Using the Mixture Rasch Model to Explore Knowledge Resources Students Invoke in Mathematic and Science Assessments

The purpose of this study was to investigate whether mixture Rasch models followed by qualitative item‐by‐item analysis of selected Programme for International Student Assessment (PISA) mathematics and science items offered insight into knowledge students invoke in mathematics and science separately and combined. The researchers administered an assessment constructed from PISA released items to 516 15‐year‐old middle school students in China. The findings suggest that while PISA attributes showed promise for providing insight into how students were classified in mathematics and science, when combined these attributes were not found. Our findings suggest that students do not seem to be applying attribute strengths to the dataset as a whole (i.e., mathematics and science items combined) in ways that differentiate them from students who appear weaker for those attributes.     

Moving Beyond “Those Kids”: Addressing Teacher Beliefs Regarding the Role of Culture Within Effective Science Pedagogy for Diverse Learners

This study focused on intensive work within a large, urban, low‐performing middle school in the southwest to address and transform teacher beliefs regarding the role of culture within their science pedagogy. Given the recent, rapid growth of numbers of students from Hispanic/Latino(a) backgrounds in the United States, it is critical that a paradigm shift takes place within schools and existing beliefs of science teachers to address the needs of a much changed classroom. This study details the journey of middle‐school teachers who were provided support and experiences targeted at addressing their existing beliefs regarding the role of culture and the growth and change that were achieved through a science education reform effort. Implications for further research will be discussed, including the need for attention to beliefs regarding culture are shared.     

“I Am Science and the World Is Mine”: Embodied Practices as Resources for Empowerment

Those who are most marginalized, both culturally and economically, in society are concentrated in the nation's largest urban centers and have the least opportunities to be successful in school science or to pursue higher education and career trajectories in science, mathematics, or engineering. This article shares the results of a study in which African American economically disadvantaged high school students living in Philadelphia were hired as student researchers and had the opportunity to develop a curriculum enhancer — a movie entitled Sound in the City. The findings reveal that the students' capacity to act, or their sense of agency, expanded both through the process of making the movie and with the final movie product. During the production of the movie, the youth accessed multiple resources (both physical and human) to represent abstract physics facts in contextualized ways. Specifically, this article illuminates how they drew upon embodied practices that included rhythm, verbal fluency, and high energy in creating and filming the movie segments, as well as behind the scenes as they worked to understand the physics content. This study urges the science education community to consider how students' embodied practices can connect them to science in empowering ways that expand their capacity for action in multiple spaces.     

A Longitudinal Analysis of an Out‐of‐School Science Experience

A phenomenological approach was used to investigate the longitudinal recollections of participants of an out‐of‐school science program. The experience was a field trip to the Shenandoah National Park (USA) conducted in the fall of 2004. The science topic was geologic history and features related to the Shenandoah Valley. Two major themes relating to the participants' long term recollection of the out‐of‐school science field trip were identified after the interview data was analyzed. First, recollections were highly influenced by actions taken by the students, and, second, program content / subject matter were retained by all of the students to varying degrees. The interactive experiences that aided in memory retrieval from this study closely relates to the interactive experiences associated with memory and learning theory associated with the psychological domain. This linkage and its impact on how students learn in out‐of‐school science experiences are discussed.     

Exploring Middle School Girls’ Science Identities: Examining Attitudes and Perceptions of Scientists when Working “Side‐by‐Side” with Scientists

This article is the culmination of an extensive inquiry‐focused interactive experience involving female middle school students and five university scientists, which demonstrated that middle school girls ‘perception of science and scientists can be successfully improved. The study exposed students to adult professional scientists over a period of a few days in laboratory and field exercises. Based on student journal entries and pictorial illustrations, as well as attitude surveys, the experience resulted in a keen appreciation of the sciences among the majority of participants and both a heightened and broadened awareness of Science as a Human Endeavor. The students’ resulting perceptions reinforce the importance for science educators to expose their students to adult professional scientists in order for students, especially female students, to develop a better understanding of science and the role of scientists. Engaging scientists in helping promote science as a positive, exciting and satisfying career goal will help debunk common myths in the minds of young students about science and drive students, especially female students, to consider science careers.     

The Influence of Science Summer Camp on African‐American High School Students' Career Choices

This study explored if a weeklong science camp changed Louisiana African‐American high school students' perception of science. A semi‐structured survey was used before and after the camp to determine the changes in science attitudes and career choices. Among the perceived benefits were parental involvement, increased science academic ability, and deepened scientific knowledge. These perceived benefits influenced the identities that students constructed for themselves in relation to science in their lives. Students who reported doing well in school science courses believed that science was more relevant to their lives. Female students who cited doing well in science reported less parental involvement in their schoolwork than males. This study draws attention to gender differences in science and to designing informal science learning experiences for African‐American high school students that can change attitudes toward career choices in science‐related fields.     

A Multi‐Method Investigation of Mathematics Motivation for Elementary Age Students

This paper presents the results of a multi‐method study examining elementary students with high self‐reported levels of mathematics motivation. Second‐ through fifth‐grade students at a Title One school in the southeastern United States completed the Elementary Mathematics Motivation Instrument (EMMI), which examines levels of mathematics motivation across three subscales: (a) Math Anxiety, (b) Self‐Efficacy, and (c) Value of Math. Results from this quantitative phase were used to identify a sample for a qualitative phase examining how students who report high levels of motivation perceive mathematics. The resulting qualitative phase utilized a phenomenological design to explore mathematics motivation for a particular set of students in a fifth‐grade setting. Findings indicate that elementary students with high mathematics motivation value mathematics as a present and future oriented discipline and value teachers that deemphasize testing as a measure of success.     

Students’ and Teachers’ Conceptual Metaphors for Mathematical Problem Solving

Metaphors are regularly used by mathematics teachers to relate difficult or complex concepts in classrooms. A complex topic of concern in mathematics education, and most STEM‐based education classes, is problem solving. This study identified how students and teachers contextualize mathematical problem solving through their choice of metaphors. Twenty‐two high‐school student and six teacher interviews demonstrated a rich foundation for these shared experiences by identifying the conceptual metaphors. This mixed‐methods approach qualitatively identified conceptual metaphors via interpretive phenomenology and then quantitatively analyzed the frequency and popularity of the metaphors to explore whether a coherent metaphorical system exists with teachers and students. This study identified the existence of a set of metaphors that describe how multiple classrooms of geometry students and teachers make sense of mathematical problem solving. Moreover, this study determined that the most popular metaphors for problem solving were shared by both students and teachers. The existence of a coherent set of metaphors for problem solving creates a discursive space for teachers to converse with students about problem solving concretely. Moreover, the methodology provides a means to address other complex concepts in STEM education fields that revolve around experiential understanding.     

Relationship Between Professional Development,Teachers' Instructional Practices,and the Achievement of Students in Science and Mathematics

The purpose of this study was to examine the relationship between different types of professional development, teachers' instructional practices, and the achievement of students in science and mathematics. The types of professional development studied included immersion, examining practice, curriculum implementation, curriculum development, and collaborative work. Data regarding teachers' instructional practices and the amount of professional development were collected using teacher surveys. Ninety‐four middle school science teachers and 104 middle school mathematics teachers participated in the study. Student achievement was measured using eighth grade state science and mathematics achievement test data. Regression analyses suggested that for both science and mathematics teachers, examining practice and curriculum development were significantly related to the use of standards‐based instructional practices. Only curriculum development for mathematics teachers was significantly related to student achievement. Implications of results for the professional development of science and mathematics teachers are discussed.     

The Effects of a Mathematics Infusion Curriculum on Middle School Student Mathematics Achievement

Increasing mathematical competencies of American students has been a focus for educators, researchers, and policy makers alike. One purported approach to increase student learning is through connecting mathematics and science curricula. Yet there is a lack of research examining the impact of making these connections. The Mathematics Infusion into Science Project, funded by the National Science Foundation, developed a middle school mathematics‐infused science curriculum. Twenty teachers utilized this curriculum with over 1,200 students. The current research evaluated the effects of this curriculum on students' mathematics learning and compared effects to students who did not receive the curriculum. Students who were taught the infusion curriculum showed a significant increase in mathematical content scores when compared with the control students.     

Perceptions of Mathematics and Gender

This study examined students’ perceptions about gender and the subject of mathematics, as well as gender and mathematics learning. Secondary school students and pre‐service elementary teachers were surveyed using the Mathematics as a Gendered Domain and Who and Mathematics instruments developed by Leder and Forgasz ( Leder, 2001 ). The data indicate that, similar to findings from the 1970s, students believe that mathematics is gender neutral, although females hold this belief more strongly than males. Female secondary school students hold beliefs in gender neutrality more strongly than female pre‐service teachers. Data for secondary school students indicate that both males and females see differences in the way boys and girls act and are treated in mathematics classes (e.g., boys cause more distractions while girls care more about doing well). The data also show that secondary school males who believe they are good mathematics students tend to have more gender‐neutral perceptions than those who believe they are average or below average. No such pattern appears for secondary school females.     

Interesting Science and Mathematics Graduate Students in Secondary Teaching

State and national initiatives attempt to increase the quantity and quality of secondary mathematics and science teachers. Research suggests that if one could appeal to something inside of people or about the process of teaching and learning itself, then one might draw current mathematics and science graduate students into secondary teaching. This study placed eight mathematics and science graduate students in secondary schools for ten hours a week. Pre‐ and post‐measures of their interest level in becoming secondary teachers were made. Overall, graduate students decreased in their desire to become secondary teachers. The main reasons were (1) fellows wanted to work with higher‐level mathematics and science; (2) fellows felt students were not behaved and unmotivated; (3) fellows did not view being a teacher as a career, but only as a job; and (4) fellows felt school systems had to do too many things that fellows did not want to do.     

The near-peer mathematical mentoring cycle: studying the impact of outreach on high school students’ attitudes toward mathematics

College students may be seen as near-peers to high school students and high school students are often able to see themselves in the college students who are but one step ahead. This nearness in maturity and educational level may place college students in a particularly powerful position when it comes to reaching out to high school students to promote higher education in math and science. In this study college students gave dynamic mathematics outreach presentations, MathShows, to minority and low-income high school students in a mid-sized public school district on the U.S. border with Mexico. The study investigated the impacts of this sort of outreach work on high school students’ attitudes towards mathematics using a mathematics attitudes survey. Results, obtained from N = 306 participants, showed statistically significant improvements in almost all components of mathematical attitudes, with less of an effect on the component of self-confidence in doing mathematics. Differences in impacts by specific student subgroups are all discussed.     

Students' use of STEM content in design justifications during engineering design‐based STEM integration

Engineering design‐based STEM integration is one potential model to help students integrate content and practices from all of the STEM disciplines. In this study, we explored the intersection of two aspects of pre‐college STEM education: the integration of the STEM disciplines, and the NGSS practice of engaging in argument from evidence within engineering. Specifically, our research question was: While generating and justifying solutions to engineering design problems in engineering design‐based STEM integration units, what STEM content do elementary and middle school students discuss? We used naturalistic inquiry to analyze student team audio recordings from seven curricular units in order to identify the variety of STEM content present as students justified their design ideas and decisions (i.e., used evidence‐based reasoning). Within the four disciplines, fifteen STEM content categories emerged. Particularly interesting were the science and mathematics categories. All seven student teams used unit‐based science, and five used unit‐based mathematics, to support their design ideas. Five teams also applied science and/or mathematics content that was outside the scope of the units' learning objectives. Our results demonstrate that students integrated content from all four STEM disciplines when justifying engineering design ideas and solutions, thus supporting engineering design‐based STEM integration as a curricular model.     

The impact of an out‐of‐school STEM education program on students’ attitudes toward STEM and STEM careers

There is an increasing awareness of out‐of‐school program value in enhancing student interest and understanding of science, technology, engineering, and mathematics (STEM). This study examined the impact of an out‐of‐school STEM education program on student attitudes toward STEM disciplines and STEM careers. A STEM education program implemented at a public research university was designed to integrate STEM disciplines with hands‐on problem‐based activities. Design features included authentic learning contexts, engineering design processes, and content integration. Data sources included an attitude survey and interviews conducted with forty sixth grade middle school student participants. The analysis revealed significant differences between pre and posttests on student attitudes toward personal and social implications of STEM, science and engineering learning, and their relationship to STEM. Findings showed that the program contributed to students’ developing interest in STEM fields, and helped them make connections between schoolwork and daily lives. Recommendations for future research on out‐of‐school STEM education programs were discussed.     

Student and Teacher Perspectives Across Mathematics and Science Classrooms: The Importance of Engaging Contexts

Substantial recent focus has been placed upon the competitiveness of American students in increasingly global economies and entrepreneurial enterprises. As concerns center on students’ educational preparedness and their efforts at continued learning, researchers acknowledge the importance of student engagement with school. In order to foster engaged learners, teachers must be able to determine and monitor their students’ levels of engagement. The current study examined the alignment of perceptions of engagement by students, teachers, and outside observers across middle and high school mathematics and science classrooms. Results indicated significant teacher‐student differences in perceptions of student cognitive engagement across mathematics and science classrooms with teachers consistently perceiving higher levels than students. Moreover, most effect sizes were moderate to large. A subsequent multi‐level analysis indicated that while teacher perceptions of student cognitive engagement were somewhat predictive of student reported cognitive engagement, academic engagement ratings by outside observers were not.     

Enriching Science and Math Through Engineering

This case study reviewed the collaborative efforts of university engineers, teacher educators, and middle school teachers to advance sixth‐ and seventh‐grade students' learning through a series of project‐based engineering activities. This two‐year project enriched regular school curricula by introducing real‐world applications of science and mathematics concepts that expanded opportunities for creativity and problem‐solving, introduced problem‐based learning, and provided after‐school programming (for girls only) led by engineering students from the local university. This engineering education initiative showed significant impact on students' (1) confidence in science and mathematics; (2) effort toward science and mathematics; (3) awareness of engineering; and (4) interest in engineering as a potential career. With regard to gender, there were no significant differences between boys' and girls' responses. The girls' confidence in their own skills and potential, however, was significantly more positive than the boys' confidence in the girls. These results gave rise to new questions regarding mentor/mentee relationships and the overall effect of “girls only” mentoring.     

Science and Mathematics Instruction in a Reform‐based Teacher Preparation Program

This study examined the science and mathematics instruction of teachers who were initially prepared by the Collaboratives for Excellence in Teacher Preparation program (CETP). The focus of this study was on examining the extent to which science and mathematics teachers used more reform‐oriented instructional practices in their classes when they entered the teaching profession. Data were gathered from twelve different CETP projects across the United States. A quasi‐experimental design was used where science and mathematics teachers who were initially prepared by the CETP program were followed into the field and compared to teachers who were not prepared by the CETP program. The results indicate that the teachers prepared by the CETP program used slightly more reform‐oriented instructional practices than teachers who were not prepared by the CETP program, although both mathematics and science teachers reported low levels of reform‐oriented instruction. Implications of results for large‐scale reform of science and mathematics teacher preparation are discussed.     

Secondary Options and Post‐secondary Expectations: Standards‐based Mathematics Programs and Student Achievement on College Mathematics Placement Exams

Research on student achievement within the University of Chicago School Mathematics Project (UCSMP) and Core‐Plus Mathematics Project (CPMP) at the secondary level is beginning to accumulate, however, much less is known about how prepared these students are for post‐secondary education. Therefore this study involving students within one tracked school district used multiple linear regression to examine the role of differential experience within two secondary Standards‐based mathematics programs, gender, and prior mathematics achievement on college algebra and calculus readiness placement test scores. Results show that there are no significant differences between students who had completed three and four years of the CPMP curriculum. UCSMP students with four or five years of experience significantly outperformed CPMP students on both assessments. Prior achievement was a significant predictor of student achievement on both examinations. Male students outperformed female students on the algebra placement exam. Students who had studied from both CPMP and UCSMP significantly outperformed students who had studied from CPMP for four years on the calculus readiness examination.