The relationship between learner control of CAI and locus of control among hispanic students

This study investigated achievement and motivation effects related to locus of control (internal and external) and three levels of learner control (no control, moderate control, and high control). The 101 seventh-grade and eighth-grade Hispanic subjects were classified as internal or external based on locus of control (loc) scores, blocked by sex and grade, then randomly assigned to the three levels of learner control in separate versions of a CAI instructional program in science. Internalloc subjects did not choose more en route practice than externals and did not perform better under high learner control. Theloc results raise questions about the usefulness of locus of control as it relates to instruction, at least with populations similar to the present one.     

Behavioral variability as a function of response topography and reinforcement contingency

Long-Evans rats were reinforced for generating variable sequences of responses on two operanda. The current sequence of four left and right responses was required to differ from each of the previous five sequences. Variability under thisvary schedule was compared with that under ayoke control schedule where reinforcement was independent of the sequences. Three different response topographies were compared: two levers were pressed in one case, two keys pushed in another, and two wires pulled in a third. Both reinforcement contingency (vary vs. yoke) and response topography (leverpress, key push, and wire pull) significantly influenced sequence variability. As is the case for operant dimensions, behavioral variability is jointly controlled by reinforcement contingency and response topography.     

Mathematics motivation and engagement: an independent evaluation of a complex model with Australian rural high school students

Most traditional models of academic motivation focus on a small number of specific factors. However, the Student Motivation and Engagement Scale (MES) (Martin, 2007b Martin, A.J. 2007b. The motivation and engagement scale, Sydney, , Australia: Lifelong Achievement Group.  [Google Scholar]) includes a fairly comprehensive range of perspectives on general student motivation. The current study set out (a) to provide an independent test of the proposed 11-factor structure of the MES for boys and girls when (b) applied to high school mathematics in Australia (N = 1014; Years 7 to 11). It also examined (c) the covariation of different facets of motivation and engagement with gender, year level, and scholastic achievement. The hypothesised 11-factor model fit reasonably well across gender, and there was clear evidence of specificity to maths compared to English achievement. Some gender and grade effects were observed as well. The study provides support for the value of the Martin model and its instrument. It also extends our knowledge of student motivation to mathematics in Australian rural high schools.     

Analyzing the teaching of advanced mathematics courses via the enacted example space

Examples are believed to be very important in developing conceptual understanding of mathematical ideas, useful both in mathematics research and instruction (Bills & Watson in Educational Studies in Mathematics 69:77–79, 2008; Mason & Watson, 2008; Bills & Tall, 1998; Tall & Vinner, 1981). In this study, we draw on the concept of an example space (Mason & Watson, 2008) and variation theory (Runesson in Scandinavian Journal of Educational Research 50:397–410, 2006) to create a lens to study how examples are used for pedagogical purposes in undergraduate proof-based instruction. We adapted the construct of an example space and extended its application to the constructs of example neighborhood, methods of example construction, and the functions of examples. We explained how to use our new lens to analyze the collection of examples and non-examples that the students had access to. We then demonstrate our method by analyzing the collection of examples and non-examples of a mathematical group the professor of an abstract algebra class presented during lectures or assigned to students in problem sets or exams.     

Differences in Self‐Concept among Children with Mathematics Disabilities and their Average and High Achieving Peers

Self‐concept ratings of children with mathematics disabilities (MD), average mathematics achievement (AA), and high mathematics achievement (HA) who attended regular classes in grades 4 through 6 were compared. Twenty‐four children in each group, who were selected from an original pool of 811 children, and who were matched one‐to‐one by grade, gender, and nonverbal ability participated in the study. The Culture‐Free Self‐Esteem Inventories (Battle, 1992 Battle J 1992 Culture‐Free Self‐Esteem Inventories: Examiner's manual (2nd ed.), Austin, TX:, Pro‐Ed  [Google Scholar]), a nonverbal ability test, and mathematics achievement tests were administered to all children. Results indicated a marginally significant difference in mathematics self‐concept between the MD and AA groups but no difference between the AA and HA groups. However, children with MD rated themselves more negatively than their HA peers on mathematics, academic, and global subscales. Interestingly, the group differences on academic and general self‐concept measures did not emerge when variations in mathematics self‐concept were controlled, limiting the difference between the MD and HA groups to mathematics self‐concept only. The results suggest that by focusing on children with a specific learning disability and by using domain‐specific academic self‐concept measures, the group differences could be shown to be limited to a subject‐specific self‐concept that is pertinent to the children's area of disability.     

Photovoice: understanding high school females’ conceptions of mathematics and learning mathematics

Photovoice is a participatory action research tool that is grounded in the literature for critical consciousness (Wang & Burris, 1997). Four creative high school girls who reported struggles with mathematics were given cameras and asked to take photographs to answer the following questions: (1) What is mathematics? (2) What is your ideal learning environment? (3) What things impede your learning of mathematics? Within-case and cross-case analyses of the photographs and interview responses were conducted. Each individual case was analyzed using the work of Belenky, Clinchy, Goldberger, and Tarule (Women’s Ways of Knowing, 1986) who investigated women’s epistemological perspectives. The girls were either silenced (disconnected from the mathematical knowledge of the teacher), received (lacked confidence to do mathematics independently), or “fragily” subjective (viewed mathematical knowledge as personal rather than imparted by the teacher) knowers of mathematics. The use of photovoice has the power to facilitate the nurturing of silence as it moves toward the “roar which is on the other side of silence” (Belenky et al., 1986, p. 4).     

Naturalising Ethics: The Implications of Darwinism for the Study of Moral Philosophy

The nature of moral values has occupied philosophers and educationalists for centuries and a variety of claims have been made about their origin and status. One tradition suggests they may be thoughts in the mind of God; another that they are eternal truths to be reached by rational reflection (much like the truths of mathematics) or alternatively through intuition; another that they are social conventions; and another (from the logical positivists) that they are not verifiable facts but simply the expression of emotional likes and dislikes. Standard introductory texts (e.g., Bowie 2004; Vardy and Grosch 1999) on the subject of ethics rarely mention Darwin or Darwinism (Mepham 2005 is a useful exception) possibly mindful of the fact that the relationship of evolutionary biology to moral questions has had a troublesome history. The effect of this has been that whole generations of moral philosophers have given the biological sciences a wide berth and consequently often remain poorly informed about recent advances in evolutionary thought and the neurosciences. On the other hand, scientists have developed interesting models of the evolution of the moral sentiments and are using new imaging techniques to explore the centres of the brain associated with emotion and motivation, but many have been fearful of committing the naturalistic fallacy and so have steered clear of extrapolating their findings to ethical questions. No one after all wants to be seen to be committing an elementary logical blunder. But in the last 20 years, evolutionary biologists have regained the confidence to explore the implications of evolution for the study of ethics (de Waal 1996; Wilson 1998; Wright 1994; Greene 2003). This paper is designed to encourage those entrusted with the teaching of ethics to be open to the potential of Darwinism as a source of ideas on the origins and status of ethical thought and behaviour. It is also hoped that it will illustrate for science educators the enormous explanatory power inherent in Darwinian thought.     

An easy-to-hard effect after nonreinforced preexposure in a sweetness discrimination

Experiments 1A and 1B used a taste-aversion procedure with rats to demonstrate that exposure to easily discriminated flavors along a dimension (1 % and 10 % sucrose) can facilitate learning a subsequent hard discrimination (4 % and 7 % sucrose) when one of those flavors is paired with illness. Experiment 1A compared the effects of preexposure to the easily discriminated flavors against exposure to the same stimuli used in the discrimination training or no exposure at all. Experiment 1B replicated the conditions in Experiment 1A, with 2 additional days of training and unrestricted access to the flavors on CS+/CS– trials in discrimination training. Contrary to findings with multidimensional stimuli (Scahill & Mackintosh, Journal of Experimental Psychology: Animal Behavior Processes, 30, 96–103, 2004; Suret & McLaren, The Quarterly Journal of Experimental Psychology, 56B, 30–42, 2003), we found that preexposure to the easily discriminable stimuli varying along a single dimension of sweetness facilitated subsequent discrimination training over the other conditions in each experiment. We discuss the results in terms of the ideas presented by Gibson (1969) and Mackintosh (Psychological Review, 82, 276–298, 1975) and in terms of hedonic variables not considered by theories of perceptual learning.     

“Jesus Loves Me, This I Know”: Finding a Rainbow God in Contemporary Adolescent Literature

This article explores four adolescent novels published between 1999 and 2010 specifically for the intersections of Christian faith and lesbian and gay sexual identities. Using cultural, queer, and ideological theories, the piece makes distinctions between progressive and traditional depictions of both Christianity and LGBTQ teen protagonists in Nancy Garden’s The Year They Burned the Books (1999), Laura Torres’s November Ever After (1999), Alex Sanchez’s The God Box (2007), and Mark Hardy’s Nothing Pink (2008).     

Development of a Short-Form Measure of Science and Technology Self-efficacy Using Rasch Analysis

Despite an increased focus on science, technology, engineering, and mathematics (STEM) in U.S. schools, today’s students often struggle to maintain adequate performance in these fields compared with students in other countries (Cheek in Thinking constructively about science, technology, and society education. State University of New York, Albany, 1992; Enyedy and Goldberg 2004; Mandinach and Lewis 2006). In addition, despite considerable pressure to promote the placement of students into STEM career fields, U.S. placement is relatively low (Sadler et al. in Sci Educ 96(3):411–427, 2012; Subotnik et al. in Identifying and developing talent in science, technology, engineering, and mathematics (STEM): an agenda for research, policy and practice. International handbook, part XII, pp 1313–1326, 2009). One explanation for the decline of STEM career placement in the U.S. rests with low student affect concerning STEM concepts and related content, especially in terms of self-efficacy. Researchers define self-efficacy as the internal belief that a student can succeed in learning, and that understanding student success lies in students’ externalized actions or behaviors (Bandura in Psychol Rev 84(2):191–215, 1977). Evidence suggests that high self-efficacy in STEM can result in student selection of STEM in later educational endeavors, culminating in STEM career selection (Zeldin et al. in J Res Sci Teach 45(9):1036–1058, 2007). However, other factors such as proficiency play a role as well. The lack of appropriate measures of self-efficacy can greatly affect STEM career selection due to inadequate targeting of this affective trait and loss of opportunity for early intervention by educators. Lack of early intervention decreases selection of STEM courses and careers (Valla and Williams in J Women Minor Sci Eng 18(1), 2012; Lent et al. in J Couns Psychol 38(4), 1991). Therefore, this study developed a short-form measure of self-efficacy to help identify students in need of intervention.     

Promoting role of an endophyte on the growth and contents of kinsenosides and flavonoids of Anoectochilus formosanus Hayata, a rare and threatened medicinal Orchidaceae plant

Anoectochilus formosanus, commonly known as “Jewel Orchid”, is a Chinese folk medicine used to treat hypertension, diabetes, and heart disease. The existence of A. formosanus is currently threatened by habitat loss, human and animal consumption, etc. The highly potent medicinal activity of A. formosanus is due to its secondary metabolites, especially kinsenosides and flavonoids. This orchid also has a unique mycorrhizal relationship. Most adult orchids rely on endophytes for mineral nutrition and have complex interactions with them, which are related to plant growth, yield and changes in secondary metabolites. This study investigated the promoting role of F-23 fungus (genus Mycena) on the biomass and contents of kinsenosides and flavonoids of A. formosanus in pot culture. The following were observed after 10 weeks of symbiotic cultivation: increased shoot height, shoot dry weight, and leaf numbers by 16.6%, 31.3%, and 22.5%, respectively; increased contents of kinsenosides, isorhamnetin-3-O-β-d-rutinoside, and isorhamnetin-3-O-β-d-glucopyranoside by 85.5%, 226.1%, and 196.0%, respectively; some hyphae in epidermal cells dyed red and/or reddish brown by safranine; and, significantly reduced number of starch grains in cortical cells. Moreover, F-23 fungus significantly improved the kinsenoside and flavonoid contents of A. formosanus. These findings supported the reports that endophytes can alter the production of secondary metabolites in their plant hosts, although further physiological, genetic and ecological analyses are warranted.     

Examination of a Scale Assessing Attitudes towards Individuals with Intellectual Disability in China

This study examined the applicability of the four-factor structure of the short form of the Community Living Attitudes Scale-Intellectual Disability¹¹ We chose to use the term “intellectual disability” to replace the term “mental retardation” in the original CLAS-MR scale to conform with the terminology in current usage. (CLAS-ID) in China, using a sample of 325 Chinese community members. Confirmatory factor analysis revealed that the original structure of the short form of the CLAS-ID did not adequately fit the data from the current sample. Most items of the Exclusion and Similarity subscales were retained while items on the Empowerment and Sheltering subscales were removed. Chinese community members held generally positive attitudes towards people with intellectual disability. However, a measurement tool originating from the Chinese context is needed to provide a better understanding of attitudes towards individuals with intellectual disability in mainland China.     

The influence of partner cues on the extinction of causal judgments in people

Studies in laboratory animals have shown that the extinction of a conditioned stimulus, A, is regulated by the associative history of a second stimulus, X, when the two are extinguished in simultaneous compound: An inhibitory X protects A from extinction (Rescorla Learning & Behavior, 31, 124–132, 2003), whereas an excitatory X facilitates, and under some circumstances deepens, the extinction of A (Rescorla Journal of Experimental Psychology: Animal Behavior Processes, 26, 251–260, 2000, Journal of Experimental Psychology: Animal Behavior Processes, 32, 135–144, 2006). In the present study, we used the allergist task to examine whether the extinction of causal judgments in people is similarly regulated by the causal status of co-present stimuli. Experiment 1 showed that a cue trained as a conditioned inhibitor protected a target cue from extinction: The target extinguished in compound with the inhibitor was rated as being more causal of the outcome than was a target extinguished in compound with a control cue lacking inhibitory properties. In contrast, the remaining experiments showed that the extinction of a target cue was regulated by the presence, but not the causal status, of a partner cue: Target cues extinguished in compound were protected from extinction, and no evidence showed that an already extinguished partner conferred more protection (Exp. 2), or that an excitatory partner conferred any less protection (Exps. 2 and 3), or that an excitatory partner deepened the extinction of its already extinguished target. These findings are inconsistent with elemental models that rely on a common error term to explain associative changes in extinction. They are largely, but not completely, consistent with the configural model proposed by Pearce (Psychological Review, 94, 61–73, 1987), which predicts an ordering of levels of protection that was not observed.     

A Simple Technique for Determining Whether Children Know the Meaning of Spelling Words

ABSTRACT

Empirical research has provided evidence supporting the validation and prediction of 4 major sources of self-efficacy: enactive performance accomplishments, vicarious experiences, verbal persuasion, and emotional states. Other research studies have also attested to the importance and potency of self-efficacy in academic learning and achievement. Despite this emphasis, very few, if any, research has explored the impact of the 4 sources of information on self-efficacy from a developmental perspective. The author used latent growth modeling to explore the impact of the 4 sources of information on self-efficacy over 4 occasions. This methodological approach, similar to recent studies (Caprara et al., 2008 Caprara, G. V., Fida, R., Vecchione, M., Del Bove, G., Vecchio, G. M., Barbaranelli, C. and Bandura, A. 2008. Longitudinal analysis of the role of perceived self-efficacy for self-regulated learning in academic continuance and achievement. Journal of Educational Psychology, 100: 525–534. [Crossref], [Web of Science ®] , [Google Scholar]), is significant, as it allowed the author to trace the developmental trajectories of elementary school children's self-efficacy beliefs in English and mathematics over time. Three hundred and thirty-nine 3rd- and 4th-grade students (147 girls, 192 boys) took part in this study. Two Likert-type inventories were administered and the data collected were analyzed with the statistical software SPSS AMOS 18. Causal modeling analyses indicated that children's self-efficacy for English and mathematics learning increased over time. Furthermore, of the 4 informational sources, enactive performance accomplishments associated closely with the growth of change of English and mathematics self-efficacy beliefs. Children's emotional states also associated negatively with the growth of change of mathematics self-efficacy. Enactive performance accomplishments and verbal persuasion associated positively with the initial levels of English and mathematics self-efficacy. Finally, the results provide methodological support for the psychometric properties of the inventories used.     

Some aspects of children's ability to solve mathematical problems

This survey presents the essentials of a study concerning problem solving ability in children aged 12–13. It forms part of a large project concerning the impact of calculators and computers in school mathematics and the consequences for certain basic abilities. The contents of the survey are in brief:

? definition of problem solving ability;

? test construction;

? interviews;

? supplementary investigations.

     

Measurement Issues in the Alignment of Standards and Assessments

Abstract

This study examined the impact of rater agreement on decisions concerning the alignment between the Golden State Examination in High School Mathematics (California Department of Education, 2001a Academic Senate of the California State University. 1997. Statement on competencies in mathematics expected of entering college students Sacramento, CA: Author.  [Google Scholar]) and the University of California (UC) Statement on Competencies in Mathematics Expected of Entering College Students (Academic Senate of the California State University, 1997 Academic Senate of the California State University. 1997. Statement on competencies in mathematics expected of entering college students Sacramento, CA: Author.  [Google Scholar]). The UC faculty and high school mathematics teachers (N = 20) rated the mathematics items of the Golden State Examination relative to the expectations identified in the UC competency statement, identifying item features related to content and dimensionality. Raters assigned values for a primary topic, a secondary topic, item/topic centrality, and depth of knowledge. Agreement within these criteria was the basis of the assessment of alignment. Results showed considerable variability in judgments across raters and different pictures of alignment depending on the particular subset of raters providing the ratings. A few differences emerged between rater types.     

Linear Algebra Students' Understanding of Similar Matrices and Matrix Representations of Linear Transformations in a MATLAB-Assisted Learning Environment

Abstract

The purpose of this research study was to understand how mathematics majors make sense of similar matrices, a linear algebra topic that is rich in internal and external connections, in a series of in-depth qualitative interviews in a technology-assisted (MATLAB) learning environment. The study was also an attempt to develop a cognitive theory in mathematics majors’ treatment of similar matrices and matrix representations of linear transformations in a computer-assisted learning environment by drawing primarily on three aspects of the experimental mathematics methodology, made possible by using modern digital tools to enhance learning: testing conjectures, suggesting proofs, and, computing lengthy hand derivations (Borwein &; Bailey, 2003 Borwein, J. M., &; Bailey, D. H. (2003). Experiments in mathematics: Computational paths to discovery. Natick, MA: AK Peters. [Google Scholar]). The analysis revealed a diversity of innovative ways by which research participants coordinated analytic and computational (MATLAB) methods for understanding matrix similarity and its connections to the rest of linear algebra. The paper concludes by offering pedagogical implications and recommendations for further research.     

One School, Many Differences: An Assessment Tool for School Counselors and Multicultural Counseling

Multicultural counseling competencies (MCCs) have typically been measured with instruments designed for and normed on mental health professionals – for example, MCCTS-R; Holcomb-McCoy (Professional School Counseling 4:195–208, 2001); MCI; Sodowsky et al. (Journal of Counseling and Development 41:137–148, 1994); D’Andrea et al. (Journal of Counseling & Development 70:143–150, 1991). One published instrument specifically assesses school counselor MCCs – MCCTS-R; Holcomb-McCoy (Professional School Counseling 4:195–208, 2001) – but it does not conform to ASCA standards (2010, E.2). Following a set of validation procedures, an instrument designed to specifically assess school counselors’ multicultural counseling competencies was created that conforms to American School Counselor Association and Association for Multicultural Counseling and Development standards. Its creation is detailed here and the resulting instrument is presented for examination and consideration.     

TPACK and Pre-Service Teacher Mathematics Education: Defining a Signature Pedagogy for Mathematics Education Using ICT and Based on the Metaphor “Mathematics Is a Language”

National professional standards for teachers in Australia (AITSL, 2011) expect teacher education graduates to demonstrate technological, pedagogical and content knowledge (TPACK). Those standards have emerged concurrently with the development of a new Australian mathematics curriculum. Thus, the expectation is that graduates can demonstrate the use of information and communication technologies in mathematics teaching and learning. The authors argue that “signature pedagogy” (Shulman, 2005 Shulman, L. S. 1986. Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2): 4–14. [Crossref] , [Google Scholar]) is the use of a key metaphor which views mathematics as a language and suggests that mathematics should be taught and learned as any other language. This article provides a summary of the findings of an action research project involving two cohorts of undergraduate mathematics education students in an Australian university. Data collected was used to inform targeted changes to improve the technological pedagogical approach employed by the course team across two offers of the course to enhance student learning and align the course with the expectations for graduate teachers. The implications of this action research are provided to inform the design and implementation of pre-service teacher education courses with respect to the development of TPACK capabilities specifically in mathematics education.