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科学を教えることの科学-理論に基づいた物理の授業 20160405
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Hitoshi Katsuda
April 04, 2016
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科学を教えることの科学-理論に基づいた物理の授業 20160405
物理教育研究の概説と、それに基づく実際の授業実践について。
20160405 中央大学理工学部でのFD講演資料
Hitoshi Katsuda
April 04, 2016
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Transcript
ՊֶΛڭ͑Δ͜ͱͷՊֶ ʵཧʹج͍ͮͨཧͷतۀʵ தԝେֶෟଐதֶɾߴֶߍ ڭ་(ཧ)ɹউా ਔ೭ katsuda.phys.edu [at] gmail.com 1 2016.
04. 05. தԝେֶཧֶ෦ ཧֶՊFD
ߨԋͷྲྀΕ ɾࣗݾհɺಋೖ ɾֶशऀͱڭࢣͷಛʵೝ৺ཧֶతͳଆ໘͔Β ɾཧڭҭݚڀ͔Βͷतۀͷࣔࠦ ɾतۀͷ࣮ࡍɿೝతᷤ౻ͷํ๏ ɾResources ͷհ ɾΉ͢ͼ 2
ಋೖ 3 2016. 04. 05. தԝେֶཧֶ෦ ཧֶՊFD
ࣗݾհ 4 ߨԋऀɿউా ਔ೭ (Χπμ ώτγ) 1987ɹੜ (࡛ۄݝӽ୩ࢢग़) 2010ɹ౦େ ཧֶՊ
ଔۀ 2012ɹ౦େ ੑཧֶઐ߈ म࢜मྃ ɹɹɹ(࣓ੑମͷ౷ܭྗֶɺྔࢠΞχʔϦϯάͷཧ) 2013ɹത࢜՝ఔ தୀɹ 2013ʙݱࡏɹதԝେֶෟଐதֶɾߴֶߍ ڭ་ ( ݚڀςʔϚɿޡ֓೦ࠀΛࢦͨ͠ Active Learning ܕतۀͷ։ൃͱ࣮ફʣ ඇৗۈߨࢣͷܦݧ (தֶɾߴߍɾେֶɾक़ɾ༧උߍ) ཧڭҭܥͷ ݚڀձ ֶձʹࢀՃɻ ڵຯ͕ੑ ཧݚڀ͔Β ڭҭݚڀʁ
ૣͰ͕͢ɺ࣭Ͱ͢ ӡಈֶʵҐஔɾɾՃ ʹ͍ͭͯ͜ͷ݄̐ɺ৽ͨʹतۀΛ͢Δͱ͠·͢ɻ ɹ ) ͜ͷͰɺֶੜ͕ͭ·͖͍ͮ͢ͷͳΜͩͱࢥ͍·͔͢ʁ ) ͰɺࠀͷͨΊʹͲΜͳतۀΛ͠·͔͢ʁ 5
ͱ͋Δௐࠪͷ݁Ռ ίΠϯτε(Ԗͳઢ্Λӡಈ)ʹ͍ͭͯɻ (1) ίΠϯ͕ख͔ΒΕͨޙʮ্ঢதʯʮ࠷ߴʯ ɹʮԼ߱தʯͷͦΕͧΕʹ͓͍ͯɺίΠϯͷՃͷ ɹ ͖ͱେ͖͞ʁ (2) ίΠϯ͕ख͔ΒΕͨޙʮ্ঢதʯʮ࠷ߴʯ ɹʮԼ߱தʯͷͦΕͧΕʹ͓͍ͯɺίΠϯʹͨΒ͘
ɹ ྗͷ͖ͱେ͖͞ʁ 6
యܕతͳޡ ྗՃͷ͖େ͖͞ɺӡಈͱͱʹมԽ͢Δ Ճͱྗͷ͖͕Ұக͠ͳ͍ ࠷ߴͰՃθϩ ࠷ߴͰ༗ݶ࣌ؒ੩ࢭ͢Δ 7
γϣοΫͳ͜ͱ ઌͷΛؚΉҰ࿈ͷௐࠪʹΑΔௐࠪͷ݁Ռɿ ɾतۀޙʹௐࠪΛߦͬͯ͋·Γվળ͠ͳ͍ ɾ࠲ֶͰतۀޙʹฏۉͰ20%ҎԼͷվળ ɾ͔͠ڭһʹΑΔࠩ΄ͱΜͲແ͍ ɾੈքதͰಉ༷ͷޡͱվળͷ͞ ɾͰೖࢼԿނ͔ղ͚Δ 8
तۀઃܭʹ͓͍ͯߟ͑Δ͖͜ͱ ɾڭࢣ͕ʮͲ͏ڭ͑Δ͔ʯΑΓɺ ɹɹɹɹɹɹɹɹɹֶੜ͕ʮͲ͏ֶΜͰ͍Δ͔ʯ ͜͜ʹযΛͯͳ͍ͱɺतۀͷޮՌظͰ͖ͳ͍ʂ 9 ೝ৺ཧֶɺओʹهԱͱֶशΛཧڭҭݚڀʹಋೖ 1980ʙཧڭҭݚڀٸͳ͕ΓͱൃలΛݟͤΔ ՊֶڭҭݚڀʹʮՊֶʯͷख๏ΛऔΓೖΕͨ݁Ռɺ ֶशऀͷֶͼͷ༷ࢠ͕໌Β͔ʹͳ͍͖ͬͯɺڭһͷ ओ؍Ͱͳ͍٬؍తͳݚڀ݁Ռͷੵ͕Մೳͱͳͬͨɻ
ֶशऀͱڭࢣͷಛ ʵೝ৺ཧֶతͳଆ໘͔Βʵ 10 2016. 04. 05. தԝେֶཧֶ෦ ཧֶՊFD
هԱͷߏ ɾهԱͦΕͧΕݸผʹʹ֨ೲ͞Ε͍ͯΔΘ͚Ͱ ɹͳ͘ɺෳࡶʹ૬ޓ࡞༻ͨ͠ωοτϫʔΫߏΛ ɹ͍࣋ͬͯΔɻ(ଟମܥɺಛʹεϐϯܥͷΑ͏ͳΠϝʔδʁ) ɾهԱಉ࢜ͷ૬ޓ࡞༻ڧ͍߹ऑ͍߹͋Γɺ ɹ͋Δใ͕༩͑ΒΕͨͱ͖ɺڧ͍૬ޓ࡞༻Λ࣋ͭ ɹهԱ͕ى͞Ε͍͢(εΩʔϚ) ɾεΩʔϚඇৗʹม༰͠ʹ͍͘ɻ͙ͯ͢͠ʹݩʹΔɻ ɾهԱͦͷ··ى͞ΕΔͷͰͳ͘ɺߏԽ͞Ε ɹͳ͕Βى͞ΕΔɻ͔ͩΒࢥ͍ҧ͍Λ͢Δɻ
11
εΩʔϚͷ࣮ݧ ͜ͷಈը(Ի͖) https://youtu.be/eUkiztJ1boE Λݟ͔ͯΒɺ࣍ͷಈըΛݟ͍ͯͩ͘͞ (7:26ʙʹઃఆͨ͠) https://youtu.be/TkzVG1WPtyU?t=7m26s Ͳ͏Ͱ͔͢ʁ࠷ॳͷಈըΛҙࣝͤͣʹɺ̎൪ͷಈըΛ ݟΔ͜ͱ͕Ͱ͖·͔͢ʁ (ҙࣝ͠ͳ͍ͱ͍͏ҙࢤ͕͋Εҙ͍ࣝͯ͠·͢ɻ) ڧݻͳεΩʔϚ͕ܗ͞Εͨͱ͍͏༁Ͱ͢ɻ
12
هԱͷىʹӨڹ͢Δͷ I ɾจ຺ґଘੑ ɹɹهԱͷىͦͷจ຺ʹڧ͘ґଘ͢Δɻ ɹɹʮίΠϯτεʯͱʮԖ্͛͛ӡಈʯੜెʹ ɹɹͱͬͯҟͳΔͷͱͳΔɻ ɹɹੜెͷঢ়ଶʮ͔Δʯʮ͔Βͳ͍ʯͷ̎௨Γ ɹɹ͚ͩͰͳ͘ɺʮ͜ͷจ຺ʹ͓͍͔ͯΔʯঢ়ଶ ɹɹ͕ແݶʹଘࡏ͢Δɻ ɹɹɹ
ɹɹɹ→ ྫࢼݧͷจ຺͕ݻఆԽ͞Ε͍ͯ·ͤΜ͔ʁ 13
هԱͷىʹӨڹ͢Δͷ II ɾֶੜͷ׆ੑ ɹɹਆܦՊֶͷख๏ʹΑΓɺֶੜͷ׆ੑΛଌఆ͢Δ ɹɹ͜ͱ͕Ͱ͖ΔɻMazur ʹΑΔௐࠪͰɺ̍ͷ ɹɹੜ׆ͷதͰֶੜͷ׆ੑ͕ஶ͔ͬͨ͘͠ͷ ɹɹɾ ςϨϏΛݟ͍ͯΔͱ͖ ɹɹɾ
ɹɹɹतۀதɹɹɹɹɹͰ͋ͬͨɻ ɹɹ→ ͲΜͳใΛ༩͑ͯɺଞͷهԱͱͷ૬ޓ࡞༻ ɹɹɹ ΄ͱΜͲੜ͡ͳ͍ ʢʹཧղɺఆண͠ͳ͍ʣ 14
ཧͷֶशʹ͓͚Δࣝͷछྨ ɾfactual knowledge ɹɹݱ݅ʹ͍ͭͯͷݸผͷࣝɻ ɹɹిࢠෛͰ͋Δɺ࣌ؒͷ୯ҐඵͰ͋ΔͳͲɻ ɾconceptual knowledge ɹɹfactual knowledge ಉ࢜Λ݁ͼ͚ͭͯཧղ͢ΔͨΊͷࣝɻ
ɹɹݱͷઆ໌༧ݴΛՄೳͱ͢Δ͕ɺੜెͷ࣋ͭ ɹɹ conceptual knowledge ͕ཧతʹਖ਼͍͠ͱݶΒͳ͍ɻ ɾprocedural knowledge ɹɹઌͷ̎ͭͷࣝΛ۩ମతͳʹରͯ͠ద༻͢ΔͨΊͷࣝ ͓ͦΒ͘ɺconceptual knowledge ͕ܽͯ͠ೖࢼղ͚ͯ͠·͏ 15 ← ڭࢣ͕ॏཁࢹ͢Δͷ ← ੜె͕ॏཁࢹ͢Δͷ ← ੜె͕ॏཁࢹ͢Δͷ
ֶੜ͕ڭࣨʹ࣋ͪࠐΉͷ I ɾޡ֓೦ ɹֶੜཧ֓೦Λतۀલ͔Β͢Ͱʹ͍࣋ͬͯΔɻ ɹɹɹɾॏ͍ͷ͍ܰͷΑΓૣ͘མͪΔ ɹɹɹɾి͔Βग़ΔిྲྀৗʹҰఆͰ͋Δ ɹɹɹɾମྗͷ͖ʹಈ͘ ɹ ޡ֓೦ඇৗʹڧݻͰ͋Γɺڭࢣͷห͘Β͍Ͱ΄ͱΜ Ͳม༰͞Εͳ͍ɻ
·ͨɺޡ֓೦ͱतۀͰशͬͨཧ֓೦૬ֶ͍ͯͯ͠ੜ ͷதʹಉࡏͰ͖Δɻ 16
ֶੜ͕ڭࣨʹ࣋ͪࠐΉͷ II ɾतۀͷظ؍ɺϑϨʔϜ ɹʮतۀͱ͜͏͍͏ͷʯͱ͍͏؍೦Λੜె ɹɹڭࣨʹ࣋ͪࠐΉɿܦݧ͕େ͖͘Өڹ ɹɾ͍ͬͯΕͦͷ͏ͪઌੜ͕͑Λݴ͏ ɹɾ൘ॻΛ៉ྷʹࣸ͢͜ͱ͕तۀͰ͋Δ ɹɾઌੜ͕تͿΑ͏ͳൃݴΛ͢Ε্͕͕Δ ɹɾΘ͔Βͳ͍Λߟ͑ଓ͚ΔΑΓൣղΛΈΔ ɹɹ͖ͩ
ɹɾतۀதͷൃݴ͘͢͝಄ͷΠΠਓ͢Δͷͩ ɹɾؒҧ͍͚ͬͯͳ͍ɺ͍ͬͯͨํ͕ྑ͍ 17
ϑϨʔϜͷ࣮ݧ ूதྗͱಈମࢹྗͷςετͰ͢ɻ ͜Ε͔ΒɺಈըΛݟͤ·͢ɻ ന͍Λணͨ̏ਓͱࠇ͍Λணͨ̏ਓ͕ɺͦΕͧΕ ಉ৭ͷΛண͍ͯΔਓͨͪͱϘʔϧΛύε͠߹͍·͢ɻ ന͍Λணͨਓ͕ͨͪԿճύεΛ͔ͨ͑ͯ͠Լ͍͞ɻ ന͍Λணͨਓʹɺूதͯ͠Լ͍͞ʂʂʂ http://www.youtube.com/watch?v=IGQmdoK_ZfY 18
ύεͷճɹ16ɹճ ɾΰϦϥ͕ϗϗ͍ͯ͠·ͨ͠ΑͶʁ ɾࠇ͍Λண͍ͯΔਓɺ్தͰ͍ͳ͘ͳΓ·ͨ͠ΑͶʁ ɾΧʔςϯͷ৭ɺมΘΓ·ͨ͠ΑͶʁ զʑৗʹɺޒײΛ௨ͯ͠େͳใΛड͚औΔɻ ʮࠓͲ͏ৼΔ͏͖͔ʯΛଞऀɺࣾձจԽɺܦݧͳͲ ΛؑΈܾͯఆ͢ΔɻͦͷΈ(ϑϨʔϜ)ͷதͰɺඞཁͰͳ͍ ใͲΜͲΜ͗མͱ͍ͯ͘͠ɻ(બతҙ = બతແࢹ)
ࢲօ͞ΜͷϑϨʔϜΛ“ന͍ͷਓͨͪͷύε”ʹ߹Θͤͨɻ ͨͱֶ͑ੜͷϑϨʔϜ͕“ࢼݧͷղ͖ํ”ʹ߹Θ͞Εɺզʑ ͕ڧௐͯ͠ڭ͍͑ͯΔ͜ͱ͕“ݟ͑ͳ͍ΰϦϥ”ʹͳͬͯ͠·͏ɻ 19
ڭࢣͷಛ ɾڭ͕͑ͨΓ͞Μ ɾֶੜͷཧ͞Ε͍ͯͳ͍Λ࠷ޙ·Ͱฉ͚ͳ͍ ɾʹ͑ΒΕͳ͍ ɾֶੜͷ͍ͤʹ͕ͨ͠Δ ɾڭһಉ࢜ɺޓ͍ʹׯব͕ͨ͠Βͳ͍ ɾֶ͕ࣗΜͩʗڭΘͬͨΑ͏ʹڭ͑Α͏ͱ͢Δ ɹ→ ڭһʮඇৗʹগͷʯֶशޭऀͰ͋Γɺͦͷޭମݧ ͷલͷֶੜʹఏֶ͖ࣔ͢श
ํ๏͔Β͓ͦΒ͘ఔԕ͍ ɹ→ ڭҭͱɺҰ෦ͷֶੜΛʮ;Δ͍ʹ͔͚Δʯͷͳͷ͔ʁ ɹɹ ͦͦզʑͷڭ͑ΔֶੜͷຆͲཧֶՊʹਐֶ͠ͳ͍ 20
ཧڭҭݚڀ͔Βͷतۀͷࣔࠦ ʵֶੜɺڭࢣͷΉΑ͏ʹֶͳ͍ʂʵ 21 2016. 04. 05. தԝେֶཧֶ෦ ཧֶՊFD
ڭ͑ࠐΈͷݶքʂ ɾڭһʹΑΔߨٛʗ࠲ֶܕͷڭ͑ࠐΈͷݶքʂ ɹཧ֓೦ͷ֫ಘʹɺڭࢣͷڭ͑ࠐΈ΄ͱΜͲޮՌ ɹ͕ͳ͍ʂ୭͕ڭ͑Α͏ͱʂ Hake ʹΑΔେنௐࠪ(1998) ઌͷ֓೦ௐࠪʹ͓͚Δतۀޙ ͷվળʹ͍ͭͯɺߨٛܕͷ तۀ 20
± 10 % ɹɹɹR.R.Hake, Am. J. Phys. 66, 64-74 (1998) 22
Active Learning Ҡߦʂ ɾੜెࣗͷߟ͑ΛҾ͖ग़͠ɺੜెͷࣝߏͷߏங ɹഭ͍ͬͯ͘तۀܗଶͷඞཁੑ ɾʮטΈࡅ͍ͨઆ໌ʯ͔ΒʮטΈࡅ͔ͤΔतۀʯ ɾੜెͷࣝߏʹ༳͞ͿΓΛ͔͚ΔΑ͏ͳतۀ Active Learning ͱɺੈؒͰݴΘΕͯΔΑ͏ͳ
୯ͳΔௐֶशɺֶੜʹؙ͛͢ΔͷͰ͋Γ·ͤΜɻ (ࠓͷɺഎܠࣝͷͳ͍Active Learning ϒʔϜڭҭతʹ ඇৗʹةݥͳ෩ைͩͱࢥ͍·͢) ɹ→ ֶशޭऀ͕ࣗવʹ͍ͬͯΔϓϩηεΛɺ ɹɹ ਓతʹ࡞Γग़ֶͯ͠शͤ͞Δํ๏ 23
͞Βʹ ɾڭ͑Δ༰ΪϦΪϦ·ͰߜΔ ɾཧΑΓݱ͔Βಋೖ͢Δ ɾཧڭҭݚڀͷ݁ՌͦΕʹج͖ͮ։ൃ͞Εͨڭࡐͱ ɹतۀ๏Λੵۃతʹಋೖ͢Δ ɾڭһಉ͕࢜ޓ͍ͷतۀʹׯব͢Δ༐ؾΛ࣋ͭ ɾ݄̐ͷ࠷ॳͷतۀͰतۀํͱͦͷҙٛΛ໌֬ʹఏࣔ͢Δ ɾֶੜͷϑϨʔϜΛյͨ͢Ίʹઓ͏ ɾຊؾͷ࣭Λ͢Δ 24
ڭࣨʹͨ͘͞Μͷਓ͕ू·Δҙٛͱʁ ڭࣨͷதʹͨ͘͞Μͷਓ͕͍Δ͜ͱɺʮࣝͷୡʯ ʹ͓͍ͯσϝϦοτͰ͔͠ͳ͍ɻ ڭࣨʹ Interaction Λ࡞Γग़ͤɺ ਓͷଟ͕͞ڧྗͳϝϦοτͱมΘΔʂ ɹɹɹɹɹɹɹɹʵֶੜಉ࢜ͷ interaction ɹɹɹɹɹɹɹɹʵֶੜͱڭࢣͷ
interaction ɹɹɹɹɹɹɹɹʵֶ֎ͷڭһಉ࢜ͷ interaction 25
तۀͷ࣮ࡍ ʵೝతᷤ౻ͷํ๏ʵ 26 2016. 04. 05. தԝେֶཧֶ෦ ཧֶՊFD
तۀͷྲྀΕ ɾϫʔΫγʔτ ɾલճͷ෮शΛੜెಉ࢜ʹઆ໌ͤ͞Δ ɾࣝͷୡ(͞ΒͬͱΔɺͰ͖Δ͚ͩ࠷ॳ͔ΒϫʔΫγʔτʹॻ͍͓ͯ͘) ɾ՝Λఏࣔ ɾݸਓͰཧ༝ͱͱʹϫʔΫγʔτʹ༧Λهड़ ɾूܭޙɺ൝Ͱٞͤ͞Δ ɾ֤൝ͷҙݟΛूܭޙɺશମ౼ ɾҙݟͷڞ༗ͱͱʹɺΛཧ͍ͯ͘͠ ɾ࣮ݧͰܾணΛ͚ͭΔ
ɾ݁Ռͱͦ͏ͳͬͨཧ༝Λࣗͷݴ༿Ͱ·ͱΊͤ͞Δ ͻͨ͢Β͜ΕΛ܁Γฦ͠ɺ֓೦֫ಘΛࢦ͢ 27
ֶੜͷதʹᷤ౻ΛҾ͖ى͜͢ ɾݸਓͰ༧ ɹɹ→ ͕ࣗͲ͏ߟ͍͑ͯΔ͔ΛҾ͖ग़͠ೝࣝ ɾٞ ɹɹ→ ࣗͱରཱ͢Δߟ͑ʹ໘ͯᷤ͠౻ ɹɹɹ ٞͷதͰֶੜͷதʹ“ؾ͖ͮ”͕ੜ·ΕΔ ɹɹɹ
ɾ࣮ݧʹΑΔܾண ɹɹ→ ࣗͷߟ͑ΛվΊ͟ΔΛಘͳ͍ঢ়گʹ͍ࠐΉ ɾࣗͷݴ༿Ͱ݁ՌΛ·ͱΊΔ ɹɹ→ ֶੜࣗʹهԱߏͷ࠶ߏஙΛଅ͢(ϝλֶश) 28
֓೦֫ಘʹ͚ɺ෮ͨ͠ΞϓϩʔνΛʂ ɾεΩʔϚͷม༰ ɹतۀதʹཧղͯ͠ɺ͙͢ݩʹͬͯ͠·͏ ɾจ຺ґଘੑ ɹतۀͰѻͬͨͷͱҟͳΔจ຺Ͱਖ਼͘͠ߟ͑ΒΕΔ ɹ͔ʁɹ→ ༷ʑͳจ຺͔Βͷ՝ఏࣔΛʂʂ ɾੜెͷࢥߟ ɹ→ ཧ๏ଇ͕࣮ࡍͷݱΛهड़͍ͯ͠Δͱߟ͍͑ͯͳ͍ɹ
ɹɹʮ࣮ࡍͰ͜͏͚ͩͲཧͰ͜͏ʯɿԋ࣮ࣔݧॏཁ ɹ→ ཧ๏ଇʹҰ؏ੑΛٻΊ͍ͯͳ͍ ɹɹ ʮམԼͷ๏ଇʯʮͻͰҾͬுΔ࣌ͷ๏ଇʯʮंͷ๏ଇʯ 29
՝ྫ I ɿࣹӡಈ 30 ൪ ࢯ໊ɿ ॏྗ*** ਫฏࣹ চ
՝ ॳθϩͰམԼ ࣗ༝མԼ ͢Δମͱɺ ਫฏํʹॳΛ༩͑ΒΕࣹͯ͞Εͨ ମɺͲͪΒ͕ઌʹচʹண͔͘ʁ άʔʣࣗ༝མԼ νϣΩʣಉ࣌ ύʔʣਫฏࣹ ༧ ݁Ռ ࣮ݧ ਫฏࣹ͞Εͨମ ͷӡಈΛಈըͰࡱ Γɺ1$ʹऔΓࠐΜ Ͱղੳͯ͠ΈΑ͏ɻ ̌ চ ํͷӡಈɿ ํͷӡಈɿ ൪ ࢯ໊ɿ ॏྗ*7 ࣼํࣹ ࠓ͍Α͍ΑɺମΛࣼΊʹ͛ͯΈΑ͏ɻͪΖΜɺ࠷ݱ࣮ʹ͍ۙӡಈͰ͋Δɻ ՝ চ ಉ͡ߴ͔͞Βਫฏࣹ͞Εͨମͱɺࣼ Ίʹ্͛͛ΒΕͨମ ࣼํࣹ ɺͲ ͪΒ͕ઌʹচʹண͔͘ʁ άʔʣਫฏࣹ νϣΩʣಉ࣌ ύʔʣࣼํࣹ ༧ ݁Ռ /PUF
՝ྫ II ɿ࿈݁ମͷӡಈ 31 ൪ ࢯ໊ɿ ࿈݁ମͷӡಈ ՝ ࣭ྔLHͷंͱɺLHͷ͓Γ"ˍ#Λ͍ܰ
࣭ྔͷແࢹͰ͖Δ ࢳͱंΛ௨ͯ͠ਤͷΑ͏ ʹͭͳ͙ɻ ਤͷഁઢ෦ΛϋαϛͰΔͱɺ͓Γ"ࣗ༝ མԼ͠ɺ͓Γ#ंͱ࿈݁͞Εͨ··མͪ ͍ͯ͘ɻ"ͱ#ɺͲͪΒ͕ઌʹচʹண͔͘ʁ άʔʣ"νϣΩʣಉ࣌ύʔʣ# ༧ͷཧ༝ ࣗͷ༧ ༧ͷཧ༝ ൝ͷ༧ ཧ༝ ݁Ռ ࣮ݧಈը https://youtu.be/XmRl2RJnN4o
՝ྫ III ɿࣼ໘ͷӡಈ 32 ൪ ࢯ໊ɿ ࣼ໘ͷӡಈ ՝ ͳΊΒ͔ͳࣼ໘ͷ্ʹंΛͷͤɺ੩͔ʹख
Λ͢ɻ͜ͷ࣮ݧΛɺLHͷंͱLHͷं Ͱߦ͏ͱɺͲͪΒ͕ઌʹԼʹண͔͘ʁ άʔʣLHͷं͕ઌ νϣΩʣಉ࣌ ύʔʣLHͷं͕ઌ ༧ͷཧ༝ ࣗͷ༧ ༧ͷཧ༝ ൝ͷ༧
՝ྫ IV ɿ ճసମͷӡಈ (େֶ͚ʹߟ͑ͨͷͰ͢) ɾ1 kg ͷྗֶंͱɺ1 kg ͷΛࣼ໘ʹ͓͍ͯ
ɹಉ࣌ʹखΛ͢ɻͲͪΒ͕ઌʹԼʹண͔͘ʁ ɾ͜ΕͩͬͨΒʁ (྆ऀಉ࣭͡ྔͩͱ͢Δ) 33
ͶΒ͍ ɾಉ࣌མԼΛݪཧͱ͠ͳ͍ ɾ׳ੑ࣭ྔɺॏྗ࣭ྔͷҧ͍Λཧղͤ͞Δ ɾճసӡಈʹͲ͏Өڹ͢Δ͔ ɾ׳ੑϞʔϝϯτͱ࣭ྔͲ͏ҟͳΔ͔ ɾײ͔Β Newtonian ͳࢥߟͱҠߦͤ͞Δ ɾਖ਼͘͠ߟ͑Εݱ࣮ͷݱ͕ຊʹͦ͏ͳΔ ɾؒҧ͑Δ͜ͱͷՁΛೝΊͤ͞Δ
34
Resources 35 2016. 04. 05. தԝେֶཧֶ෦ ཧֶՊFD
ཧڭҭݚڀͷཧͱतۀ࣮ફ ʮՊֶΛͲ͏ڭ͑Δ͔ʯRedish, ؙળ, 2012 ɹɹཧڭҭݚڀͷཧͱतۀ࣮ફ͕·ͱΊ ɹɹΒΕͨຊͰɺ།Ұ༁͞Ε͍ͯΔͷɻ ɹɹೝ৺ཧֶతͳղઆ͕ஸೡɻ ɹɹ֓೦ௐࠪʹ͍ͭͯৄ͍͠ɻ “ Five
Easy Lessons” Knight, Addison Wesley, 2004 ɹɹ֤୯ݩ͝ͱʹֶੜͷ࣋ͭޡ֓೦तۀ՝͕ ɹɹ·ͱΊΒΕ͍ͯΔɻतۀʹඇৗʹ༗༻ɻ “Teaching Introductory Physics” Arons, Wiley, 1996 ɹɹཧڭҭݚڀͷϨϏϡʔ֤୯ݩ͝ͱͷ ɹɹֶੜੳ͔ͳΓͷϖʔδɻࣙॻతʹ׆༻ɻ 36
ཧڭҭݚڀʹج͍ͮͨڭࡐ “Interactive Lecture Demonstrations”, Sokoloff & Thronton, Wiley, 2004 ɹɹஶऀͷतۀελΠϧͷϕʔε͜ΕɻେਓΛ
ɹɹ૬खʹٞͱԋ࣮ࣔݧΛ܁Γฦ͢तۀελΠϧɻ “Tutorials in Introductory Physics”, McDermott, Prentice Hall, 2002 ɹɹೝతᷤ౻ͷํ๏Λલ໘ʹԡ͠ग़ͨ͠ԋशॻɻ ɹɹReasoning ϝλֶशʹॏΛஔ͘ɻ “Peer Instruction”, Mazur, Prentice Hall, 2013 ɹɹ࣌ؒͷߨٛͱɺ՝ʹΑΔٞΛ܁Γฦ͢ ɹɹελΠϧͰ࣮ફ͍͢͠ɻרͷ܈༗༻ɻ 37
ཧڭҭݚڀऀ͕ॻ͍ͨڭՊॻ “Physics for Scientists and Engineers”, ɹɹɹɹɹɹɹɹɹ ɹKnight, Pearson, 2016
“Principles and Practice of Physics”, ɹɹɹɹɹɹɹɹɹɹ Mazur, Pearson, 2015 “Understanding Physics”, ɹɹɹɹɹɹɹɹCummings et al, Wiley, 2004 ͍ͣΕͷຊɺఆੑతͳཧղʹॏΛஔ͘ɻ ͦͷ··͏ʹݫ͍͕͠ɺतۀઃܭͷࡍʹɺ ̍खݩʹ͋Δͱศརɻ 38
Ή͢ͼ 39 2016. 04. 05. தԝେֶཧֶ෦ ཧֶՊFD
͜Ε͔ΒͷཧڭҭͷͨΊʹʂ ɾͰ͖Δ͜ͱ͔ΒΔɺ͋ΔͷΛੵۃతʹ͏ ɾͬͨ͜ͱڭһಉ࢜Ͱڞ༗͢Δ ɾੜె͚ͩͰͳ͘ɺڭһಉ࢜ͷڞಉମΛେʹ ɾʮͲ͏ڭ͑Δ͔ʯΑΓʮͲ͏ֶΜͰ͍Δ͔ʯ ɹʹ ɾʮᷦΈࡅ͘ʯΑΓʮטΈࡅ͔ͤΔʯ ɾͥͻɺࢲʹڠྗ͍ͤͯͩ͘͞͞ɻ ɹɹkatsuda.phys.edu [at]
gmail.com ɺ͍ͭͰ࿈བྷΛʂ 40