Advanced Mathematical Study and the Development of Conditional Reasoning Skills

Since the time of Plato, philosophers and educational policy-makers have assumed that the study of mathematics improves one''s general ‘thinking skills’. Today, this argument, known as the ‘Theory of Formal Discipline’ is used in policy debates to prioritize mathematics in school curricula. But there is no strong research evidence which justifies it. We tested the Theory of Formal Discipline by tracking the development of conditional reasoning behavior in students studying post-compulsory mathematics compared to post-compulsory English literature. In line with the Theory of Formal Discipline, the mathematics students did develop their conditional reasoning to a greater extent than the literature students, despite them having received no explicit tuition in conditional logic. However, this development appeared to be towards the so-called defective conditional understanding, rather than the logically normative material conditional understanding. We conclude by arguing that Plato may have been correct to claim that studying advanced mathematics is associated with the development of logical reasoning skills, but that the nature of this development may be more complex than previously thought.     

Effects of Mathematics Anxiety and Mathematical Metacognition on Word Problem Solving in Children with and without Mathematical Learning Difficulties

Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA) and mathematical metacognition on word problem solving (WPS). We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56) with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil’s Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA), typical achieving (TA), low achieving (LA), and mathematical learning difficulty (MLD). Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA) than the TA and HA children, but not in mathematical evaluation anxiety (MEA). MLD children’s LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions.     

Biology-specific vocabulary: students’ understanding and lecturers’ expectations of student understanding

Abstract

The current A-level biology curriculum includes a broad coverage of all the biosciences which demands knowledge of a wide range of biological vocabulary. Students (n = 184) from two UK universities were presented with a list of vocabulary, associated with a ‘Revise Biology’ text which highlighted key terms that students should know. Lecturers (n = 26) were asked which of these terms they expected students to know, or be aware of. Findings revealed that students’ claimed knowledge of vocabulary exceeded lecturer expectations. In addition, there were a number of terms which students did not understand and lecturers did not expect them to know, which could be removed from A-level biology courses. This is discussed in relation to whether A-level curricula need to be so content heavy and whether lecturers would benefit from knowing more about their students’ knowledge of discipline-specific terms.     

The Grasshopper and the Taxonomer

Data are presented from an extensive survey of both lecturers and students in thirteen universities/ university colleges, analysis of which suggests that A-level biology should be one of the compulsory entrance requirements for undergraduate courses in pure or applied biology, unless there are significant changes in university teaching methods.     

Ten simple rules for succeeding as an underrepresented STEM undergraduate

Undergraduate students from underrepresented backgrounds (e.g., Black, Indigenous, and people of color [BIPOC], members of the Deaf community, people with disabilities, members of the 2SLGBTQIA+ community, from low-income backgrounds, or underrepresented genders) continue to face exclusion and marginalization in higher education. In this piece, authored and edited by a diverse group of Science, Technology, Engineering, and Mathematics (STEM) scholars, we present 10 simple rules for succeeding as an underrepresented STEM undergraduate student, illuminating the “hidden curriculum” of STEM specifically as it relates to the underrepresented undergraduate experience. Our rules begin by encouraging students to embrace their own distinct identities and scientific voices and explain how students can overcome challenges unique to underrepresented students throughout their undergraduate degrees. These rules are derived from a combination of our own experiences navigating our undergraduate STEM degrees and the growing body of literature on improving success for underrepresented students.     

Paint and Paper Creations

This article investigates generalist kindergarten teachers’ academic music training based on data collected from students undertaking an undergraduate degree in preschool (kindergarten) education (students aged 4–6 years) in Greece. The study was carried out through a questionnaire survey that addressed students’ aspirations when entering the university and the real learning outcomes by the end of their studies. This article seeks to find relationships between students’ academic experiences and their level of confidence and enthusiasm to teach music in kindergarten. The findings suggest that higher education provides students with most of the learning outcomes that they anticipate. However, students lack adequate practical experiences in terms of observing lessons in real educational settings, which can significantly affect their confidence levels. Finally, the author explores some implications for higher education policy and teaching practice.     

Countries with Higher Levels of Gender Equality Show Larger National Sex Differences in Mathematics Anxiety and Relatively Lower Parental Mathematics Valuation for Girls

Despite international advancements in gender equality across a variety of societal domains, the underrepresentation of girls and women in Science, Technology, Engineering, and Mathematics (STEM) related fields persists. In this study, we explored the possibility that the sex difference in mathematics anxiety contributes to this disparity. More specifically, we tested a number of predictions from the prominent gender stratification model, which is the leading psychological theory of cross-national patterns of sex differences in mathematics anxiety and performance. To this end, we analyzed data from 761,655 15-year old students across 68 nations who participated in the Programme for International Student Assessment (PISA). Most importantly and contra predictions, we showed that economically developed and more gender equal countries have a lower overall level of mathematics anxiety, and yet a larger national sex difference in mathematics anxiety relative to less developed countries. Further, although relatively more mothers work in STEM fields in more developed countries, these parents valued, on average, mathematical competence more in their sons than their daughters. The proportion of mothers working in STEM was unrelated to sex differences in mathematics anxiety or performance. We propose that the gender stratification model fails to account for these national patterns and that an alternative model is needed. In the discussion, we suggest how an interaction between socio-cultural values and sex-specific psychological traits can better explain these patterns. We also discuss implications for policies aiming to increase girls’ STEM participation.     

Characterisation of Digestive Enzymes in Freshly Killed Animals

We present an investigation (for A-level biology students and equivalent) into the mechanism of glucose-induced extracellular acidification in unbuffered yeast suspensions. The investigation is designed to enhance understanding of aspects of the A-level curriculum that relate to the phenomenon (notably glucose catabolism) and to develop key skills in scientific enquiry.We demonstrate that glucose-induced extracellular acidification (monitored by pH electrodes linked to a computer) is inhibited by glycolytic and TCA cycle inhibitors. Dimethylsuccinate, which forms succinate after entering cells, also induces acidification that is inhibited by malonate, an inhibitor of succinate oxidation. The yeast plasma membrane has a proton pump that extrudes protons from the cell. However, inhibitors of the pump do not affect glucose-induced acidification during 20 minutes of monitoring pH, indicating that under the experimental conditions employed, the pump does not have a significant role in the process. Taken together, the data indicate that glucose-induced acidification of the medium occurs as a result of its catabolism and subsequent outward diffusion of the CO₂ derived from respiration and/or fermentation. A discussion is presented on how the investigations developed skills of scientific enquiry in undergraduate trainee teachers who carried out some of the experiments and on how the investigations can be used to enhance these skills in A-level students.     

Animals in science education—ethics and alternatives

Increasingly, moral objections are being voiced to the use or killing of animals for educational purposes, and students' opinions are reflecting this. An animal rights philosophy often underlies these objections, but many people are unaware of the logic of the animal rights position, which is often dismissed as sentimentalism or anthropomorphism. While it is now possible to take A-level biology without undertaking dissection, there are many potential undergraduate students who would like to do courses in biology, medicine, pharmacology, physiology, and nursing, but are dissuaded by the animal use involved. Such students are frequently not offered non-animal options and risk being marked down in course work and exams, even though considerable advances have been made in the development of alternative teaching aids. This article summarizes the animal rights argument, and reviews some of the alternative approaches and their teaching effectiveness.     

Undergraduate structural biology education: A shift from users to developers of computation and simulation tools

The use of theory and simulation in undergraduate education in biochemistry, molecular biology, and structural biology is now common, but the skills students need and the curriculum instructors have to train their students are evolving. The global pandemic and the immediate switch to remote instruction forced instructors to reconsider how they can use computation to teach concepts previously approached with other instructional methods. In this review, we survey some of the curricula, materials, and resources for instructors who want to include theory, simulation, and computation in the undergraduate curriculum. There has been a notable progression from teaching students to use discipline-specific computational tools to developing interactive computational tools that promote active learning to having students write code themselves, such that they view computation as another tool for solving problems. We are moving toward a future where computational skills, including programming, data analysis, visualization, and simulation, will no longer be considered an optional bonus for students but a required skill for the 21st century STEM (Science, Technology, Engineering, and Mathematics) workforce; therefore, all physical and life science students should learn to program in the undergraduate curriculum.     

High-school students in university research labs? Implementing an outreach model based on the ‘science as inquiry’ approach

In this study we designed, implemented, and evaluated an outreach programme for high-school biology students rooted in the ‘science as inquiry’ approach. Accordingly, students learn about science from experts in the field, as well as through in-class exposure to the history and philosophy of science. Our sample consisted of 11th graders (n?=?497), ages 16–17, attending advanced biology classes. Our goal was to determine whether this programme had a significant effect on students’ understanding of the ‘nature of science’ (NOS) and on their attitudes towards science. Using a controlled pre-post research design, we asked participants to complete a Likert-like questionnaire. Also, we conducted post-programme semi-structured interviews with 35 of the participants. Results show that completion of the programme significantly enhanced participants’ NOS understanding and improved their attitudes towards science. Participants expressed a deep level of NOS understanding and explicitly stated that the field visits to experts’ labs had changed their attitude towards science. We believe that our outreach programme can be adapted for teaching other sciences and for societies worldwide, as long as there is access to university laboratories and researchers willing to interact with young citizens and potential future scientists.     

Plasmolysis experiments with Cladophora

This paper reports on a recent survey carried out by the Education Division of the Institute of Biology. Data were collected, by means of a questionnaire circulated in the Institute's members' journal, on teachers' views as to the effect on their A-level Biology students of the recent changes from GCE O-level and CSE to GCSE and from separate to ‘balanced’ science courses.     

Mapping the factors that influence the career specialty preferences by the undergraduate medical students

It is often perceived that undergraduate medical students do not select their career specialty until they are graduated. This study aimed to probe the preferences of undergraduate medical students about their career specialty and the factors influencing their choices. A self-administered questionnaire was distributed to 3rd through 5th year undergraduate medical students to record their choices of specialties and to identify the factors that influence their career selection. Out of 220 respondents, 29 (13.2%) students selected General Surgery, 24 (10.9%) Pediatrics, and 18 (8.2%) Internal Medicine as their career specialties; whereas 24 (10.9%) students were not able to select a major specialty. The least popular specialties were Gynecology and Obstetrics, Oncology, Histopathology, Orthopedics, Genetics, Psychology, each selected by one student. One hundred and seventeen (53.1%) thought their selected specialty ‘matched their capabilities’ and 82 (37.2%) perceived their selection as “innovative field in medicine”. Career advice by friends and families and the desire to serve academic institutions could not influence career selection. Career preferences by medical students result from the interplay of a range of factors. General Surgery, Pediatrics and Internal Medicine were the most preferred specialties. The professional grooming programs to target specialties matching the trainees’ capabilities and the specialties with state-of-the-art innovative technologies attract medical undergraduate students. The attained knowledge is vitally important for the policy makers in modifying the existing framework that can cater the popular and favored specialties.     

The ability of A-level students to name plants

he ability of A level students to recognise and name common wild flowers was shown to be very poor. Traineeteachers performed little better and nearly a third of the practising A-level biology teachers tested were able toname only three or fewer wild flowers.

Although opportunities exist at primary level for children to learn about the environment, most enter sec-ondary school with a poor knowledge of the organisms around them, particularly plants. At secondary level thedecrease in the importance of whole organism biology in the curriculum, declining opportunities for fieldworkand the concentration of A-level fieldwork on techniques and course assessment allow little time for training inidentification skills. Many A-level students feel that being able to recognise and name organisms is not important. In teaching students to be responsible citizens and to care about their environment, a knowledge of atleast the common organisms around them is vital.Initiatives are needed to engage the interest of primaryschool children and to provide more opportunities for fieldwork at secondary level, including time to teach students to recognise organisms. Training for teachers would be valuable and the role of organisations outside formal education in educating the wider public is also recognised.     

Assessing core manipulative skills in a large, first-year laboratory

Responding to the concern from our faculty that undergraduate students do not have robust laboratory skills, we designed and implemented a strategy to individually teach and assess the manipulative skills of students in first-year laboratories. Five core laboratory skills were selected for the course entitled Human Biology, a large, first-year class of students, most of whom were enrolled in Bachelor of Pharmacy and Human Movement Studies. Here, we report details for the 365 students enrolled primarily in Pharmacy and Human Movement Studies bachelor degree programs in semester 1 of 2006. We designed a specific strategy to assess five core laboratory skills: 1) accurate and precise use of a micropipette, 2) calculation of dilutions and preparation of diluted samples of saline, 3) accurate representation of data using a graph, 4) use of a light microscope, and 5) acquisition of digital data by measuring the latent period for the Achilles reflex. Graduate tutors were trained to teach and assess each student on each skill. The development of competency was tracked for all students across all five skills. Most students demonstrated proficiency on their first attempt. The development of proficiency across the core skills depended on both the skill and degree program. In semester 2 of 2006, 854 students mostly enrolled in the Bachelor of Science degree program and were similarly taught and assessed on the same five core skills. This approach was an effective teaching and assessment strategy that, when applied beyond first year, should increase the level of laboratory skills across undergraduate programs in physiology.     

Students investigating the antiproliferative effects of synthesized drugs on mouse mammary tumor cells

The potential for personalized cancer management has long intrigued experienced researchers as well as the na?ve student intern. Personalized cancer treatments based on a tumor's genetic profile are now feasible and can reveal both the cells' susceptibility and resistance to chemotherapeutic agents. In a weeklong laboratory investigation that mirrors current cancer research, undergraduate and advanced high school students determine the efficacy of common pharmacological agents through in vitro testing. Using mouse mammary tumor cell cultures treated with "unknown" drugs historically recommended for breast cancer treatment, students are introduced to common molecular biology techniques from in vitro cell culture to fluorescence microscopy. Student understanding is assessed through laboratory reports and the successful identification of the unknown drug. The sequence of doing the experiment, applying logic, and constructing a hypothesis gives the students time to discover the rationale behind the cellular drug resistance assay. The breast cancer experiment has been field tested during the past 5 yr with more than 200 precollege/undergraduate interns through the Gains in the Education of Mathematics and Science program hosted by the Walter Reed Army Institute of Research.     

Evolving strategies for the incorporation of bioinformatics within the undergraduate cell biology curriculum

Recent advances in genomics and structural biology have resulted in an unprecedented increase in biological data available from Internet-accessible databases. In order to help students effectively use this vast repository of information, undergraduate biology students at Drake University were introduced to bioinformatics software and databases in three courses, beginning with an introductory course in cell biology. The exercises and projects that were used to help students develop literacy in bioinformatics are described. In a recently offered course in bioinformatics, students developed their own simple sequence analysis tool using the Perl programming language. These experiences are described from the point of view of the instructor as well as the students. A preliminary assessment has been made of the degree to which students had developed a working knowledge of bioinformatics concepts and methods. Finally, some conclusions have been drawn from these courses that may be helpful to instructors wishing to introduce bioinformatics within the undergraduate biology curriculum.     

The bench vs. the blackboard: learning to teach during graduate school

Many science, technology, engineering, and mathematics (STEM) graduate students travel through the academic career pipeline without ever learning how to teach effectively, an oversight that negatively affects the quality of undergraduate science education and cheats trainees of valuable professional development. This article argues that all STEM graduate students and postdoctoral fellows should undergo training in teaching to strengthen their resumes, polish their oral presentation skills, and improve STEM teaching at the undergraduate level. Though this may seem like a large undertaking, the author outlines a three-step process that allows busy scientists to fit pedagogical training into their research schedules in order to make a significant investment both in their academic career and in the continuing improvement of science education.     

Carrying BioMath Education in a Leaky Bucket

In this paper, we describe a project-based mathematical lab implemented in our Applied Mathematics in Biology course. The Leaky Bucket Lab allows students to parameterize and test Torricelli's law and develop and compare their own alternative models to describe the dynamics of water draining from perforated containers. In the context of this lab students build facility in a variety of applied biomathematical tools and gain confidence in applying these tools in data-driven environments. We survey analytic approaches developed by students to illustrate the creativity this encourages as well as prepare other instructors to scaffold the student learning experience. Pedagogical results based on classroom videography support the notion that the Biology-Applied Math Instructional Model, the teaching framework encompassing the lab, is effective in encouraging and maintaining high-level cognition among students. Research-based pedagogical approaches that support the lab are discussed.     

Comparison of sleep and chronotype between senior and undergraduate university students

ABSTRACT

The university programs for seniors provide a third age perspective in lifelong learning with classes and recreational facilities, and enable students to share their experiences and knowledge. A good sleep quality promotes better cognitive functioning and serves to protect against age-related cognitive declines. Central nervous system reorganization takes place during sleep, and although the influence of sleep quality on memory is not clear, circadian rhythm disorders affect alertness and individual performance. Physiological change during aging need to be clarified to better understand how university might help students. The aim of the present study was to evaluate for the first time the chronotype, the sleep quality and their relationship in senior university students and to compare them with those of undergraduate students. The Morningness–Eveningness Questionnaire (MEQ) and the Pittsburgh Sleep Quality Index (PSQI) were used. The results indicated that approximately 50% of the participants were good sleepers. This percentage was equal in the senior and undergraduate students. The results showed that undergraduate students tended toward eveningness while senior students tended toward morningness. Among the undergraduate students, evening type chronotypes had a tendency toward higher PSQI scores and this affected their daytime function scores, while it did not in the senior students, in whom worsening sleep quality was associated with disturbances such as going to the bathroom and nocturnal awakening. This information would be useful for designing environmental interventions to optimize sleep/work cycles for decreasing age-associated changes in memory in senior students and for improving the academic achievements of undergraduate students.