The Ungrading Learning Theory We Have Is Not the Ungrading Learning Theory We Need.

Ungrading is an emancipatory pedagogy that focuses on evaluative assessment of learning. Self-regulated learning (SRL) has consistently been referred to as the learning theory that undergirds ungrading, but SRL-with its deficit frame in the literature and in practice-fails to uphold ungrading's emancipatory aims. An asset-framed learning theory-one that combines the cultural orientation of funds of knowledge with the power dynamics of community cultural wealth-is proposed as an alternative to SRL. The proposed learning theory aligns ungrading to its emancipatory aims and may provide an opportunity to better understand the learning that occurs in ungraded classrooms. Scholarly and practical impacts for Science, Technology, Engineering, and Mathematics (STEM), and specifically biology, educational research and practice include investigating the plausibility of mixing learning theories, aligning learning theory to emancipatory aims and researching how faculty activate funds of knowledge and community cultural wealth, both individually and collectively, in ungraded STEM classrooms.

Instructional Influencers: Teaching Professors as Potential Departmental Change Agents in Diversity, Equity, and Inclusion.

At many research-intensive universities in North America, there is a disproportionate loss of minoritized undergraduate students from Science, Technology, Engineering, and Mathematics (STEM) majors. Efforts to confront this diversity, equity, and inclusion (DEI) challenge, such as faculty adoption of evidenced-based instructional approaches that promote student success, have been slow. Instructional and pedagogical change efforts at the academic department level have been demonstrated to be effective at enacting reform. One potential strategy is to embed change agent individuals within STEM departments that can drive change efforts. This study seeks to assess whether tenure-track, teaching-focused faculty housed in STEM departments are perceived as influential on the instructional and pedagogical domains of their colleagues. To answer this, individuals across five STEM departments at large, research-intensive campuses identified faculty who were influential upon six domains of their instruction and pedagogy. Social network analysis of individuals in these departments revealed heterogeneity across the instructional domains. Some, like the teaching strategies network, are highly connected and involve the majority of the department; while others, like the DEI influence network, comprise a significantly smaller population of faculty. Importantly, we demonstrate that tenure-track, teaching-focused faculty are influential across all domains of instruction, but are disproportionately so in the sparsely populated DEI influence networks.

Adapting STEMM in Hawai'i: Necessary actions for one of the most diverse places in the United States.

Hawai'i's diverse population prime it to be an exemplary environment to study representation in science, technology, engineering, mathematics, and medicine (STEMM). In actuality, Hawai'i has low STEMM enrollment and therefore, low representation in STEMM. What primarily inhibits Hawai'i from having a strong STEMM workforce is the lack of education in STEMM, resources allocated to STEMM, and mentorship to succeed in STEMM. Other factors such as cultural values, high costs of living, and geographical barriers also contribute to Hawai'i's low STEMM enrollment. To combat these issues, I offer suggestions to encourage STEMM enrollment, such as directing funds toward after-school education. I also suggest combatting the lack of resources by providing more online opportunities for students and workers. As for Hawai'i's low mentorship, I suggest that more programs be created within communities and universities to create a platform for mentors and mentees to network. This manuscript seeks to highlight these areas of improvement and recognize lessons to be learned from Hawai'i, thus serving as a resource for individuals internationally.

Emotion regulation skills as a mediator of STEM teachers' stress, well-being, and burnout.

The teaching profession highly stressful, and teachers are often faced with challenging situations. This is particularly the case in STEM (science, technology, engineering, and math) education, which is a uniquely demanding and challenging field. This study examined the role of emotional regulation (ER) skills in STEM teachers' stress, well-being, and burnout. The sample included 165 STEM teachers in middle and high schools who completed standard online questionnaires on ER, stress, well-being, and burnout. They were also asked to comment on three videos depicting authentic mathematical and pedagogical situations. The results indicated that contrary to popular belief, seniority was not linked with levels of stress, difficulties in ER, lower levels of well-being, or higher levels of burnout. A structural equation model and bootstrapping analysis showed teachers' levels of stress predicted their well-being, and this link between stress and well-being was mediated by teachers' level of difficulty in ER. The study highlights the importance of STEM teachers' well-being and suggests the need to reduce stress and burnout by providing tools for teachers to regulate their emotions in the classroom.

The intersection of parent questions, child skills, and activity context in informal science, technology, engineering, and math learning.

Adult verbal input occurs frequently during parent-child interactions. However, few studies have considered how parent language varies across informal STEM (science, technology, engineering, and math) activities. In this study, we examined how open and closed parent questions (a) differed across three STEM activities and (b) related to math, science, and vocabulary knowledge in their preschool-aged children. A total of 173 parents and their preschool children (Mage = 4 years) from lower socioeconomic households were video-recorded participating in three STEM-related activities: (a) a pretend grocery store activity, (b) a bridge-building challenge, and (c) a book read about a science topic. Parent questions were categorized as open or closed according to the presence of key question terms. Results indicate that the three activities elicited different frequencies of parent open and closed questions, with the grocery store activity containing the most open and closed questions. Children's science knowledge was predicted by the frequency and proportion of parent open questions during the book read. These results enhance our understanding of the role of parent questions in young children's language environments in different informal learning contexts.

Knowing what they know: Preschool teachers' knowledge of math skills and its relation to instruction.

Math experiences during the preschool years play an important role in children's later math learning. Preschool teachers exhibit considerable variability in the amount and types of mathematics activities they engage in with their students; one potentially important source of these individual differences is adults' knowledge of early math development. The current study aimed to describe preschool teachers' knowledge of numeracy, patterning, and spatial/geometric skills developed in preschool and its relation to their reported mathematics instruction. Participants (N = 83) completed a survey in which they judged whether particular early math skills could be observed in typically developing 4-year-olds in the United States and reported their frequency of engaging in different math instructional activities. Pre- and in-service preschool teachers' knowledge varied across the different domains (i.e., numeracy, patterning, and spatial/geometric) of mathematical thinking, but their reported frequency of instruction did not. Teachers who were found to be more accurate in their knowledge of early math development were more likely to report higher frequency of math instruction; looking specifically at the domains, the strength of association between knowledge and instruction was the strongest for numeracy. Such findings highlight the possibility that supporting preschool teachers' knowledge of the range of math skills their students can be developing may be one component of improving early math teaching and learning.

Building integrated number sense in adults and children: Comparing fractions-only training with cross-notation number line training.

Mounting evidence points to the predictive power of cross-notation rational number understanding (e.g., 2/5 vs. 0.25) relative to within-notation understanding (e.g., 2/5 vs. 1/4) in predicting math outcomes. Although correlational in nature, these studies suggest that number sense training emphasizing integrating across notations may have more positive outcomes than a within-notation focus. However, this idea has not been empirically tested. Thus, across two studies with undergraduate students (N = 183 and N = 181), we investigated the effects of a number line training program using a cross-notation approach (one that focused on connections among fractions, decimals, and percentages) and a within-notation approach (one that focused on fraction magnitude representation only). Both number line approaches produced positive effects, but those of the cross-notation approach were larger for fraction magnitude estimation and cross-notation comparison accuracy. In a third study (N = 63), we adapted the cross-notation number line training for use in place of typical classroom warm-up activities for middle school students. Similar to the results with undergraduate students, the cross-notation training program yielded positive benefits for middle school students over a typical warm-up activity (fraction arithmetic practice). Together, these results suggest the importance of an integrated approach to teaching rational number notations, an approach that appears to be uncommon in current curricula.

Reflections: enhancing critical thinking in science education by implementing philosophy elements into training.

In this work, I describe the trajectory of philosophy and science as separate disciplines from their early days as quite overlapping fields to their clear divergence in the latest centuries. From personal experience, I discuss the benefits of exposure to philosophy and closely related courses in undergraduate studies and bring to the forefront the positive aspects of integrating philosophy of science courses in graduate science, technology, engineering, and mathematics (STEM) curriculum. I also briefly offer some additional steps institutions can take to foster unity between areas of science and philosophy by incorporating interdisciplinary activities.

How teachers make connections among ideas in mathematics instruction.

Conceptual understanding involves understanding connections among ideas within a domain. In this chapter, we consider how teachers support students in learning about connections among ideas in mathematics. We review research focusing on teachers' connection making in mathematics classrooms, and we consider several dimensions of variability in that connection making. Across three corpora of lessons that varied in students' grade levels (first grade to college), cultural settings (United States and China), and mathematics content, we found that all teachers produced linking episodes, but the frequency with which they did so varied substantially, raising new questions about the sources and consequences of that variability. Teachers of first-grade students in China routinely engaged their students in co-constructing links; teachers of middle schoolers and college students in the United States typically explained links to students. Linking episodes targeted many different types of connections, including connections between representations, connections between principles and exemplars, connections between procedures and concepts, and connections between concepts and real-world instantiations. Across all three corpora, teachers expressed linked ideas multimodally in a majority of linking episodes. Based on the findings, we present several hypotheses about how teacher behaviors may support students' understanding of connections among ideas, and we suggest directions for future work.

Mentorship Interventions in Postgraduate Medical and STEM Settings: A Scoping Review.

BACKGROUND: Mentorship is critical to success in postgraduate science, technology, engineering, math, and medicine (STEMM) settings. As such, the purpose of this study is to comprehensively explore the state of mentorship interventions in postgraduate STEMM settings to identify novel practices and future research directions. The selection criteria for reviewed articles included: 1) published between 2002 and 2022, 2) peer-reviewed, 3) in English, 4) postgraduate mentees, 5) a program where mentorship is a significant, explicit focus, and 6) a description of mentee outcomes related to the mentorship intervention. Overall, 2583 articles were screened, and 109 articles were reviewed. RESULTS: Most postgraduate STEMM mentorship intervention studies lack strong evidence to evaluate the effectiveness of the intervention, with only 5.5% of articles designed as randomized controlled trials. Most mentorship interventions (45.6%) were created for faculty, and few (4%) were for postdoctoral researchers. Also, only 18.8% of interventions focused on underrepresented groups in STEMM. Most interventions (53.7%) prescribed a dyadic structure, and there was more mentorship training for mentors than mentees. CONCLUSION: Overall, these findings identify gaps in mentorship interventions and provide step-by-step guidance for future interventions, including a consideration for underrepresented groups and postdoctoral scholars, robust mentorship training, and more randomized controlled trials.

Empowering STEM students: A university-wide mentorship program fostering retention and belonging.

In the face of a challenging climate STEM (Science, Technology, Engineering and Mathematics) higher education that is resistant to Diversity, Equity, and Inclusion efforts aimed to increase and retain students from historically excluded groups (HEGs), there is a critical need for a support structure to ensure students from HEGs continue to be recruited retained. The Biology Undergraduate and Master's Mentorship Program (BUMMP) embodies this commitment to fostering scientific identity, efficacy, and a sense of belonging for first-generation and historically underserved undergraduate and master's students at UC San Diego. The mission of BUMMP is to cultivate a sense of belonging, instill confidence, and nurture a strong scientific identity amongst all its participants. At its core, the three pillars of BUMMP are (1) mentorship, (2) professional development, and (3) research. Quality mentorship is provided where students receive personal guidance from faculty, graduate students, postdocs, and industry leaders in navigating their career pathways. Complementing mentorship, BUMMP provides paid research opportunities and prioritizes professional development by offering workshops designed to enhance students' professional skills. These three pillars form the backbone of BUMMP, empowering students from all backgrounds and ensuring their retention and persistence in STEM. So far, we've served over 1350 mentees, collaborated with 809 mentors, and had over 180 mentees actively engaged in BUMMP-sponsored research activities. The primary focus of this paper is to provide a programmatic guideline for the three pillars of BUMMP: mentorship, professional development, and research. This will offer a blueprint for other institutions to establish similar mentorship programs. Additionally, the paper highlights the impact of the BUMMP program and surveyed mentees who have participated in the mentorship and research component of BUMMP. We showed that mentorship and research experience enhance students' sense of belonging, science identity, and science efficacy, which are key predictors of retention and persistence in pursuing a STEM career. Overall, BUMMP's expansive efforts have made a tremendous impact at UC San Diego and will continue to foster a community of future leaders who will be prepared to make meaningful contributions to the scientific community and beyond.

Teaching the way I wish I was taught: Design and implementation of a class on historically excluded and underrepresented scientists.

As the first Inupiaq person to earn a PhD in microbiology, I learned the hard way that groups of people have been excluded from science, technology, engineering and mathematics in the United States since the first University was built by Black and Indigenous slaves. Students from historically excluded and underrepresented (HEU) backgrounds typically do not see themselves in textbooks, conferences, or classrooms, especially in science, technology, engineering, mathematics and medicine (STEMM) fields. Similarly, students from these backgrounds and non-excluded backgrounds typically do not understand the history or consequences of exclusion. Here I describe the development and implementation of a class that teaches undergraduate students about the current state of diversity in STEMM jobs in the US, the history of exclusion that resulted in a deficit of people from various backgrounds, the consequences of excluding these people from research specifically, current leaders in research from HEU backgrounds, and how to implement changes. The students are taught how to communicate their findings in oral and written communication to various audiences. Based on decades of experiences, discussions, readings, and more, I teach students the reasons there are so few people from HEU backgrounds in academia and in STEMM specifically, and what can be done at the University level to ensure that people from all backgrounds are represented in STEMM. In this way, I teach students what I wish I had been taught decades ago.

Technology accountability groups: A novel form of technology learning and support for graduate students and faculty in STEM.

In academia, particularly in science, technology, engineering, and mathematics (STEM), writing accountability groups have emerged as an effective technique to enhance writing productivity by offering structure, increasing the commitment to write, and fostering social commitment. The rapid development of technology has introduced a new challenge across STEM fields: technostress, where individuals face heightened stress due to novel applications of technology. To address this, we introduce Technology Accountability Groups (TAGs), a novel form of community support for graduate students and faculty. TAGs are tailored to help individuals navigate technological innovations, alleviate technostress, acquire new skills, motivate, and connect with leaders in the field. This paper presents a framework for establishing, implementing, and sustaining TAGs in STEM.

Arithmetic fluency and number processing skills in identifying students with mathematical learning disabilities.

BACKGROUND: Students with mathematical learning disabilities (MLD) struggle with number processing skills (e.g., enumeration and number comparison) and arithmetic fluency. Traditionally, MLD is identified based on arithmetic fluency. However, number processing skills are suggested to differentiate low achievement (LA) from MLD. AIMS: This study investigated the accuracy of number processing skills in identifying students with MLD and LA, based on arithmetic fluency, and whether the classification ability of number processing skills varied as a function of grade level. METHODS AND PROCEDURES: The participants were 18,405 students (girls = 9080) from Grades 3-9 (ages 9-15). Students' basic numerical skills were assessed with an online dyscalculia screener (Functional Numeracy Assessment -Dyscalculia Battery, FUNA-DB), which included number processing and arithmetic fluency as two factors. OUTCOMES AND RESULTS: Confirmatory factor analyses supported a two-factor structure of FUNA-DB. The two-factor structure was invariant across language groups, gender, and grade levels. Receiver operating characteristics curve analyses indicated that number processing skills are a fair classifier of MLD and LA status across grade levels. The classification accuracy of number processing skills was better when predicting MLD (cut-off < 5 %) compared to LA (cut-off < 25 %). CONCLUSIONS AND IMPLICATIONS: Results highlight the need to measure both number processing and arithmetic fluency when identifying students with MLD.

Ten recommendations for hosting a Diversity, Equity, Inclusion, and Justice (DEIJ) journal club.

Despite advances and social progress, the exclusion of diverse groups in academia, especially science, technology, engineering, and mathematics (STEM) fields, across the US and Europe persists, resulting in the underrepresentation of diverse people in higher education. There is extensive literature about theory, observation, and evidence-based practices that can help create a more equitable, inclusive, and diverse learning environment. In this article, we propose the implementation of a Diversity, Equity, Inclusion, and Justice (DEIJ) journal club as a strategic initiative to foster education and promote action towards making academia a more equitable institution. By creating a space for people to engage with DEIJ theories* and strategize ways to improve their learning environment, we hope to normalize the practice and importance of analyzing academia through an equity lens. Guided by restorative justice principles, we offer 10 recommendations for fostering community cohesion through education and mutual understanding. This approach underscores the importance of appropriate action and self-education in the journey toward a more diverse, equitable, inclusive, and just academic environment. *Authors' note: We understand that "DEIJ" is a multidisciplinary organizational framework that relies on numerous fields of study, including history, sociology, philosophy, and more. We use this term to refer to these different fields of study for brevity purposes.

Intervention effects on low performing preschoolers' early mathematical skills: Adding fundamental motor skill practice as a supporting method.

BACKGROUND: This study examined the effects of (1) combined early numeracy and fundamental motor skills (MovEN), (2) early numeracy, and (3) fundamental motor skills intervention programs on children's early mathematical and fundamental motor skills, and how individual background variables affect the effectiveness of these interventions. PROCEDURE: Together 50 preschoolers participated in the interventions (16 × 45 min sessions). Children's early numeracy, mathematical problem-solving, and fundamental motor skills were measured once before and twice after the interventions. MAIN FINDINGS: The results showed that the MovEN and early numeracy -interventions were effective in improving children's early numeracy, and mathematical problem-solving. Whereas the MovEN and fundamental motor skills interventions improved children's fundamental motor skills. From individual factors, only updating ability predicted the intervention's effectiveness over and above prior performance. CONCLUSION: The results suggest that children's early mathematical and fundamental motor skills can be supported effectively at the same time with the MovEN -intervention.

Bridging cognitive neuroscience and education: Insights from EEG recording during mathematical proof evaluation.

BACKGROUND: Much of modern mathematics education prioritizes symbolic formalism even at the expense of non-symbolic intuition, we contextualize our study in the ongoing debates on the balance between symbolic and non-symbolic reasoning. We explore the dissociation of oscillatory dynamics between algebraic (symbolic) and geometric (non-symbolic) processing in advanced mathematical reasoning during a naturalistic design. METHOD: Employing mobile EEG technology, we investigated students' beta and gamma wave patterns over frontal and parietal regions while they engaged with mathematical demonstrations in symbolic and non-symbolic formats within a tutor-student framework. We used extended, naturalistic stimuli to approximate an authentic educational setting. CONCLUSION: Our findings reveal nuanced distinctions in neural processing, particularly in terms of gamma waves and activity in parietal regions. Furthermore, no clear overall format preference emerged from the neuroscientific perspective despite students rating symbolic demonstrations higher for understanding and familiarity.

Fostering excellence: Nurturing motivation and performance among high- and average-ability students through need-supportive teaching.

When students with high cognitive abilities disengage from school, this implies a severe loss of talent to students themselves and to society. Hence, it is important to understand how teachers can prevent disengagement and underachievement in high-ability students. Whereas a large body of research has demonstrated that need-supportive teaching (i.e., the provision of autonomy support, involvement, and structure) and differentiated instruction relate positively to students' academic development, it remains unclear whether such practices would be equally, more, or less beneficial for high-ability students. Drawing on data from a longitudinal four-wave study among early adolescents from Flanders (N = 3586), this study showed that need-supportive teaching in math classes was positively associated with intrinsic motivation, behavioral engagement, and math performance in high-ability students, both at the level of between-student differences and at the level of changes in students over time. Standardized estimates were typically between 0.05 and 0.20 at the between-person level, indicating small effect sizes, with more modest effect sizes at the within-person level. Importantly, these associations were found to be generally equivalent across high- and average-ability students. Comparing the provision of need-supportive teaching to either high- or average-ability students, high-ability students particularly reported more autonomy support from their math teachers than average-ability students, with small effect sizes (i.e., Cohen's d between 0.16 and 0.27). These findings underline the importance of need-supportive teaching to support the motivational and academic development of both high- and average-ability students.

Boredom due to being over- or under-challenged in mathematics: A latent profile analysis.

BACKGROUND: Recent research on boredom suggests that it can emerge in situations characterized by over- and under-challenge. In learning contexts, this implies that high boredom may be experienced both by low- and high-achieving students. AIMS: This research aimed to explore the existence and prevalence of boredom due to being over- and under-challenged in mathematics, for which empirical evidence is lacking. SAMPLE: We employed a sample of 1.407 students (fifth to ninth graders) from all three secondary school tracks (lower, middle and upper) in Bavaria (Germany). METHODS: Boredom was assessed via self-report and achievement via a standardized mathematics test. We used latent profile analysis to identify groups characterized by different levels of boredom and achievement, and we additionally examined gender and school track as group membership predictors. RESULTS: Results revealed four distinct groups, of which two showed considerably high boredom. One was coupled with low achievement on the test (i.e. 'over-challenged group', 13% of the total sample), and one was coupled with high achievement (i.e. 'under-challenged group', 21%). Furthermore, we found a low boredom and high achievement (i.e. 'well-off group', 27%) and a relatively low boredom low achievement group (i.e. 'indifferent group', 39%). Girls were overrepresented in the over-challenged group, and students from the upper school track were underrepresented in the under-challenged group. CONCLUSION: Our research emphasizes the need to openly discuss and further investigate boredom due to being over- and under-challenged.

Impacts of number lines and circle visual displays on caregivers' fraction understanding.

Playful fraction picture books, together with math instructional content called "back matter," may promote fraction learning, which is crucial because fractions are difficult and often disliked content. However, open questions remain regarding how different types of back matter may affect caregivers' ability to use fraction picture books as a teaching tool. The current study offers a novel investigation into how back matter affects caregivers' (N = 160) fraction understanding (i.e., equivalence and arithmetic) and subjective beliefs about math using a pretest/posttest design. We contrasted existing back matter text with research-informed back matter text crossed with either circle area or number line visual displays. Caregivers' performance improved from pretest to posttest in the Researcher-Generated + Circles condition (fraction equivalence) and in the Existing + Circles, Researcher-Generated + Circles, and Researcher-Generated + Number Lines conditions (fraction arithmetic). In addition, caregivers were aware of their learning; they predicted improvements in their fraction arithmetic performance over time. These findings suggest that brief interventions, such as back matter in children's picture books, may improve adults' fraction understanding.