Translating words into equations: a cognitive load theory approach

The conditions under which explicit instruction in checking, combined with worked examples, may be beneficial in learning how to translate sentences into algebraic equations was examined from the perspective of cognitive load theory. In two experiments it was shown that Grade 8 and 9 students were initially disadvantaged by the inclusion of a checking method. However, after a more substantial period of acquisition, students with a low level of mathematical knowledge performed significantly better after receiving checking instructions than those who did not receive checking instructions. In contrast, higher knowledge students were continually disadvantaged by the inclusion of a checking method. The positive effect of checking for lower knowledge students and the negative effect for higher knowledge students in this domain is a further example of the expertise reversal effect.     

Fifth graders' science inquiry abilities: A comparative study of students in hands‐on and textbook curricula

A large number of American elementary school students are now studying science using the hands‐on inquiry curricula developed in the 1990s: Insights; Full Option Science System (FOSS); and Science and Technology for Children (STC). A goal of these programs, echoed in the National Science Education Standards, is that children should gain “abilities to do scientific inquiry” and “understanding about scientific inquiry.” We have studied the degree to which students can do inquiries by using four hands‐on performance assessments, which required one or three class periods. To be fair, the assessments avoided content that is studied in depth in the hands‐on programs. For a sample of about 1000 fifth grade students, we compared the performance of students in hands‐on curricula with an equal number of students with textbook curricula. The students were from 41 classrooms in nine school districts. The results show little or no curricular effect. There was a strong dependence on students' cognitive ability, as measured with a standard multiple‐choice instrument. There was no significant difference between boys and girls. Also, there was no difference on a multiple‐choice test, which used items released from the Trends in International Mathematics and Science Study (TIMSS). It is not completely clear whether the lack of difference on the performance assessments was a consequence of the assessments, the curricula, and/or the teaching. © 2006 Wiley Periodicals, Inc. J Res Sci Teach 43: 467–484, 2006     

Preschoolers’ Visual Attention during Electronic Storybook Reading as Related to Different Types of Textual Supports

Preschoolers’ (n?=?32) attention to print and pictures was documented during an electronic storybook reading session. Children (M?=?51.06 months; SD?=?7.34 months) looked at a 12-page book that contained three types of pages, each of which was presented four times over the course of the book: (1) silent presentation of print, (2) print that was read aloud, and (3) print that was both read aloud and highlighted. Our research objectives were to analyze whether the way in which print was presented related to the ways in which children attended to print and pictures during the reading session. Gaze fixation duration to print and pictures was assessed using a Tobii X2-60 portable eye tracking unit, which captured corneal reflection data for each child. Children’s total fixation duration to print was greatest when print was read aloud and highlighted as compared to when it was presented silently or read aloud. In addition, children looked at print more when it was displayed silently than when the computer read the story to children, although this difference was much smaller in magnitude. Children attended to pictures more than print across pages, but this difference was most notable when the story was read aloud. Results demonstrate the potential utility of nonverbal print referencing strategies during book reading.     

Distance education: A particular context for teaching and learning. Introduction to this special issue

This editorial introduction positions distance education in the larger context of educational research and theory construction. Next to a definition of key concepts, the authors elaborate three major issues that are dealt with in distance education research in relation to educational materials. The first issue centres on curriculum and values. The second topic concentrates on the creation of appropriate learning environments. The third issue focuses on the evaluation of effects of materials in use. In discussing the three issues the authors stress the particularities of the distance education context.     

The Interplay of Teacher and Student Actions in the Teaching and Learning of Geometric Proof

Proof and reasoning are fundamental aspects of mathematics. Yet, how to help students develop the skills they need to engage in this type of higher-order thinking remains elusive. In order to contribute to the dialogue on this subject, we share results from a classroom-based interpretive study of teaching and learning proof in geometry. The goal of this research was to identify factors that may be related to the development of proof understanding. In this paper, we identify and interpret students' actions, teacher's actions, and social aspects that are evident in a classroom in which students discuss mathematical conjectures, justification processes and student-generated proofs. We conclude that pedagogical choices made by the teacher, as manifested in the teacher's actions, are key to the type of classroom environment that is established and, hence, to students' opportunities to hone their proof and reasoning skills. More specifically, the teacher's choice to pose open-ended tasks (tasks which are not limited to one specific solution or solution strategy), engage in dialogue that places responsibility for reasoning on the students, analyze student arguments, and coach students as they reason, creates an environment in which participating students make conjectures, provide justifications, and build chains of reasoning. In this environment, students who actively participate in the classroom discourse are supported as they engage in proof development activities. By examining connections between teacher and student actions within a social context, we offer a first step in linking teachers' practice to students' understanding of proof.     

Efficiency in Minitab

This simple Minitab simulation exercise illustrates the concept of efficiency of estimators. Students compare the sampling distributions of the sample mean, median and mid-range from a normal distribution and from a uniform distribution. The striking differences observed give rise to much discussion.     

The Early Development Instrument: Translating School Readiness Assessment Into Community Actions and Policy Planning

This invited special issue of Early Education and Development presents research related to the Early Development Instrument (EDI; Janus & Offord, 2007), a community tool to assess children's school readiness at a population level. In this editorial introduction, we first sketch out recent trends in school readiness research that call for a contextual and whole-child assessment of school readiness. Then we provide an overview of the EDI, including a discussion of its purpose and development, as well as its large-scale international use as a community tool to monitor children's developmental outcomes at population levels. Finally, we introduce the special issue's articles, all of which present research findings from ongoing community research projects that employ the EDI to assess children's school readiness. These articles are grouped into the following thematic themes: (a) individual-level validity of the EDI, (b) school and neighborhood effects and population-level validity of the EDI, and (c) program implementation and evaluation using the EDI.     

Sharing Books and Learning Language: What do Latina Mothers and Their Young Children Do?

This study examined low-income, Spanish-speaking, immigrant Latina mothers' book sharing behaviors in relation to their children's vocabulary. Participants were 47 3-year-old children and their mothers. We addressed two research questions: (a) What interactive behaviors are evident when low-income immigrant Latina mothers and their 3-year-old children look at books together? (b) For these children and their mothers, which book-sharing behaviors are related to children's expressive language? Overall, our results indicated that mothers were involved in several kinds of interactions with the books. They enhanced their children's attention to the printed text, promoted interaction or conversation with their children about what was in the books, and somewhat less often, used more complex literacy strategies. Mothers who did these things most had children with the largest vocabularies even when mothers' vocabulary was taken into account. Implications for designing interventions for similar families are discussed.     

Using time dynamically in static intervals: Does it close the achievement gap?

A mixed-methods study was undertaken with 118 biology students in two urban high schools. A Student-Centered Adaptable Learning Environment (SCALE) was created to improve engagement from affective and cognitive perspectives using choice, creativity and technological allowances. Results demonstrated that fast and slow learners are generally separated by about 30 min in terms of inputting speeds, but can be as much as 65 min apart from one another. Given that traditional classrooms afford students only 45 min in which to learn, static time could have become a source of inequity in public schools. SCALE optimally allowed for the dynamic use of time in constrained periods, therefore reducing and even eliminating any negative relationships between speed of learning and resultant achievement gains in the block setting. Especially benefitting from their ability to maneuver were the slowest learners, who showed the largest achievement improvements in either time interval amongst ability groupings. As learning speed can be the most critical contributing component of resultant educational outcomes, providing students the ability to use time dynamically should be considered as a feasible solution to helping teachers reestablish equity in mixed-ability classrooms in public schools.