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  1. I. Coherent Sequences Stevo Todorcevic Contents 0 Introduction ..... 1 1 Walks in the space of countable ordinals ..... 3 2 The coherence of maximal weights ..... 9 3 Oscillations of traces ..... 21 4 Triangle inequalities ..... 26

  2. This short tool, “Qualities of a Good Anchor Phenomenon for a Coherent Sequence of Science Lessons,” outlines criteria to consider when selecting an anchor phenomena or design problem to fit with the NRC Framework for K-12 Science Education vision.

  3. good anchor has relevant data, images, and text to engage students in the range of ideas students need to understand. It should allow them to use a broad sequence of science and engineering pracices to learn science through first-hand or second-hand investigations.

    • Using Knowledge with Scientific Practices
    • Instructional Pathways – Early Childhood Learning
    • Teaching Experiments – Science and Mathematics
    • Upper/Lower Anchors For Measuring Progress
    • Concepts & Practices

    Research on designing LP for science and epistemic practices (e.g., building and refining theories, models, and mechanisms; systems and spatial thinking; argumentation) is needed to support deep learning during project-, problem-, or place-based inquiry contexts. Science LP researchers might consider adopting the ‘learning models’ approach for LT i...

    The extensive research on infants and young children’s cognitive development underscores the variety of knowledge resources and reasoning capabilities children bring to formal/informal education. Young learners are anything but empty minds. Contemporary research while maintaining the notion of developmental pathways, rejects age-based stages of dev...

    Teaching experiments (TE) is a methodological framework that has contributed to our thinking about the design of instruction and pathways of learning. There are two TE research programs, one by mathematics education researchers and another by science education researchers. The two research approaches have differing perspectives about informing lear...

    Adopting LP formats requires measurements of what precisely is progressing. The articulation of boundaries and levels in the form of lower and upper anchors is a starting point for researchers. The concerns about multiple learning pathways (e.g., messy middle, stepping stones) are important. Research needs to carefully examine such pathways, and th...

    The growth of scientific knowledge and the growth of children’s scientific knowledge both involve processes and mechanism about seeing nature in new ways. One approach to conceptual change research adopts cognitive schema theory to explain conceptual change processes. The suggestion is that science learning is similar to scientific theory change. L...

    • Richard A. Duschl
    • rduschl@smu.edu
    • 2019
  4. Among these articles, we reviewed 86 studies. The review was framed around three types of coherence that LPs can provide in a system of curriculum, instruction, and assessment: developmental, vertical, and horizontal coherence.

    • Hui Jin, Jamie N. Mikeska, Hayat Hokayem, Elia Mavronikolas
    • 2019
  5. Nov 23, 2011 · This chapter describes the different types of coherence and discusses the role that learning progressions play in the design and development of coherent curriculum materials, and why coherent materials are critical in supporting students in building integrated understanding. Download chapter PDF.

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  7. Planning coherent instructional sequences requires clearly defined learning goals and outcomes, carefully sequenced concepts, and the selection of activities and classroom assessments well matched to the learning goals (BSCS, 2016).

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