Measures of subject-related role identities in physics and math have been developed from research on the underlying constructs of identity in science education. The items for these measures capture three constructs of identity: students’ interest in the subject, students’ feeling of recognition by others, and students’ beliefs about their performance/competence in the subject area. In prior studies with late secondary and early post-secondary students, participants did not distinguish between performance beliefs (e.g., believing that they can do well in a particular subject) and competence beliefs (e.g., believing that they can understand a particular subject); therefore, performance/competence beliefs are measured as a single construct. These validated measures have been successful in predicting STEM career choices including physics, math, and engineering. Based on these measures of identity, literature on engineering identity, and my prior work on understanding engineering choice and belongingness through students’ science and math identities at the transition from high school to college, I developed a set of new engineering identity measures that capture and overall identification as an engineer, future engineering career identification, and students’ engineering-related interest, recognition, and performance/competence beliefs. I conducted a pilot survey of 371 first-year engineering students at three institutions within the U.S. during the spring semester of 2015. An exploratory factor analysis (EFA) was performed to examine the underlying structure of the piloted questions about students’ engineering identity. The measures loaded on three separate constructs that were consistent with the hypothesized constructs of interest, performance/competence and recognition. The developed items were used in a subsequent study deployed in the fall semester of 2015 that measured more than 2500 first-year engineering students’ attitudes and beliefs at four institutions within the U.S. The data on engineering identity measures from this second survey were analyzed using confirmatory factor analysis (CFA). The results indicated that the developed measures do extract a significant portion of the average variance in the latent constructs and the internal consistency of the measures (Cronbach’s α) falls within the acceptable and better range. The development of these items provides ways for engineering education researchers to more deeply explore the underlying self-beliefs in students’ engineering identity formation through quantitative measures with strong evidence for validity. 
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                            Probing the mechanisms underlying numerosity-to-numeral mappings and their relation to math competence
                        
                    
    
            Numerosity estimation performance (e.g., how accurate, consistent, or proportionally spaced (linear) numerosity-numeral mappings are) has previously been associated with math competence. However, the specific mechanisms that underlie such a relation is unknown. One possible mechanism is the mapping process between numerical sets and symbolic numbers (e.g., Arabic numerals). The current study examined two hypothesized mechanisms of numerosity-numeral mappings (item-based “associative” and holistic “structural” mapping) and their roles in the estimation-and-math relation. Specifically, mappings for small numbers (e.g., 1–10) are thought to be associative and resistant to calibration (e.g., feedback on accuracy of esti- mates), whereas holistic “structural” mapping for larger numbers (e.g., beyond 10) may be supported by flexibly aligning a numeral “response grid” (akin to a ruler) to an analog “mental number line” upon calibration. In 57 adults, we used pre- and post-calibration estimates to measure the range of continuous associative mappings among small numbers (e.g., a base range of associative mappings from 1 to 10), and obtained measures of math competence and delayed multiple-choice strategy reports. Consistent with previous research, uncalibrated estimation performance correlated with calculation competence, controlling for reading fluency and working memory. However, having a higher base range of associative mappings was not related to estimation performance or any math competence measures. Critically, discontinuity in calibration effects was typi- cal at the individual level, which calls into question the nature of “holistic structural mapping”. A parsimonious explanation to integrate previous and current findings is that estimation performance is likely optimized by dynamically constructing numerosity-numeral mappings through the use of multiple strategies from trial to trial. 
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                            - Award ID(s):
- 1660816
- PAR ID:
- 10141388
- Date Published:
- Journal Name:
- Psychological Research
- ISSN:
- 0340-0727
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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