Utilization of the vacuum form machine: Custom mouthguards versus esthetic bleaching trays

Purpose: This study analyzed the percentage of Virginia practitioners utilizing vacuum form machines, types of appliances recommended, and types of patient information provided.Methods: Questionnaires were constructed and mailed to 2500 dentists.Results: 80% of dentists utilized vacuum form machines, 42.5% recommended mouthguards, 60.2% recommended home bleaching trays, 37.6% provided patient information on mouthguards, 37.1% provided patient information on home bleaching trays, 16.5% inquired on patient questionnaires about mouthguard protection during contact sports,and 17.3% inquired on patient questionnaires about tooth color satisfaction.Conclusions: Dentists use vacuum form machines for home bleaching trays more than mouthguards. General dentists and pediatric dentists provide patient information on mouthguards and home bleaching trays more often than orthodontists. General dentists provide patient information on home bleaching trays more often than pediatric dentists. Dentists in practice 25 or more years are the most likely to have patient questionnaires that address the use of mouthguards

Students\u27 Reasoning Around the Functional Relationship

Proportional reasoning is related to flexible use of the scalar and functional relationships that exist in proportional situations. More specifically, in regard to the functional relationship, students’ understanding of the multiplicative comparison that exists between two quantities in a ratio is a key concept. We conducted student interviews with 12 high performing students to examine their conception of the functional relationship. Analyses provided initial evidence that the majority of students did not conceive of the multiplicative comparison when solving problems designed to press the functional relationship, indicating students’ written work that makes use of the functional relationship should not imply understanding of the multiplicative comparison

Assessing Teacher Attentiveness to Student Mathematical Thinking

This article illustrates an argument-based approach to presenting validity evidence for assessment items intended to measure a complex construct. Our focus is developing a measure of teachers’ ability to analyze and respond to students’ mathematical thinking for the purpose of program evaluation. Our validity argument consists of claims addressing connections between our item-development process and the theoretical model for the construct we are trying to measure: attentiveness. Evidence derived from theoretical arguments in conjunction with our multiphased item-development process is used to support the claims, including psychometric evidence of Rasch model fit and category ordering. Taken collectively, the evidence provides support for the claim that our selected-response items can measure increasing levels of attentiveness. More globally, our goal in presenting this work is to demonstrate how theoretical arguments and empirical evidence fit within an argument to support claims about how well a construct is represented, operationalized, and structured

Exploring and Examining Quantitative Measures

The purpose of this working group is to bring together scholars with an interest in examining the research on quantitative tools and measures for gathering meaningful data, and to spark conversations and collaboration across individuals and groups with an interest in synthesizing the literature on large-scale tools used to measure student- and teacher-related outcomes. While syntheses of measures for use in mathematics education can be found in the literature, few can be described as a comprehensive analysis. The working group session will focus on (1) defining terms identified as critical (e.g., large-scale, quantitative, and validity evidence) for bounding the focus of the group, (2) initial development of a document of available tools and their associated validity evidence, and (3) identification of potential follow-up activities to continue the work to identify tools and developed related synthesis documents (e.g., the formation of sub-groups around potential topics of interest). The efforts of the group will be summarized and extended through both social media tools (e.g., creating a Facebook group) and online collaboration tools (e.g., Google hangouts and documents) to further promote this work

Cycles of evidence collection in the development of a measure of teacher knowledge

This study highlights some of the tensions that arise during measure development while attending to both Rasch measurement principles and mathematics education’s focus on high quality operationalization of complex theoretical constructs. We situate our measure development work within the context of a larger design-based mathematics teacher preparation intervention project focused on improving teacher candidate attentiveness, and illustrate how these tensions have shaped our instrument and item development work over the last four years.This research was supported in part by grant #1726543 Preparing Secondary Mathematics Teachers with Video Cases of Students’ Functional Reasoning from the National Science Foundation

Comparison of Two Approaches to Interpretive Use Arguments

The Standards for Educational and Psychological Testing (AERA, APA, & NCME, 2014) recommend an argument-based approach to validation that involves a clear statement of the intended interpretation and use of test scores, the identification of the underlying assumptions and inferences in that statement—termed the interpretation/use argument, and gathering of evidence to support or refute the assumptions and inferences. We present two approaches to articulating the assumptions and inferences that underlie a score interpretation and use statement, also termed the interpretation/use argument (Kane, 2016). One approach uses the five sources of validity evidence in the Standards for Educational and Psychological Testing (AERA, APA, & NCME, 2014) as a framework and the other approach uses Kane’s chain of assumptions/inferences approach (Kane, 2006, 2013a, 2016) as a framework. Through this process we identified aspects of these approaches that need to be further clarified for instrument developers to consistently implement either approach, identified important differences in the perspective each approach takes on validation, and highlight important questions for the measurement and mathematics education research fields to consider

Statewide Mathematics Professional Development: Teacher Knowledge, Self-Efficacy, and Beliefs

We examined the impact of a state mandated K-12 mathematics professional development course on knowledge, self-efficacy and beliefs of nearly 4,000 teachers and administrators. Participants completed the Mathematical Thinking for Instruction course, emphasizing student thinking, problem-solving, and content knowledge specific to mathematics instruction. Inventories utilizing items fromthe Learning Mathematics for Teaching project (2005) measured changes in participants’ Mathematical Knowledge for Teaching (MKT) and an end-of-course self-evaluation enabled analysis of changes in MKT, self-efficacy and beliefs. Statistically significant changes were found in all three variables. This study adds to our understanding of the potential usefulness of mandating professional development as a policy vehicle for influencing educators’ mathematics knowledge and beliefs

Analysis of Students’ Proportional Reasoning Strategies

Proportional reasoning is key to students’ acquisition and application of complex mathematics and science topics. Research is needed regarding how students’ progress towards and come to demonstrate key developmental understandings within proportional reasoning. To this end we created and administered assessment items to 297 middle grades students. We categorized student solution processes qualitatively, followed by Rasch analysis to examine item difficulty and strategy use in relation to an anticipated trajectory. Our findings indicate that different strategies manifest themselves in a hierarchical manner, providing initial confirmation of categories based on strategy efficiency and emphasizing the importance of teacher (and researcher) analysis of classroom assessments from a student cognition perspective

Beyond Shadowing: Providing Meaningful Clinical Experiences for Early Clinical Learners

Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/136699/1/aet210012_am.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/136699/2/aet210012.pd

Influence of Proportional Number Relationships on Item Accessibility and Students’ Strategies

Extensive evidence points to the need for mathematics instruction to tap into students’ informal understandings in order to conceptually develop formal mathematical ideas (Ahl, Moore, & Dixon, 1992; Freudenthal, 1973, 1991; Treffers, 1987). Contextual problems are a common means of helping students access their informal mathematical ideas (Lamon, 1993; Moore & Carlson, 2012). However, to successfully use context in this manner, we must ensure these problems are accessible to students and have the potential to promote connections to deeper or more formal mathematics (Jackson, Garrison, Wilson, Gibbons, & Shahan, 2013; Stein, Smith, Henningsen, & Silver, 2000). There is thus a need for research to identify what characteristics make contextual tasks accessible to students as a point of entry and useful for educators in analyzing and pressing students’ thinking