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Introduction"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709954","https://noah.nrw/i3f/v20/4286802/canvas/4709955","https://noah.nrw/i3f/v20/4286802/canvas/4709956","https://noah.nrw/i3f/v20/4286802/canvas/4709957","https://noah.nrw/i3f/v20/4286802/canvas/4709959","https://noah.nrw/i3f/v20/4286802/canvas/4709961","https://noah.nrw/i3f/v20/4286802/canvas/4709963","https://noah.nrw/i3f/v20/4286802/canvas/4709965"],"ranges":["https://noah.nrw/i3f/v20/4286802/range/4709958","https://noah.nrw/i3f/v20/4286802/range/4709960","https://noah.nrw/i3f/v20/4286802/range/4709962","https://noah.nrw/i3f/v20/4286802/range/4709964"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709953","@type":"sc:Range","label":"1.1 The demand for mathematics progress monitoring in primary school"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709959"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709958","@type":"sc:Range","label":"1.2.2 Progress monitoring in mathematics: Curriculum-based measurement"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709961"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709960","@type":"sc:Range","label":"1.2.3 Curriculum-based measurement in early mathematics education"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709963"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709962","@type":"sc:Range","label":"1.2.4 Mathematics progress monitoring applications in Germany"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709965"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709964","@type":"sc:Range","label":"1.2.5 Implications for progress monitoring in general education"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709968","https://noah.nrw/i3f/v20/4286802/canvas/4709969","https://noah.nrw/i3f/v20/4286802/canvas/4709971","https://noah.nrw/i3f/v20/4286802/canvas/4709972","https://noah.nrw/i3f/v20/4286802/canvas/4709974","https://noah.nrw/i3f/v20/4286802/canvas/4709976","https://noah.nrw/i3f/v20/4286802/canvas/4709978","https://noah.nrw/i3f/v20/4286802/canvas/4709979"],"ranges":["https://noah.nrw/i3f/v20/4286802/range/4709970","https://noah.nrw/i3f/v20/4286802/range/4709973","https://noah.nrw/i3f/v20/4286802/range/4709975","https://noah.nrw/i3f/v20/4286802/range/4709977"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709967","@type":"sc:Range","label":"2. Test concepts and summary of findings"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709971","https://noah.nrw/i3f/v20/4286802/canvas/4709972"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709970","@type":"sc:Range","label":"2.1 Test concept creation"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709974"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709973","@type":"sc:Range","label":"2.2 Manuscript 1: Mathematics progress monitoring in first grade"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709976"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709975","@type":"sc:Range","label":"2.3 Manuscript 2: Growth trajectories in first grade"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709978","https://noah.nrw/i3f/v20/4286802/canvas/4709979"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709977","@type":"sc:Range","label":"2.4 Manuscript 3: Mathematics progress monitoring in second grade "},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709982","https://noah.nrw/i3f/v20/4286802/canvas/4709984","https://noah.nrw/i3f/v20/4286802/canvas/4709987","https://noah.nrw/i3f/v20/4286802/canvas/4709990","https://noah.nrw/i3f/v20/4286802/canvas/4709991"],"ranges":["https://noah.nrw/i3f/v20/4286802/range/4709981","https://noah.nrw/i3f/v20/4286802/range/4709989"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709980","@type":"sc:Range","label":"3. Discussion"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709982","https://noah.nrw/i3f/v20/4286802/canvas/4709984","https://noah.nrw/i3f/v20/4286802/canvas/4709987"],"ranges":["https://noah.nrw/i3f/v20/4286802/range/4709983","https://noah.nrw/i3f/v20/4286802/range/4709985","https://noah.nrw/i3f/v20/4286802/range/4709986","https://noah.nrw/i3f/v20/4286802/range/4709988"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709981","@type":"sc:Range","label":"3.1 Psychometric validation of the test concepts"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709984"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709983","@type":"sc:Range","label":"3.1.1 Parallelism"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709987"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709986","@type":"sc:Range","label":"3.1.3 The role of precursors"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709990","https://noah.nrw/i3f/v20/4286802/canvas/4709991"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709989","@type":"sc:Range","label":"3.2 The role of different competences in the development of growth trajectories"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709993"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709992","@type":"sc:Range","label":"4. Conclusions"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4709995","https://noah.nrw/i3f/v20/4286802/canvas/4709996","https://noah.nrw/i3f/v20/4286802/canvas/4709997","https://noah.nrw/i3f/v20/4286802/canvas/4709998","https://noah.nrw/i3f/v20/4286802/canvas/4709999","https://noah.nrw/i3f/v20/4286802/canvas/4710000","https://noah.nrw/i3f/v20/4286802/canvas/4710001","https://noah.nrw/i3f/v20/4286802/canvas/4710002","https://noah.nrw/i3f/v20/4286802/canvas/4710003","https://noah.nrw/i3f/v20/4286802/canvas/4710004"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4709994","@type":"sc:Range","label":"5. References"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710006","https://noah.nrw/i3f/v20/4286802/canvas/4710007","https://noah.nrw/i3f/v20/4286802/canvas/4710009","https://noah.nrw/i3f/v20/4286802/canvas/4710010","https://noah.nrw/i3f/v20/4286802/canvas/4710012","https://noah.nrw/i3f/v20/4286802/canvas/4710015","https://noah.nrw/i3f/v20/4286802/canvas/4710016","https://noah.nrw/i3f/v20/4286802/canvas/4710018","https://noah.nrw/i3f/v20/4286802/canvas/4710020","https://noah.nrw/i3f/v20/4286802/canvas/4710023","https://noah.nrw/i3f/v20/4286802/canvas/4710024","https://noah.nrw/i3f/v20/4286802/canvas/4710026","https://noah.nrw/i3f/v20/4286802/canvas/4710028","https://noah.nrw/i3f/v20/4286802/canvas/4710030","https://noah.nrw/i3f/v20/4286802/canvas/4710033","https://noah.nrw/i3f/v20/4286802/canvas/4710035","https://noah.nrw/i3f/v20/4286802/canvas/4710036","https://noah.nrw/i3f/v20/4286802/canvas/4710038","https://noah.nrw/i3f/v20/4286802/canvas/4710041","https://noah.nrw/i3f/v20/4286802/canvas/4710042","https://noah.nrw/i3f/v20/4286802/canvas/4710044","https://noah.nrw/i3f/v20/4286802/canvas/4710045","https://noah.nrw/i3f/v20/4286802/canvas/4710047","https://noah.nrw/i3f/v20/4286802/canvas/4710049","https://noah.nrw/i3f/v20/4286802/canvas/4710051","https://noah.nrw/i3f/v20/4286802/canvas/4710053","https://noah.nrw/i3f/v20/4286802/canvas/4710054","https://noah.nrw/i3f/v20/4286802/canvas/4710055","https://noah.nrw/i3f/v20/4286802/canvas/4710056","https://noah.nrw/i3f/v20/4286802/canvas/4710057","https://noah.nrw/i3f/v20/4286802/canvas/4710058","https://noah.nrw/i3f/v20/4286802/canvas/4710059"],"ranges":["https://noah.nrw/i3f/v20/4286802/range/4710008","https://noah.nrw/i3f/v20/4286802/range/4710011","https://noah.nrw/i3f/v20/4286802/range/4710013","https://noah.nrw/i3f/v20/4286802/range/4710014","https://noah.nrw/i3f/v20/4286802/range/4710017","https://noah.nrw/i3f/v20/4286802/range/4710019","https://noah.nrw/i3f/v20/4286802/range/4710021","https://noah.nrw/i3f/v20/4286802/range/4710022","https://noah.nrw/i3f/v20/4286802/range/4710025","https://noah.nrw/i3f/v20/4286802/range/4710027","https://noah.nrw/i3f/v20/4286802/range/4710029","https://noah.nrw/i3f/v20/4286802/range/4710031","https://noah.nrw/i3f/v20/4286802/range/4710032","https://noah.nrw/i3f/v20/4286802/range/4710034","https://noah.nrw/i3f/v20/4286802/range/4710037","https://noah.nrw/i3f/v20/4286802/range/4710039","https://noah.nrw/i3f/v20/4286802/range/4710040","https://noah.nrw/i3f/v20/4286802/range/4710043","https://noah.nrw/i3f/v20/4286802/range/4710046","https://noah.nrw/i3f/v20/4286802/range/4710048","https://noah.nrw/i3f/v20/4286802/range/4710050","https://noah.nrw/i3f/v20/4286802/range/4710052"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710005","@type":"sc:Range","label":"Part II - Manuscript 1: Web-based progress monitoring in first grade mathematics"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710009"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710008","@type":"sc:Range","label":"Web-based progress monitoring in first grade mathematics"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710012"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710011","@type":"sc:Range","label":"1. Introduction"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710015","https://noah.nrw/i3f/v20/4286802/canvas/4710016"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710014","@type":"sc:Range","label":"1.2 Progress monitoring in early mathematics"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710018"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710017","@type":"sc:Range","label":"1.3 Aims of the study"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710020"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710019","@type":"sc:Range","label":"2. Method"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710023","https://noah.nrw/i3f/v20/4286802/canvas/4710024"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710022","@type":"sc:Range","label":"2.2 Progress monitoring measures"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710026"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710025","@type":"sc:Range","label":"2.3 Criterion measures"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710028"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710027","@type":"sc:Range","label":"2.4 Usability and practicality"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710030"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710029","@type":"sc:Range","label":"3. Results study 1"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710033"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710032","@type":"sc:Range","label":"3.2 Concurrent and predictive validity"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710035","https://noah.nrw/i3f/v20/4286802/canvas/4710036"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710034","@type":"sc:Range","label":"3.3 Usability and practicality"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710038"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710037","@type":"sc:Range","label":"4. Results study 2"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710041","https://noah.nrw/i3f/v20/4286802/canvas/4710042"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710040","@type":"sc:Range","label":"4.2 Sensitivity to learning"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710044","https://noah.nrw/i3f/v20/4286802/canvas/4710045"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710043","@type":"sc:Range","label":"5. 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References"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710061","https://noah.nrw/i3f/v20/4286802/canvas/4710062","https://noah.nrw/i3f/v20/4286802/canvas/4710063","https://noah.nrw/i3f/v20/4286802/canvas/4710064","https://noah.nrw/i3f/v20/4286802/canvas/4710067","https://noah.nrw/i3f/v20/4286802/canvas/4710069","https://noah.nrw/i3f/v20/4286802/canvas/4710070","https://noah.nrw/i3f/v20/4286802/canvas/4710071","https://noah.nrw/i3f/v20/4286802/canvas/4710072","https://noah.nrw/i3f/v20/4286802/canvas/4710074","https://noah.nrw/i3f/v20/4286802/canvas/4710075","https://noah.nrw/i3f/v20/4286802/canvas/4710078","https://noah.nrw/i3f/v20/4286802/canvas/4710080","https://noah.nrw/i3f/v20/4286802/canvas/4710081","https://noah.nrw/i3f/v20/4286802/canvas/4710084","https://noah.nrw/i3f/v20/4286802/canvas/4710086","https://noah.nrw/i3f/v20/4286802/canvas/4710087","https://noah.nrw/i3f/v20/4286802/canvas/4710088","https://noah.nrw/i3f/v20/4286802/canvas/4710089","https://noah.nrw/i3f/v20/4286802/canvas/4710090","https://noah.nrw/i3f/v20/4286802/canvas/4710091","https://noah.nrw/i3f/v20/4286802/canvas/4710093","https://noah.nrw/i3f/v20/4286802/canvas/4710094","https://noah.nrw/i3f/v20/4286802/canvas/4710095","https://noah.nrw/i3f/v20/4286802/canvas/4710098","https://noah.nrw/i3f/v20/4286802/canvas/4710100","https://noah.nrw/i3f/v20/4286802/canvas/4710102","https://noah.nrw/i3f/v20/4286802/canvas/4710105","https://noah.nrw/i3f/v20/4286802/canvas/4710107","https://noah.nrw/i3f/v20/4286802/canvas/4710109","https://noah.nrw/i3f/v20/4286802/canvas/4710110","https://noah.nrw/i3f/v20/4286802/canvas/4710111","https://noah.nrw/i3f/v20/4286802/canvas/4710112","https://noah.nrw/i3f/v20/4286802/canvas/4710113","https://noah.nrw/i3f/v20/4286802/canvas/4710114","https://noah.nrw/i3f/v20/4286802/canvas/4710115"],"ranges":["https://noah.nrw/i3f/v20/4286802/range/4710065","https://noah.nrw/i3f/v20/4286802/range/4710076","https://noah.nrw/i3f/v20/4286802/range/4710082","https://noah.nrw/i3f/v20/4286802/range/4710096","https://noah.nrw/i3f/v20/4286802/range/4710108"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710060","@type":"sc:Range","label":"Part III - Manuscript 2: Mathematics growth trajectories in first grade: Cumulative vs. compensatory patterns and the role of number sense"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710067","https://noah.nrw/i3f/v20/4286802/canvas/4710069","https://noah.nrw/i3f/v20/4286802/canvas/4710070","https://noah.nrw/i3f/v20/4286802/canvas/4710071","https://noah.nrw/i3f/v20/4286802/canvas/4710072","https://noah.nrw/i3f/v20/4286802/canvas/4710074","https://noah.nrw/i3f/v20/4286802/canvas/4710075"],"ranges":["https://noah.nrw/i3f/v20/4286802/range/4710066","https://noah.nrw/i3f/v20/4286802/range/4710068","https://noah.nrw/i3f/v20/4286802/range/4710073"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710065","@type":"sc:Range","label":"1. 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Method"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710129"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710128","@type":"sc:Range","label":"2.1 Participants and setting"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710131","https://noah.nrw/i3f/v20/4286802/canvas/4710132","https://noah.nrw/i3f/v20/4286802/canvas/4710133","https://noah.nrw/i3f/v20/4286802/canvas/4710134"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710130","@type":"sc:Range","label":"2.2 Measures and procedure"},{"canvases":["https://noah.nrw/i3f/v20/4286802/canvas/4710136","https://noah.nrw/i3f/v20/4286802/canvas/4710138","https://noah.nrw/i3f/v20/4286802/canvas/4710140","https://noah.nrw/i3f/v20/4286802/canvas/4710142","https://noah.nrw/i3f/v20/4286802/canvas/4710144","https://noah.nrw/i3f/v20/4286802/canvas/4710145"],"ranges":["https://noah.nrw/i3f/v20/4286802/range/4710137","https://noah.nrw/i3f/v20/4286802/range/4710139","https://noah.nrw/i3f/v20/4286802/range/4710141","https://noah.nrw/i3f/v20/4286802/range/4710143"],"@id":"https://noah.nrw/i3f/v20/4286802/range/4710135","@type":"sc:Range","label":"3. 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