Explicating <Emphasis Type=Italic>mathematical concept</Emphasis> and <Emphasis Type=Italic>mathematicalconception</Emphasis> as theoretical constructs for mathematics education research

Mathematical understanding continues to be one of the major goals of mathematics education. However, what is meant by “mathematical understanding” is underspecified. How can we operationalize the idea of mathematical understanding in research? In this article, I propose particular specifications of the terms mathematical concept and mathematical conception so that they may serve as useful constructs for mathematics education research. I discuss the theoretical basis of the constructs, and I examine the usefulness of these constructs in research and instruction, challenges involved in their use, and ideas derived from our experience using them in research projects. Finally, I provide several examples of articulated mathematical concepts.     

Polymorphisms of the <Emphasis Type=Italic>IGF1</Emphasis> gene and their association with growth traits,serum concentration and expression rate of <Emphasis Type=Italic>IGF1</Emphasis> and <Emphasis Type=Italic>IGF1R</Emphasis> in buffalo

The insulin-like growth factor 1 (IGF1) gene is a member of the group of somatotropin axis genes that play a significant role in cell proliferation and growth of muscles. Here, we searched for polymorphisms in buffalo IGF1 and found two novel single nucleotide polymorphisms (SNPs), G64A and G280A, in the noncoding sequences of exon 1 and exon 4, respectively. Statistical analysis of different genotypes showed that the individuals with GG genotypes had significantly (P<0.05) higher body weight (BW) and average daily gain (ADG) than those with other genotypes at ages of 3–6 months in G64A SNP and 6–9 months in G280A SNP. The combined genotypes of these two SNPs produced three haplotypes, GG/GG, AG/AG, and AA/AA, which were significantly associated (P<0.0001) with BW and ADG at an age from 3 to 12 months. Buffaloes with the homozygous GG/GG haplotype showed higher growth performance than other buffaloes. The two SNPs were correlated with mRNA levels of IGF1 and IGF1 receptor (IGF1R) in semitendinosus muscle as well as with the serum concentration level of IGF1. Also, buffaloes with GG/GG haplotype showed higher mRNA and serum concentration levels. The data revealed that these two SNPs could be valuable genetic markers for selection of Egyptian buffaloes for better performance in the population.     

Antibacterial and anti-biofilm activity of the lipid extract from <Emphasis Type=Italic>Mantidis ootheca</Emphasis> on <Emphasis Type=Italic>Pseudomonas aeruginosa</Emphasis>

The aim of this study is to assess the antibacterial and anti-biofilm properties of the lipid extract from Mantidis ootheca against the gentamycin resistant Pseudomonas aeruginosa. The chemical composition of the lipid extract and its relative proportion were determined using the technique of gas chromatography coupled with mass spectrometry (GC-MS). Antibacterial susceptibility tests were performed using a disc diffusion assay and the minimum inhibition concentration (MIC) was determined by way of the agar dilution method. The anti-biofilm test was carried out with crystal violet staining and scanning electron microscopy (SEM). There were 16 compounds detected, and the most abundant components were sesquiterpenoids, monoterpenes, and trace aromatic compounds. The MIC for P. aeruginosa was 4 mg/ml and the eradication effect on preformed biofilms was established and compared with a ciprofloxacin control. The results of our study indicated that a lipid extract from M. ootheca could be used as a topical and antibacterial agent with anti-biofilm activity in the future.     

Measuring change in career counseling: Validation of the <Emphasis Type=Italic>Career Futures Inventory</Emphasis>-<Emphasis Type=Italic>Revised</Emphasis>

This retrospective chart review study examined the factor structure of the Career Futures Inventory-Revised (CFI-R; Rottinghaus et al. in J Career Assess 20:123–139, 2012) and its utility as a career counseling outcome measure using a sample of 332 clients from a university career center. The CFI-R examines career agency and other career adaptability dimensions germane to clients’ career concerns. Confirmatory factor analysis results supported the proposed factor structure. Changes in CFI-R scale scores are reported for 116 clients who received counseling. The use of the CFI-R as an effectiveness outcome measure for individual, group, and classroom career interventions is addressed.     

Insecticidal activity of the medicinal plant, <Emphasis Type=Italic>Alstonia boonei</Emphasis> De Wild,against <Emphasis Type=Italic>Sesamia calamistis</Emphasis> Hampson

The bioactivity of the aqueous extracts of the leaf and stem bark of the medicinal plant, Alstonia boonei De Wild (Apocyanaceae), against the pink stalk borer, Sesamia calamistis Hampson (Lepidoptera: Noctuidae) was studied in a laboratory bioassay. The extracts were incorporated into artificial diet at a rate of 0.0% (control), 1.0%, 2.5%, 5.0%, and 10.0% (w/w). Both extracts significantly (P<0.01) reduced larval survival and weight in a dose dependent manner. The concentrations that killed 50% of the larvae (LC50) for the stem bark extract were 2.8% and 2.1% at 10 and 20 DAI (days after introduction), respectively, while those for the leaves extract were 5.6% and 3.5%. The weights of the larvae also varied significantly (P<0.05) between the treatments in a dose dependent manner. We conclude that both leaf and stem bark extracts of A. boonei are toxic, used as growth inhibitors to S. calamistis larvae, and hold good promise for use as alternative crop protectants against S. calamistis.     

In vitro assessment of gastrointestinal viability of two photosynthetic bacteria, <Emphasis Type=Italic>Rhodopseudomonas palustris</Emphasis> and <Emphasis Type=Italic>Rhodobacter sphaeroides</Emphasis>

The objectives of this study were to assess the potential of two photosynthetic bacteria （PSB）, Rhodopseudomonas palustris HZ0301 and Rhodobacter sphaeroides HZ0302, as probiotics in aquaculture. The viability of HZ0301 and HZ0302 in simulated gastric transit conditions （pH 2.0, pH 3.0 and pH 4.0 gastric juices） and in simulated small intestinal transit conditions （pH 8.0, with or without 0.3% bile salts） was tested. The effects of HZ0301 and HZ0302 on the viability and permeability of intestinal epithelial cell in primary culture of tilapias, Oreochrornis nilotica, were also detected. All the treatments were deter- mined with three replicates. The simulated gastric transit tolerance of HZ0301 and HZ0302 strains was pH-dependent and correspondingly showed lower viability at pH 2.0 after 180 min compared with pH 3.0 and pH 4.0. Both HZ0301 and HZ0302 were tolerant to simulated small intestine transit with or without bile salts in our research. Moreover, there was no significant difference （P〉0.05） among three treatments including the control and the groups treated with HZ0301 or HZ0302 both in intestinal epithelial cell viability and membrane permeability, showing no cell damage. In summary, this study demonstrated that HZ0301 and HZ0302 had high capacity of upper gastrointestinal transit tolerance and were relatively safe for intestinal epithelial cells of tilapias.     

Science teacher identity and eco-transformation of science education: comparing Western modernism with Confucianism and reflexive <Emphasis Type=Italic>Bildung</Emphasis>

This forum article contributes to the understanding of how science teachers’ identity is related to their worldviews, cultural values and educational philosophies, and to eco-transformation of science education. Special focus is put on ‘reform-minded’ science teachers. The starting point is the paper Science education reform in Confucian learning cultures: teachers’ perspectives on policy and practice in Taiwan by Ying-Syuan Huang and Anila Asghar. It highlights several factors that can explain the difficulties of implementing “new pedagogy” in science education. One important factor is Confucian values and traditions, which seem to both hinder and support the science teachers’ implementation of inquiry-based and learner-centered approaches. In this article Confucianism is compared with other learning cultures and also discussed in relation to different worldviews and educational philosophies in science education. Just like for the central/north European educational tradition called Bildung, there are various interpretations of Confucianism. However, both have subcultures (e.g. reflexive Bildung and Neo-Confucianism) with similarities that are highlighted in this article. If an “old pedagogy” in science education is related to essentialism, rationalist-objectivist focus, and a hierarchical configuration, the so called “new pedagogy” is often related to progressivism, modernism, utilitarianism, and a professional configuration. Reflexive Bildung problematizes the values associated with such a “new pedagogy” and can be described with labels such as post-positivism, reconstructionism and problematizing/critical configurations. Different educational approaches in science education, and corresponding eco-identities, are commented on in relation to transformation of educational practice.     

Comparative studies on phenotypic plasticity of two herbs,<Emphasis Type=Italic>Changium smyrnioides</Emphasis> and<Emphasis Type=Italic>Anthriscus sylvestris</Emphasis>

The endangered medicinal herb,Changium smyrnioides can only be found in deciduous forest gaps within the middle to northern subtropical broad-leaved evergreen forest zone of China. The considerable plasticity of its shoot and root structure helps it to capture light more effectively in winter and early spring, and to adapt to the soil moisture conditions in its narrow habitat. Another medicinal plant,Anthriscus sylvestris, is of similar economic importance but commonly distributed widely. In contrast toC. smyrnioides, it has low structural plasticity. It is also specialized to adapt to the moist and sunny environment, where habitat, such as the banks of creeks and rivers, is abundant. Project supported by the National Basic Research Program (973) of China (No. G2000046805) and the National Natural Science Foundation of China (No. 39970058)     

Computer-assisted argument mapping: a <Emphasis Type=Italic>rationale</Emphasis> approach

Computer-Assisted Argument Mapping (CAAM) is a new way of understanding arguments. While still embryonic in its development and application, CAAM is being used increasingly as a training and development tool in the professions and government. Inroads are also being made in its application within education. CAAM claims to be helpful in an educational context, as a tool for students in responding to assessment tasks. However, to date there is little evidence from students that this is the case. This paper outlines the use of CAAM as an educational tool within an Economics and Commerce Faculty in a major Australian research university. Evaluation results are provided from students from a CAAM pilot within an upper-level Economics subject. Results indicate promising support for the use of CAAM and its potential for transferability within the disciplines. If shown to be valuable with further studies, CAAM could be included in capstone subjects, allowing computer technology to be utilised in the service of generic skill development.     

Association between infection of different strains of <Emphasis Type=Italic>Porphyromonas gingivalis</Emphasis> and <Emphasis Type=Italic>Actinobacillus actinomycetemcomitans</Emphasis> in subgingival plaque and clinical parameters in chronic periodontitis

Objective： The aim of this study was to investigate subgingival infection frequencies ofPorphyromonas gingivalis and Actinobacillus actinomycetemcomitans strains with genetic variation in Chinese chronic periodontitis （CP） patients and to evaluate its correlation with clinical parameters. Methods： Two multiplex polymerase chain reaction （PCR） assays were developed to detect the 16SrDNA, collagenase （prtC） and fimbria （fimA） genes of P. gingivalis and the 16SrDNA, leukotoxin （lktA） and fimbria-associated protein （fap） genes ofA. actinomycetemcomitans in 60 sulcus samples from 30 periodontal healthy subjects and in 122 subgingival plaque samples from 61 patients with CP. The PCR products were further T-A cloned and sent for nucleotide sequence analysis. Results： The 16SrDNA,prtC andfimA genes ofP. gingivalis were detected in 92.6%, 85.2% and 80.3% of the subgingival plaque samples respectively, while the 16SrDNA, lktA andfap genes ofA. actinomycetemcomitans were in 84.4%, 75.4% and 50.0% respectively. Nucleotide sequence analysis showed 98.62%-100% homology of the PCR products in these genes with the reported sequences. P. gingivalis strains with prtC＋/fimA＋ and A. actinomycetemcomitans with lktA＋ were predominant in deep pockets （〉6 mm） or in sites with attachment loss 〉5 mm than in shallow pockets （3-4 mm） or in sites with attachment loss 〈2 mm （P〈0.05）. P. gingivalis strains withprtC＋/fimA＋ also showed higher frequency in gingival index （GI）=3 than in GI=1 group （P〈0.05）. Conclusion： Infection ofP. gingivalis with prtC＋/fimA＋ and A. actinomycetemcomitans with lktA＋ correlates with periodontal destruction of CP in Chinese. Nonetheless P. gingivalis fim4, prtC genes and A. actinomycetem- comitans lktA gene are closely associated with periodontal destruction, while A. actinomycetemcomitansfap gene is not.     

A novel endogenous badnavirus exists in <Emphasis Type=Italic>Alhagi sparsifolia</Emphasis>

We report the recovery of a 7068-nt viral sequence from the “viral fossils” embedded in the genome of Alhagi sparsifolia, a typical desert plant. Although the full viral genome remains to be completed, the putative genome structure, the deduced amino acids and phylogenetic analysis unambiguously demonstrate that this viral sequence represents a novel species of the genus Badnavirus. The putative virus is tentatively termed Alhagi bacilliform virus (ABV). Southern blotting and inverse polymerase chain reaction (PCR) data indicate that the ABV-related sequence is integrated into the A. sparsifolia genome, and probably does not give rise to functional episomal virus. Molecular evidence that the ABV sequence exists widely in A. sparsifolia is also presented. To our knowledge, this is the first endogenous badnavirus identified from plants in the Gobi desert, and may provide new clues on the evolution, geographical distribution as well as the host range of the badnaviruses.