students' use of scientific conceptions. Unlike the original study, the students in Study A showed only a meager increase in their use of scientific conceptions for evolution. In Study B, students in the experimental group showed significant increases in their use of scientific conceptions. These findings suggest a need to investigate more closely the teachers' theories of learning, their reliance on instructional conversations, and the amount of time devoted to the topic of evolution as we study conceptual change in this area.     

A comparative study of the effects of using dynamic geometry software and physical manipulatives on the spatial visualisation skills of pre‐service mathematics teachers

The study compared the effects of dynamic geometry software and physical manipulatives on the spatial visualisation skills of first‐year pre‐service mathematics teachers. A pre‐ and post‐test quasi‐experimental design was used. The Purdue Spatial Visualisation Test (PSVT) was used for the pre‐ and post‐test. There were three treatment groups. The first group (n = 34) used Dynamic Geometry Software (DGS) Cabri 3D as a virtual manipulative and the second group (n = 32) used physical manipulatives. In the control group (n = 30), the students received traditional instruction. The results of the study showed that physical manipulatives and DGS‐based types of instruction are more effective in developing the students' spatial visualisation skills than traditional instruction. In addition, students in the DGS‐based group performed better than the physical manipulative‐based group in the views section of the PSVT.     

Effect of explicit problem solving instruction on high school students' problem-solving performance and conceptual understanding of physics

In this study a two-sample, pre/posttest, quasi-experimental design was used to investigate the effect of explicit problem-solving instruction on high school students' conceptual understanding of physics. Eight physics classes, with a total of 145 students, were randomly assigned to either a treatment or comparison group. The four treatment classes were taught how to use an explicit problem-solving strategy, while the four comparison classes were taught how to use a textbook problem-solving strategy. Students' problem-solving performance and conceptual understanding were assessed both before and after instruction. The results indicated that the explicit strategy improved the quality and completeness of students' physics representations more than the textbook strategy, but there was no difference between the two strategies on match of equations with representations, organization, or mathematical execution. In terms of conceptual understanding, there was no overall difference between the two groups; however, there was a significant interaction between the sex of the students and group. The explicit strategy appeared to benefit female students, while the textbook strategy appeared to benefit male students. The implications of these results for physics instruction are discussed. © 1997 John Wiley & Sons, Inc. J Res Sci Teach 34: 551–570, 1997.     

Physical versus virtual manipulative experimentation in physics learning

The aim of this study was to investigate whether physical or virtual manipulative experimentation can differentiate physics learning. There were four experimental conditions, namely Physical Manipulative Experimentation (PME), Virtual Manipulative Experimentation (VME), and two sequential combinations of PME and VME, as well as a control condition (i.e., traditional instruction with absence of PME or VME). Undergraduate students' understanding of physics concepts in the domain of heat and temperature was tested in a pre- and posttest design that involved 182 participants assigned to the four experimental groups and 52 participants assigned to the control group. Conceptual tests were administered to assess students' understanding before, during and after instruction. The analyses revealed that the four experimental conditions were equally effective in promoting students' understanding of concepts in the domain of heat and temperature and better than the control condition; hence, manipulation, either physical or virtual manipulation, and not physicality, as such, at least in a context like the one of the present study, is important in physics learning.     

Middle and high school math teaching for students with mild intellectual disability

The author briefly reviews studies on the math teaching of secondary school students with mild intellectual disabilities. Then, the author demonstrates ways to teach secondary-level mathematics to students with mild intellectual disabilities. In this article, readers will learn about how to use manipulatives, diagrams, and gestures to support students' thinking. Readers will also learn how to make connections between new and challenging math content to students' experiences inside and outside of school to support them as they think through mathematics.     

Elementary teachers' epistemological and ontological understanding of teaching for conceptual learning

The purpose of this study was to examine the ways in which elementary teachers applied their understanding of conceptual learning and teaching to their instructional practices as they became knowledgeable about conceptual change pedagogy. Teachers' various ways to interpret and utilize students' prior ideas were analyzed in both epistemological and ontological dimensions of learning. A total of 14 in‐service elementary teachers conducted an 8‐week‐long inquiry into students' conceptual learning as a professional development course project. Major data sources included the teachers' reports on their students' prior ideas, lesson plans with justifications, student performance artifacts, video‐recorded teaching episodes, and final reports on their analyses of student learning. The findings demonstrated three epistemologically distinct ways the teachers interpreted and utilized students' prior ideas. These supported Kinchin's epistemological categories of perspectives on teaching including positivist, misconceptions, and systems views. On the basis of Chi's and Thagard's theories of conceptual change, the teachers' ontological understanding of conceptual learning was differentiated in two ways. Some teachers taught a unit to change the ontological nature of student ideas, whereas the others taught a unit within the same ontological categories of student ideas. The findings about teachers' various ways of utilizing students' prior ideas in their instructional practices suggested a number of topics to be addressed in science teacher education such as methods of utilizing students' cognitive resources, strategies for purposeful use of counter‐evidence, and understanding of ontological demands of learning. Future research questions were suggested. © 2007 Wiley Periodicals, Inc. J Res Sci Teach 44: 1292–1317, 2007     

Community College Students' Conceptual Understanding of Statistical Measures of Spread

This study investigated the conceptual understanding of measures of spread among community college students in an introductory statistics course. The course is centered around deemphasizing computational skills and focused, rather, on development of conceptual understanding. Open-ended questions were developed to explore and assess students' conceptual understanding of measures of spread. A detailed analysis of the students' responses is presented to reveal the range of students' conceptions of the measures of spread. The analysis of a wide variety of responses provides evidence of the students' ability to organize concepts of spread in a way that is meaningful to them individually. Some common student misconceptions revealed by this study should be examined closely and taken into consideration to promote students' development of understanding of spread.     

Science Teachers' Elicitation Practices: Insights for Formative Assessment

In evaluating teachers' instructional decisions during instruction, it is clear that the nature of their elicitation is crucial for student learning. When instructional decisions are informed by information about students' conceptual understanding, significant learning is possible. This article examined the elicitation practices of two high school science teachers who indicated that they made instructional decisions based on the elicited evidence of students' knowledge but whose elicitation practices were characteristic of low-level elicitation. The teachers focused on students' responses that used canonical terms and expressed acceptable knowledge. The teachers demonstrated low-level responsiveness because they did not have full access to students' knowledge. The elicited evidence of students' knowledge that was used in making instructional decisions was not representative of students' conceptual understanding. There was, thus, a mismatch between the teachers' perspectives about their formative assessment practice and what is considered effective formative assessment.     

Using manipulatives to support an embodied approach to learning trigonometry in a South African school: A case study

ABSTRACT

Multiple Intelligence Theory suggests that individuals perceive knowledge in eight different ways. This article reports on a study that explored the role of manipulatives in the teaching and learning of trigonometric ratios in grade 10. The approach attempts in addressing three domains of the Multiple Intelligence Theory (linguistic/verbal intelligence, logical/mathematical intelligence and spatial intelligence). The foundation of this research was a case study contained in the interpretative paradigm involving five grade 10 mathematics pupils at a high school in South Africa. The data was collected from: (1) activity sheet containing written responses of pupils; (2) observations; and (3) semi-structured interviews. The data was analysed and it was found that the use of manipulatives in teaching and learning mathematics played a positive role in leaners understanding of trigonometric ratios at grade 10 level. In general the findings of this study supported other research findings that confirm that manipulatives were important mediating tools in the development of conceptual and procedural understanding of mathematical concepts. Besides these pedagogical implications the study proved that the manipulatives effectively consolidated the features of Lesh's model.     

A New Autonomy-Supportive Way of Teaching That Increases Conceptual Learning: Teaching in Students' Preferred Ways

We tested the educational utility of “teaching in students' preferred ways” as a new autonomy-supportive way of teaching to enhance students' autonomy and conceptual learning. A pilot test first differentiated preferred versus nonpreferred ways of teaching. In the main study, a hired teacher who was blind to the purpose of the study taught 63 college-age participants in small groups the same 48-minute lesson in one of these two different ways, and we assessed participants' perceived autonomy support, autonomy-need satisfaction, engagement (self-report and rater scored), and conceptual learning (self-report and rater scored). Multilevel analyses showed that participants randomly assigned to receive a preferred way of teaching perceived the teacher as more autonomy supportive and showed significantly greater autonomy-need satisfaction, engagement, and conceptual learning. Mediation analyses using multilevel modeling for clustered data showed that this way of teaching enhanced conceptual learning because it first increased students' autonomy. We conclude that “teaching in students' preferred ways” represents a way of teaching that increases students' autonomy, engagement, and conceptual learning.     

Research Trends in Science Education from 2008 to 2012: A systematic content analysis of publications in selected journals

This paper presents the third study of research trends in science education. In this review, a total of 990 papers published in the International Journal of Science Education, the Journal of Research in Science Teaching, and Science Education from 2008 to 2012 were analyzed. The results indicate that in the recent five years (2008–2012), the top three research topics in the published papers were those regarding the context of students' learning, science teaching, and students' conceptual learning. The changes in the most popular research topics in the past 15 years also evidentially indicate shifts in the journals' preferences and researchers' interest. For example, in 2003–2007, context of students' learning replaced students' conceptual learning, which was the most published research topic from 1998 to 2002. The research topic of students' learning contexts continued to rank the first in 2008–2012. Moreover, there was an increasing trend of research papers regarding science teaching from 1998 to 2012. The analysis of highly cited papers revealed that research topics such as argumentation, inquiry-based learning, and scientific modeling were recently highlighted by science educators. In recent 15 years, productive researchers' publications also focused on the topics about context of students' learning, science teaching, and students' conceptual learning.     

The Nature and Role of Common Ground in the Learning of Mathematics in Small-Group Discussions

This study investigates the nature and role of common ground in group learning of mathematics by means of the analytical constructs of focal projects and contextualization. The analysis investigates two students (12–13 years old) playing a dice game, where their task is to distribute a set of markers based on the total of two dice. The analysis shows how consistency between the students' focal projects became crucial in their progression from a uniform to a non-uniform distribution of the markers used in the game. The task system and concrete manipulatives became important in furthering the students' explorations. In the frame of a frequency context, we also discuss how a contextualization may restrict certain aspects of probability from coming into play during such explorations.     

Undergraduate students' understanding of the contraposition equivalence rule in symbolic and verbal contexts

Literature suggests that the type of context wherein a task is placed relates to students' performance and solution strategies. In the particular domain of logical thinking, there is the belief that students have less difficulty reasoning in verbal than in logically equivalent symbolic tasks. Thus far, this belief has remained relatively unexplored in the domain of teaching and learning of mathematics, and has not been examined with respect to students' major field of study. In this study, we examined the performance of 95 senior undergraduate mathematics and education majors in symbolic and verbal tasks about the contraposition equivalence rule. The selection of two different groups of participants allowed for the examination of the hypothesis that students' major may influence the relation between their performance in tasks about contraposition and the context(symbolic/verbal) wherein this is placed. The selection of contraposition equivalence rule also addressed a gap in the body of research on undergraduate students' understanding of proof by contraposition. The analysis was based on written responses of all participants to specially developed tasks and on semi-structured interviews with 11 subjects. The findings showed different variations in the performance of each of the two groups in the two contexts. while education majors performed significantly better in the verbal than in the symbolic tasks, mathematics majors' performance showed only modest variations. The results call for both major- and context- specific considerations of students' understanding of logical principles, and reveal the complexity of the system of factors that influence students' logical thinking.     

How students reason about matter flows and accumulations in complex biological phenomena: An emerging learning progression for mass balance

In recent years, there has been a strong push to transform STEM education at K-12 and collegiate levels to help students learn to think like scientists. One aspect of this transformation involves redesigning instruction and curricula around fundamental scientific ideas that serve as conceptual scaffolds students can use to build cohesive knowledge structures. In this study, we investigated how students use mass balance reasoning as a conceptual scaffold to gain a deeper understanding of how matter moves through biological systems. Our aim was to lay the groundwork for a mass balance learning progression in physiology. We drew on a general models framework from biology and a covariational reasoning framework from math education to interpret students' mass balance ideas. We used a constant comparative method to identify students' reasoning patterns from 73 interviews conducted with undergraduate biology students. We helped validate the reasoning patterns identified with >8000 written responses collected from students at multiple institutions. From our analyses, we identified two related progress variables that describe key elements of students' performances: the first describes how students identify and use matter flows in biology phenomena; the second characterizes how students use net rate-of-change to predict how matter accumulates in, or disperses from, a compartment. We also present a case study of how we used our emerging mass balance learning progression to inform instructional practices to support students' mass balance reasoning. Our progress variables describe one way students engage in three dimensional learning by showing how student performances associated with the practice of mathematical thinking reveal their understanding of the core concept of matter flows as governed by the crosscutting concept of matter conservation. Though our work is situated in physiology, it extends previous work in climate change education and is applicable to other scientific fields, such as physics, engineering, and geochemistry.