Attitudes of high-school students taught using traditional and reform mathematics curricula in middle school: a retrospective analysis

This paper presents findings from a larger research project that provides insight into the attitudes of high-school students who were taught using different types of mathematics curricula when they were in middle school. A total of 44 12th-grade students from 10 high schools in the same urban school district were interviewed. Eighteen (41%) of them had been taught using a reform curriculum in middle school and 26 (59%) had been taught using a more traditional curriculum. Using Di Martino and Zan’s three-dimensional model for attitude, we found that the high-school seniors who had been taught using the reform curriculum in middle school harbored attitudes toward mathematics that differed significantly from the attitudes of those who had been taught using a traditional curriculum in middle school. Our analysis of the student interviews culled seven themes that provide fine-grained information about the students’ attitudes toward mathematics. Significantly greater percentages of reform students than traditional students had a relational Vision of mathematics as opposed to an instrumental Vision; however, there was no significant difference between the proportions of reform and traditional students who had a positive Emotional Disposition toward mathematics or a positive Perceived Competence in mathematics.     

Chinese primary school mathematics teachers working in a centralised curriculum system: a case study of two primary schools in North‐East China

Mainland China has a highly centralised curriculum development system. A study of two schools in northeast China, one in a rural area and the other in an urban area, indicates that the primary mathematics curriculum has been widely adopted by teachers at the classroom level. Feeling the intense pressure generated by the national mathematics Olympiad,1 1. The mathematics Olympiad is a type of ‘extracurricular’ activity that aims to promote students' interest and improve their ability in mathematics. Students participating in the competition are required to complete some challenging and non‐routine mathematical operations. The international mathematics Olympiad is held every year. In Mainland China, this competition is commonly organised at city, provincial and national level. Students who perform exceptionally well are exempted from the highly competitive national university entrance examinations for entry to universities View all notes teachers in the urban school tended to give more difficult mathematics problems to their students in the hope that above‐average students would perform well in the competition. In the rural school, the ability of students was more varied and generally lower. Teachers there worked very hard to push their students to meet the national requirements. The driving force behind this was the county‐wide public examination in which students' performance was taken as an indicator of teachers' competence. Teachers in both schools also have not taken effective steps to adapt the curriculum for students' individual differences. A comparison of the practices between the teachers in the two schools suggests that teachers' beliefs, their professional knowledge and skills shape their inclination and ability in curriculum adaptation and differentiation.     

The effect of Newsday's science education series program on selected ninth-grade students' comprehension of science reading material

Reading is a communication process that is crucial to students in science. Printed text materials are the most widely used teacher aids in the classroom. But reading as a major focus of science instruction has been out of favor with the mainstream of science education since the late 1950s. Despite this, few would deny the value of reading skills in a science class. The purpose of the present investigation was to determine how the use of Newsday's Science Education Series Program affected selected ninth-grade students' comprehension of science reading material. Analysis of covariance showed that students with standardized reading and mathematics scores at least two years above grade level who were taught using newspaper science articles alone had Degrees of Reading Power posttest scores higher at the 0.05 level of significance compared to students taught using Newsday's Science Education Series Program or using only the science article's content as part of class lessons. Students with standardized reading and mathematics scores on grade level taught using Newsday's Science Education Series Program had Degrees of Reading Power posttest scores higher at the 0.01 level of significance compared to students taught by either of the other methods.     

Hard and soft choices? Subject selection by schools and students

We present an analysis of A-level subject choices at around age 16 for a cohort of students in English schools who completed their studies in 2014. We examined both the National Pupil Database and a unique rich dataset on the subject preferences and subsequent choices between the ages of 16 and 18 (i.e. GCSE and A-level). We found substantive differences between students’ preferences and actual choices of ‘hard’ and ‘soft’ post-16 subjects (i.e. A-level). These differences were strongly associated with falsification of students’ expectations of examination grades taken at age 16 (i.e. GCSE) in the core subjects of English and mathematics. The sizes of these falsification effects were much larger than other significant associations such as gender, ethnicity, and social class. This suggests that subject choices are not rigidly framed by stable individual preferences and they are therefore open to influence from new information, persuasion, and opportunities.     

Science choices and preferences of middle and secondary school students in Utah

This research sought to answer two questions: (1) What are Utah junior and senior high school students' preferences and choices regarding science subjects? (2) Could preferences and choices be related to the type of school, age or gender? Two thousand students from grades six through twelve participated in this study. Findings show that zoology and human anatomy and physiology were most preferred. Ecology was least prefered. Topics in the physical sciences were also low. There was a trend among girls to prefer natural sciences such as botany while boys tended to prefer the physical sciences. Generally, students' choices were limited to those subjects presently taught in the formal school curriculum. They appeared unaware of the many science related subjects outside the texts or the approved course of study.     

The impacts of an early mathematics curriculum on oral language and literacy

Competence in early mathematics is crucial for later school success. Although research indicates that early mathematics curricula improve children's mathematics skill, such curricula's impacts on oral language and early literacy skills are not known. This project is the first to investigate the effects of an intensive pre-kindergarten mathematics curriculum, Building Blocks, on the oral language and letter recognition of children participating in a large-scale cluster randomized trial project. Results showed no evidence that children who were taught mathematics using the curriculum performed differently than control children who received the typical district mathematics instruction on measures of letter recognition, and on two of the oral language (story retell) subtests, sentence length and inferential reasoning (emotive content). However, children in the Building Blocks group outperformed children in the control group on four oral language subtests: ability to recall key words, use of complex utterances, willingness to reproduce narratives independently, and inferential reasoning (practical content).     

Undergraduates Achieve Learning Gains in Plant Genetics through Peer Teaching of Secondary Students

This study tests the hypothesis that undergraduates who peer teach genetics will have greater understanding of genetic and molecular biology concepts as a result of their teaching experiences. Undergraduates enrolled in a non–majors biology course participated in a service-learning program in which they led middle school (MS) or high school (HS) students through a case study curriculum to discover the cause of a green tomato variant. The curriculum explored plant reproduction and genetic principles, highlighting variation in heirloom tomato fruits to reinforce the concept of the genetic basis of phenotypic variation. HS students were taught additional activities related to mole­cular biology techniques not included in the MS curriculum. We measured undergraduates’ learning outcomes using pre/postteaching content assessments and the course final exam. Undergraduates showed significant gains in understanding of topics related to the curriculum they taught, compared with other course content, on both types of assessments. Undergraduates who taught HS students scored higher on questions specific to the HS curriculum compared with undergraduates who taught MS students, despite identical lecture content, on both types of assessments. These results indicate the positive effect of service-learning peer-teaching experiences on undergraduates’ content knowledge, even for non–science major students.     

High School Students’ Learning and Perceptions of Phylogenetics of Flowering Plants

Basic phylogenetics and associated “tree thinking” are often minimized or excluded in formal school curricula. Informal settings provide an opportunity to extend the K–12 school curriculum, introducing learners to new ideas, piquing interest in science, and fostering scientific literacy. Similarly, university researchers participating in science, technology, engineering, and mathematics (STEM) outreach activities increase awareness of college and career options and highlight interdisciplinary fields of science research and augment the science curriculum. To aid in this effort, we designed a 6-h module in which students utilized 12 flowering plant species to generate morphological and molecular phylogenies using biological techniques and bioinformatics tools. The phylogenetics module was implemented with 83 high school students during a weeklong university STEM immersion program and aimed to increase student understanding of phylogenetics and coevolution of plants and pollinators. Student response reflected positive engagement and learning gains as evidenced through content assessments, program evaluation surveys, and program artifacts. We present the results of the first year of implementation and discuss modifications for future use in our immersion programs as well as in multiple course settings at the high school and undergraduate levels.

Just as beginning students in geography need to be taught how to read maps, so beginning students in biology should be taught how to read trees and to understand what trees communicate. O’Hara (1997 , p. 327)

     

Effect of an environmental science curriculum on students' leisure time activities

Cooley and Reed's active interest measurement approach was combined with Guttman's Facet Design to construct a systematic instrument for the assessment of the impact of an environmental science course on students' behavior outside school. A quasimatched design of teacher allocation to the experimental and control groups according to their preferred teaching style was used. A kind of dummy control curriculum was devised to enable valid comparative evaluation of a new course which differs from the traditional one in both content and goal. This made it possible to control most of the differing factors inherent in the old and new curriculum. The research instrument was given to 1000 students who were taught by 28 teachers. Students who learned according to the experimental curriculum increased their leisure time activities related to the environmental science curriculum significantly. There were no significant differences between boys and girls and between students with different achievement levels.     

Curricular orientations,experiences, and actions: Graduate students in science and mathematics fields work in urban high school classrooms

We examined curricular orientations that graduate students in science and mathematics fields held as they experienced urban high‐school science and mathematics classrooms. We analyzed how these educators (called Fellows) saw themselves, students, teachers, schools, education, and the sense they made of mathematics and science education in urban, challenging settings in the light of experiences they brought with them into the project and experiences they designed and engaged in as they worked in classrooms for 1 or 2 years. We used Schubert's (Schubert (1997) Curriculum: Perspective, paradigm, and possibility. New Jersey: Prentice‐Hall, Inc.) four curricular orientations—intellectual traditionalism, social behaviorism, experientialism, and critical reconstructionism—to analyze the Fellows' journals, and to explore ways in which the positions they portrayed relative to curriculum, instruction, assessment, social justice, discipline, student involvement, teacher's role, subject‐matter nature, etc., shaped and were shaped by who they were before and during their classroom work. Our qualitative analysis revealed various relationships including: experientialists engaged in more open‐ended projects, relevant to students, with explicit connections to everyday‐life experiences; social behaviorists paid more attention to designing “good” labs and activities that taught students appropriate content, led them through various steps, and modeled good science and mathematics; and critical reconstructionists hyped up student knowledge and awareness of science issues that affect students' lives, such as asthma and HIV epidemic. Categorizing orientations and identifying relationships between experiences, actions, and orientations may help us articulate and explicate goals, priorities, and commitments that we have, or ought to have, when we work in urban classrooms. © 2008 Wiley Periodicals, Inc. J Res Sci Teach 46: 1–26, 2009     

Learning as Participation in Social Practices: Interpreting student perspectives on learning

This article explores a small group of students' observations on their learning as they come to the end of an A-level Politics course. It draws on the insights of Vygotsky and other theorists influenced by him, such as Lave, Wenger, Rogoff and Engestro¨m, who have made important contributions to study of the social and participatory nature of learning, particularly, but not exclusively, in contexts outside the school environment. These ideas illuminate the 'communities of practice' found within educational institutions. The students' perspectives reveal perceptions about the learning process and provide a sense of what they have valued during this phase of their studies. Whilst education in formal environments may be criticised for the constraints on learning, classrooms may promote activity that encourages learners to identify their problems with existing knowledge, to question and speculate in ways that transform understanding. Collaborative practices have enabled students to enhance understanding of subject knowledge and to develop skills.     

Pictorial representations of simple arithmetic problems are not always helpful: a cognitive load perspective

This study examined immigrant parents’ involvement in early years mathematics learning, focusing on learning of multiplication in in- and out-of-school settings. Ethnographic interviews and workshops were conducted in an urban city in Japan, to examine out-of-school practices of immigrant families. Drawing from sociocultural theory of learning and the concept of appropriation (Wertsch, 1998), the role of power and identity was examined in relation to children’s appropriation of an informal multiplication method that was taught by their parents. An intergenerational analysis, between immigrant parents and their children, revealed heterogeneous perspectives towards appropriation. Immigrant parents in this study framed their involvement in their children’s early years mathematics learning in relation to their positional identities and the pressures to conform to the mainstream practices of their host country. During their early years of schooling, students in this study were already aware of academic tracking in the school and were aware of what was believed to be legitimate in school mathematics learning. The significance of diversifying mathematics curriculum and pedagogy was discussed to affirm the knowledge and identities of immigrant students and families.     

Engaging Primary School Students in Mathematics: Can iPads Make a Difference?

Research on the impact of the integration of technologies such as iPads on primary students’ attitudes and engagement in mathematics is limited. Further, there have been claims that teachers’ pedagogical choices can strongly influence the effectiveness of iPads for engaging students in mathematics. This paper presents an investigation of the influence of teaching and learning mathematics with iPads on students’ attitudes and engagement in mathematics. The participants in this study were students in a large urban primary school, implementing an iPad program for teaching and learning across the curriculum. Surveys with five-point Likert-type items were used to measure students’ attitudes to mathematics. Students from Years 2 to 6 completed the survey at the beginning and end of two consecutive school years. Survey results suggested that iPad use in mathematics has the potential to impact positively on students’ attitudes to mathematics. At the end of the second year of the study, semi-structured interviews were conducted with teachers and students. The interview responses confirmed that iPads had a positive influence on students’ engagement and attitudes to mathematics, and that the pedagogical approaches utilised by teachers for embedding iPads in their mathematics lessons contributed positively to these outcomes.     

Integrating Technology and a Standards-Based Pedagogy in a Geometry Classroom

Abstract

A mature mathematics teacher (one in the latter stages of a successful career in teaching secondary mathematics) sought support in making a paradigm shift to a technology-integrated pedagogy in the context of a state's emerging standards-based curriculum. The teacher had concerns regarding his ability to make the paradigm shift, but he was willing to make the effort because he believed that integrating technology as an instruction/production tool would increase student achievement in mathematics. This article describes the teacher's experience. Students in two of his three high school geometry classes were introduced to altered teaching methods involving technology. The first class created instructional modules using presentation and Web page software, and a second class used student-created instructional modules. A third geometry class received traditional instruction based on text and lecture. Two topics, angles and circles, were taught using this format. Another topic, lines, was taught traditionally to all three classes. Interestingly, students across the three groups had numerically higher end-of-unit test scores for both lines and circles, much more acceptable to the teacher, than for angles. Recommendations are in order in regard to teacher support for technology integration.     

A Cross-Cultural Study of Intellectual and Nonintellectual Factors Influencing Mathematical Ability in Tibetan and Han Students

We have already conducted cross-cultural studies of mathematical thinking ability and the capacity to study the schools' mathematics curriculum of Tibetan and Han students. Our study methods and results have been discussed in detail in "Study on the Differences in the Development of Mathematical Thinking Ability of Tibetan and Han Children"¹ and "Comparative Study of the Development of Mathematical Ability in Han and Tibetan Secondary School Students."² The results of the study show that Tibetan students' mathematical thinking ability and capacity to learn the school mathematics curriculum are lower than these skills in Han students in the same locality. What produces these differences? And what are the influences affecting the development of Tibetan and Han students' ability to think mathematically? In the previous studies, we carried out preliminary analysis on school conditions, family environment, language, and other areas, but analyzing these external factors is insufficient to explain these differences. Educational circles in China and overseas have recently considered that the primary factors influencing learning activities were intelligence and nonintelligence psychological factors. Therefore we can only accurately state the reasons for the differences in mathematical ability of Tibetan and Han students by analyzing the individuals' intellectual and nonintellectual factors. There have been studies that have looked at the influences of intellectual and nonintellectual factors in students' schoolwork, but they are usually limited to the Han nationality and only deal with cross-cultural issues in their conclusions. We therefore went to Tibetan areas to carry out field-work to examine the differences in mathematical ability of Tibetan and Han students. This paper endeavors to analyze the data comprehensively in order to probe the intellectual and nonintellectual factors influencing the development of mathematical ability in Tibetan and Han students.     

高师数学实验课的特殊地位和价值

师范生在未来的数学教育教学工作中肩负着培养中小学生的数学探究能力和创造能力的重任,高师院校的数学实验兼而负有一种特殊任务：让高师学生学会怎样在IT环境下“学数学”和“教数学”。高师数学实验课的课程开发具有特殊性。     

Integrating mathematics,science, and technology: effects on students

Few studies have examined the student learning effects of integrating science with mathematics and technology. We compared a school that integrated mathematics, science and technology in grade 9 to a school in the same district that taught the three courses separately. The distinguishing feature of the integrating school was the reorganization of instruction in the three subjects to prepare students for seven group projects (involving a total of 25 h) that required the application of knowledge and skill that were shared by the three subjects, as well as learning outcomes that were unique to each. The study detected benefits for students in the integrated setting in terms of their ability to apply shared learning outcomes, student motivation, ability to work together and attitudes to appraisal of group work. Female students in the integrated school had a better understanding of selected science learning outcomes. Attitudes toward mid‐term exams were higher in the control school.

     

高考改革试点中家长对选科的 认识及意向的调查分析

家长是高考改革重要的利益相关者，其对选科的认识及意向是学生选科的重要影响因素。调查显示：家长对孩子在校课程学习和高考选科关注度较高，但对相关政策的了解有待深入；家长与孩子的选科意向及意向学科组合总体趋势较为一致；家长对孩子大学专业报考的初步意向集中在教育学、经济学、理学、医学等专业上，较为尊重孩子的选科及专业报考意向，赞同根据兴趣、能力、成绩及大学招生要求进行综合选择。根据家长对高考高度关注但实际了解程度偏低、新高考赋予更多选择权但家长的选择取向相对集中、家长和学生选择意向的趋利性特点突出、家校社协同机制有待形成等实际，还需进一步推动高考制度设计在试点中持续优化，发挥高校在招生和育人中的导向作用，推进高中学校育人方式改革，构建家校社协同机制以增进社会理解，从而加强对家长和学生选科选考的指导。     

Politics,Culture, and School Curriculum: The struggles in Hong Kong

The purpose of this paper is to describe the Hong Kong (HK) school curriculum, especially the general curriculum for civic education and other social subjects, in relation to the political events of the 1984 Sino-British Joint Declaration, the 1989 Tiananmen Square Incident, and the return of HK's sovereignty from the United Kingdom (UK) to the People's Republic of China (PRC) in 1997. This paper will argue that since 1984, the school curriculum of HK has been marked by tensions brought about by political cultures shaped by the UK and the PRC, the bureaucratic mechanisms of which are used to make sure that those curriculum contents that are judged to be politically correct are taught in school. Over the last two decades the school curriculum has been depicted as being shaped by the emergence of the nation-state and the transfer of sovereignty. Granted that political and national education forms part of the school culture, the question of how to shape students to be patriotic through the curriculum will continue to be contentious.