Resolving the amalgam: connecting pedagogical content knowledge,content knowledge and pedagogical knowledge

ABSTRACT

This paper concludes the Special Issue (SI) ‘Probing the Amalgam: the relationship between science teachers’ content, pedagogical and pedagogical content knowledge’. We review the five papers (Sorge et al; Gess-Newsome et al; Kind; Pitjeng-Mosabala and Rollnick; and Liepertz and Bronowski) by discussing evidence these present regarding the relationships between content knowledge (CK), pedagogical knowledge (PK) and pedagogical content knowledge (PCK); the development of CK, PK and PCK in novice and experienced secondary science teachers and how CK, PK and/or PCK impact students’ learning. In conclusion, we draw these findings together in offering proposals for future research via reconsideration of Shulman’s amalgam. This includes post-hoc examination of a PCK model known as ‘the Consensus Model’ (Gess-Newsome, [2015]. A model of teacher professional knowledge and skill including PCK: Results of the thinking from the PCK Summit. In A. Berry, P. J. Friedrichsen, & J. Loughran (Eds.), Re-examining Pedagogical Content Knowledge in Science Education (pp. 28–42). New York, NY: Routledge; Neumann, Kind, & Harms [2018]. Probing the amalgam: The relationship between science teachers’ content, pedagogical and pedagogical content knowledge. International Journal of Science Education, 1–15) and presentation of a novel PCK structure based on evidence from the SI studies.     

Development of evidence-based,student-learning-oriented rubrics for pre-service science teachers’ pedagogical content knowledge

ABSTRACT

This paper offers pedagogical content knowledge (PCK) rubrics, that is, guides providing criteria for grading that are potentially applicable to a range of science topics and levels of teacher experience. Grading criteria applied in the rubrics are based on qualitative analyses of planned topic-specific professional knowledge (TSPK) and content knowledge (CK). Data were collected via three topic-specific vignettes from 239 pre-service science teachers (PSTs) starting a university-based, full-time, one year teacher education programme in England. The statements were analysed for TSPK and CK. PSTs’ statements proposed instructional strategies comprising demonstrations, explanations, illustrations and analogies, classified as Relevant to the science topics, others Irrelevant. Some Relevant strategies missed an aspect that may, if enacted, help students’ learning, so were judged Incomplete. Statements were also analysed for evidence of relevant and correct CK. CK and TSPK statements are aligned into grids, creating PCK rubrics. These demonstrate the precise nature of knowledge likely to lead to instruction that impacts positively on student learning. The rubrics present the possibility of PCK repertoires that contribute clarity and precision to teaching instruction. Although findings cannot be generalised, the methodology offers a strategy for supporting out-of-field teachers, and those seeking instructional strategies to add to existing repertoires.     

Teaching Subtraction and Multiplication with Regrouping Using the Concrete‐Representational‐Abstract Sequence and Strategic Instruction Model

Based on Common Core Standards (2010), mathematics interventions should emphasize conceptual understanding of numbers and operations as well as fluency. For students at risk for failure, the concrete‐representational‐abstract (CRA) sequence and the Strategic Instruction Model (SIM) have been shown effective in teaching computation with an emphasis on conceptual understanding. No studies have investigated the effects of CRA and SIM for teaching multiplication with regrouping. Therefore, the purpose of this study was to replicate and extend the literature, teaching subtraction and multiplication with regrouping using CRA and SIM. Three students receiving tier three mathematics interventions participated. A multiple‐probe across behaviors design was used to show a functional relation. All of the students demonstrated increases in fluency across all regrouping tasks.     

Nineteenth century chrome yellow and chrome deep from Winsor & NewtonTM

The Winsor & Newton^TM (W&N) nineteenth century archive database includes digitised images of hand-written instructions and workshop notes for the manufacture of their artists’ materials. For the first time, all 183 production records for yellow lead chromate pigments were studied and evaluated. They revealed that W&N produced essentially three pigment types: lemon/pale based on mixed crystals of lead chromate and lead sulphate [Pb(Cr,S)O₄]; middle on pure monoclinic lead chromate [PbCrO₄]; and deep that contains the latter admixed with basic lead chromate [Pb₂CrO₅]; accounting for 53, 22, and 21% of the production, respectively. Production records for primrose (4%) were also included since the formulation results in mixed crystals with a high percentage of lead sulphate, which, according to the literature, leaves it more prone to degradation. Each pigment type is characterised by only one or two main synthetic pathways; process variations reveal a systematic and thorough search for a high-quality durable product. A comparison of the chemical composition of pigment reconstructions with early W&N oil paint tubes showed that their records entitled ‘pale’ and ‘lemon’ correlated with the pigment in their tube labelled chrome yellow and, ‘middle’ and ‘deep’ with the label chrome deep. Lemon and middle pigment formulations were made into oil paints to assess their relative photo-stability. The degradation process was followed by colorimetry and was studied by synchrotron radiation-based techniques. Based on the X-ray absorption spectroscopy data, the possibility for creating a stability index for chrome yellows is discussed.     

The relationship between child behaviour problems at school entrance and teenage vocabulary acquisition: A comparison of two generations of British children born 30 years apart

Behaviour problems in early childhood have a lasting impact on cognitive development and education attainment in later adolescence and into adulthood. Here we address the relationship conduct and hyperactivity problems at school entrance, and vocabulary acquisition in adolescence. We compare performance in identical assessments across two generations of British children born 30 years apart in 1970 (n = 15,676) and 2000/2 (n = 16,628) and find that both conduct and hyperactivity problems have a negative association with later vocabulary in both generations. We take advantage of rich longitudinal birth cohort data and establish that these relationships hold once family socioeconomic status and a child’s personal characteristics and earlier vocabulary acquisition are taken into account. We also find that teenagers today achieved substantively lower scores in the vocabulary assessment compared to their counterparts born 30 years earlier, and that this holds across all categories within each of the family and individual characteristics considered in this article. As vocabulary and language skills are key prerequisites for wider learning, we discuss implications the findings have for education policies.     

The Parent Threat Inventory: development, reliability, and validity

OBJECTIVE: The goal was to develop a retrospective inventory of parental threatening behavior to facilitate a better understanding of such behavior's role in the etiology of psychological distress. METHOD: Inventory items were developed based on theory and 135 students' responses to a question eliciting examples of threatening parental behavior. Following item development, two additional student samples (n = 200 and n = 603) completed batteries of self-report measures. Responses were used to eliminate unstable or redundant items from the inventory and to examine the inventory's psychometric properties. RESULTS: Factor analysis of the inventory revealed three factors, accounting for 66.2% of variance; this factor structure is compatible with theory, and consistent across maternal behavior scores, paternal behavior scores, and combined maternal and paternal scores. Cronbach's coefficient alphas indicated acceptable internal consistency; Pearson correlation coefficients indicated acceptable 4-week test-retest reliability. Moderate intercorrelations with two retrospective measures of childhood experiences suggested construct validity. Regression analyses demonstrated the ability of the inventory to predict both anxious and depressive symptomatology and lifetime symptoms of anxiety and depressive disorder. Normative data on combined parent scores, maternal scores, and paternal scores are also presented. CONCLUSIONS: Initial psychometric testing of the Parent Threat Inventory (PTI) suggests it is a reliable and valid tool for investigating the developmental antecedents of adult psychological distress. Further research should focus on addressing two limitations: (1) lack of normative and psychometric data on men and women suffering from clinical disorders, and (2) lack of validation by parental reporting.     

‘Beyond 2015’, within the modern/colonial global imaginary? Global development and higher education

Efforts to emphasize higher education’s role in development have grown in recent years, but important questions remain about the motivations and effects of these initiatives. In this paper, we employ the concept of a ‘modern/colonial global imaginary’ to consider the impact of the enduring power relations and uneven politics of knowledge in the relationship between higher education and development. Specifically, we consider the Association of Commonwealth Universities’ (ACU) ‘Beyond 2015’ campaign, which was launched in anticipation of the new UN Sustainable Development Goals. We argue that despite the ACU’s intention to provide ‘a platform for diverse voices, particularly from the global South’, the campaign was structured in a way that discouraged dissenting perspectives. More broadly, we consider available possibilities and limitations for challenging mainstream development agendas.     

A taxonomy of emotion and cognition for student reflection: introducing emo-cog

ABSTRACT

Reflective practice can support student learning by enabling praxis: the bridging of the theory of the classroom with the students’ learning experience. Students’ written reflections are the most common mode for practising and documenting reflection. Available typologies for coding the level of student written reflections focus on the cognitive domain. The coding of student reflection data from four locations (Australia, Denmark, Hong Kong and South Korea; n?=?760) revealed that the focus on the cognitive domain could not capture the role and contribution of the affective domain of reflection for learning. This study conceptualises and presents our new two-domain emo-cog taxonomy, together with empirical evidence to substantiate a new way of thinking about reflection for learning. Emo-cog identifies multiple levels of affective responses along with traditional cognitive reflections. Emotions are found to make a significant contribution to student reflections. Learning is clearly a matter of head and heart.