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1c:T11a6,こんにちは！RIZと申します。
今回は夏休みに一番時間をかけた数学で点数が取れなくて悔しいとは思いますが、間違えた問題についてはしっかり復習して、もし本番で出題された時に間違わないきっかけになったと前向きに捉えましょう！あくまで模試は練習ですからね。
さて、数学の学習方法についてですが、まず数学は3つ大事な要素があります。1つ目が計算能力です。これは言わずもがなですね。2つ目が解法パターンを覚えていることです。典型的な問題の解き方を知っているということですね。最後3つ目が思考法です。これはある問題に対する解法を考えるときの過程ですね。「なぜ」その解法で解くのかということです。
以上を踏まえて、今回の模試では何が不足していたから出来なかったのか考えましょう。例えば時間が足りなかったとすれば、計算が遅かったのか、解法を思いつくまでに時間がかかったのかなどが挙げられますし、単純に解き方がわからなかったとしたら、その時答えを見て理解できた場合は3つ目の思考法が足りなかったと考えられますし、もし答えを見ても理解できない場合は2つ目の解法パターンの把握がそもそもできていないことが考えられます。ここで不足点を洗い出して今後の学習の糧にしましょう。
以下では、上記の3つの要素のうち、特に意識しないと習得できないであろう3つ目の思考法にフォーカスしてお話しさせて頂きます。夏休みの学習で多くの時間を割いたということは、恐らく2つ目の基本的な問題の解法は頭に入っている状態だったけれども、模試などの初見の問題になると解けなくなるという状態ではないでしょうか。(もし違ったら申し訳ないですが、今回はその状態を前提にします。違う場合はコメント欄で教えてください。)この時今までの学習で見直してほしいのは、ある問題に対して、「なぜ」その解法で解くのかしっかり理解していたかということです。例えば「自然数に関してある命題を示せ」といった問題があった時にその問題が解けなかったとします。そこで解答を見ると、数学的帰納法で解いていたとします。こうなった時に、単純に解答で数学的帰納法が用いられていたから、こういう問題は数学的帰納法で解けばいいのかと理解するだけではいけません。なぜ数学的帰納法で解くのかを考える必要があります。それは今回の場合、自然数という条件かつ証明問題であることから、ひとまず数学的帰納法を疑ってみるという思考法が存在するからです。他にも図形問題が出てきたら、①幾何的(図形の性質)に解くのか、②座標に置いて解くのか、③ベクトルで解くのか、などを考えたり、といった思考法も存在します。これらの例はとても単純ですが、意外とこの「なぜ」といったところまで考えていない人が多いです。この場合、単純に解法を暗記しているだけなので、すでに解いた問題は解けるものの、類題になると手も足も出ないという状態にも陥りかねません。数学はこのように、ある具体的な事例から、抽象的な「思考法」を考えることがとても重要です。この思考法は一般的に使えるので、初見の問題でも条件から適切な解法を選択することができるようになります。なのでもし今回の模試が出来なかった理由が、この「思考法」という要素が欠けていたからであれば、今まで使っていたテキストなどを見直して、「なぜ」その解法で解いているのか説明できるようにしてみると良いと思います。
最後になりますが、阪大の文系数学は基礎的なレベルの問題が多いです。今からでも十分間に合います。まずは焦らずに自分が間違えた理由を分析して、特に「なぜ」を考えて勉強してみてください。ご質問等ありましたらコメント欄でお願いします！2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=Js7yumYBTqPwDZPuJOd8","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"第3回全統模試大失敗"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",2,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"10/28 22:52"}]]}],["$","div",null,{"className":"coach-mark mb-4","children":"UniLink利用者の80%以上は、難関大学を志望する受験生です。これまでのデータから、偏差値の高いユーザーほど毎日UniLinkアプリを起動することが分かっています。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_C5D4B39054164A1CB9225319DCA57E79.jpg?alt=media&token=961a5dd0-23d9-4613-92de-149ef5ade63b","clientUserName":"🤥","infoString":"高3 富山県 京都府立医科大学志望","adviceId":"Js7yumYBTqPwDZPuJOd8"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"先週第3回全統模試がありました\n結果は英語8割国語理社7割ちょいとまあまあでしたが\n数学2Bが破滅的で43点でした。 今まで数学が結構\n得意な方でそれ以外苦手だったのに点数が逆転\nしてしまいました。自己採してて泣きたくなりました\n数ⅠAも6割しか取れなくて塾の先生に\nやばいよと言われました。  \n しかし数II･Bのほうが低すぎてどうすればいいかわかんなくなりました、、  黄色チャートはほぼ完璧にしたし\n全統の過去問集(黒本)も何回かしてセンター過去問も2年分ときました他に何をすればいいか教えてください！！"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],["$","div",null,{"className":"mt-4","children":["$","div",null,{"children":[["$","div",null,{"className":"flex items-center mb-2","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M9 12c1.93 0 3.5-1.57 3.5-3.5S10.93 5 9 5 5.5 6.57 5.5 8.5 7.07 12 9 12zm0-5c.83 0 1.5.67 1.5 1.5S9.83 10 9 10s-1.5-.67-1.5-1.5S8.17 7 9 7zm.05 10H4.77c.99-.5 2.7-1 4.23-1 .11 0 .23.01.34.01.34-.73.93-1.33 1.64-1.81-.73-.13-1.42-.2-1.98-.2-2.34 0-7 1.17-7 3.5V19h7v-1.5c0-.17.02-.34.05-.5zm7.45-2.5c-1.84 0-5.5 1.01-5.5 3V19h11v-1.5c0-1.99-3.66-3-5.5-3zm1.21-1.82c.76-.43 1.29-1.24 1.29-2.18a2.5 2.5 0 0 0-5 0c0 .94.53 1.75 1.29 2.18.36.2.77.32 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mb-1","children":"私も高3の初めの実力試験で平均点60点くらいの数学のテストで15点を取り、それまでに味わったことのない絶望感に苛まれました。それこそ質問者さんのように先生に見放されたのではないかと思ってしまいました。国立の理系志望だったのでこの点数はかなり絶望的だったのです。\nですが今は無事第一志望に現役合格して大学生活を送っています。ここでは私がどのようにして立ち直ったかをお伝えしますね。\n\nまずは冷静になってテストでなぜ間違えてしまったのか見直しをしました。私の場合はケアレスミスのオンパレードで、もはやそれが積み重なってケアレスに収まらないくらいの失点になっていたことがわかりました。その後はまだ基本がしっかり出来ていないからこんなミスをするんだと思ったので高3の夏休みまで難関大学で頻出の問題を解法を覚えるように解いていきました。\nでも、夏の模試の判定はD判定。\nやっぱり数学のテストで15点を取るような人間が難関国立大学に行こうなんてばかげているんだ、と思いもしました。\nだけれど、受験というのは総合力勝負なんです。一つの教科が悪かったなら他の科目でカバーすればいい、と気づいたんです。もちろんそれ以降数学の対策を怠ったわけではありませんが、自分の中で及第点を決め、最低限その点数までは上げると決めました。(それでも最終的に志望校の問題で40点分くらい上げることができました。)さらに点数を取るため他の教科で効率の良い点数の稼ぎ方を身につける勉強法に切り替えていきました。この作戦が功を奏し、夏の時点から志望校の問題の得点を90点近く上げることに成功したのです。「こんな惨めな思い二度としなくない」という気持ちが原動力になっていたのだと思います。\n\n長々と自分語りをしてしまいましたが、要するに精神の持ち方に関しては「一度失敗した人はそこから多くを学び、もう二度と失敗しないように努力し頭を巡らせることで十分にその力を伸ばすことができる」ということです。\n勉強面に関してはあなたの足りない部分を分析して、それにあった対策を講じていくことできっと点数は伸びますよ。英語の勉強法ならシャドーイングとかがオススメです。\n\n長文になりましたが、ここまで読んでくれてありがとうございます。頑張ってくださいね！\n"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"不安 模試結果 東京外国語大学志望"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"事実上の不合格体験記を書きましょう。\n僕は中2から高3の2月まで東京大学の理科3類を志望していました。しかし模試はほとんど全てE判定で、D判定は僕の記憶では2回くらいしかとれませんでした。\n結局センター試験の失敗もあり志望を理科I類に下げ、物理で大失敗したものの合格しました。ところで、点数開示を見てみると、理科3類の合格最低点に対して僕の点数は、仮に物理で失敗していなかった場合、10点程度足りないだけだったんですね。\n何が言いたいかというと、僕たちが思っているよりもはるかに、E判定とA判定の距離は近いということです。\n模試で取れないのは当然です。なぜなら本番よりもはるかに難しく作ってあるから。東大の合格点は230点ですが、模試では190点でA判定がきます。東京外国語大学の場合でも、同じことが起こっているはずです。\n自分が進めているかどうかは、やはり過去問演習で評価するべきです。模試は、他の受験者も成長する、「不安定な演習」です。\nそれに振り回されるのは本当に辛いことと思います。\n\n勉強の仕方については、所属している予備校のやり方を信頼するしかありません。こういう時には自分で考えても無駄なことが多いですから。ただ、何ができて、何ができないかをしっかり把握することは、どんどんやっていきましょう。そうすれば、少なくとも不安はなくなり、無我夢中で勉強できるはずです。\n本当に辛いこととは思いますが、そこまでの熱意を持っているのです、受かりましょう。過去問で最低点が超えられれば、GOです。"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"分からなくなってしまった"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"初めまして。個人的な見解ですが、質問者様の模試や過去問の出来具合からすると、基礎ができてないということは無いと思います。もし、あったとしても少し時間を置いてしまって忘れたというあたりでしょうか。誰しも模試の成績というのは安定しないものなのであまり気にしすぎなくてもいいと思います(けど、気になっちゃうのが人の性)。また、今までできてた共通模試なら…と少し油断もあったかもしれません。もちろん模試のミスの確認は大事です。ただ、もう10月も半ばであまりに基礎に戻るとそれはそれで時間の無駄になってしまうので、自分で強くここはもう一度振り返らなきゃと思わない限りは戻る必要はないと追います。\n\n時期を追うにつれ、模試のレベルも本番に近づくのでこれからはやはり過去問に割く時間を増やしていくべきです。そして過去問を解いていくうちに、何度もミスを繰り返してしまう苦手な分野や大問が見つかると思います。そのようなところが見つかれば何度も何度も繰り返し解き直したり、年度を変えて同じ部分を解いたりしてみるといいと思います。(自分は社学の文法を10年分コピーして何度も赤セルで解いてました。)\n\nこれからは模試、過去問の出来で心身が不安定になると思いますが、出来が良ければ自分を褒め、悪ければ冷静に自己分析をして次に生かすことを意識してほしいです。「ミスの発見＝合格への歩みより」ですから安心してください笑\n応援しています📣"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"模試の結果…自分がクズい"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！\n\n模試の結果はあまり気にしぎる必要はないと思います！模試はあくまで模試なので結果よりも大切なのは自分の弱い教科を見つけるということです！この弱点の教科を模試を受けて見つけて、それを次の模試までに克服するというのが大切だと思います！\n\nマークミスなどもとにかく切り替えるしかありません。受験本番でもあり得るし、早慶の試験は連続になることが多いため前の試験を引きずるのではなく常に前を向いていきましょう！！\n\nそして偏差値について気にしがちですがぶっちゃけあまり気にする必要はないです。その理由は早慶やMARCHの私大を受ける方には共通テストの模試や記述模試というのはあくまで目安にしかならなくて、結局最後に志望校の合格点が取れるかどうかにかかっています。ここを必ず肝に銘じて欲しいなと思います。どんな偏差値でも大切なのは最後に過去問に太刀打ちできるかどうかにかかっています！！\n繰り返しになりますがとにかく過去問で合格最低点（早稲田なら受験者平均点プラス1.5割）これを取れれば受かるのでこちらを目標していってください！！\n是非模試はあくまで一つの指標として捉えるくらいの方がいいと思います！\n\n参考になれば幸いです！！また、いつでも何か聞きたければコメント、メッセージでお答えするのでお気軽にどうぞ！（答えられる範囲で答えます！）頑張ってください！！\n\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"成績急降下中です"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！京大工学部のものです。\n\n自分の話ですが、自分も高3の頃に夏前にB判定を取ったあと、秋にD判定をとったりしたことがあるので、あなたの不安で焦ってしまう気持ちがとても分かります。いい判定で油断しないように、しっかり勉強してたのになんで？っていう気持ちで一杯でした。でも、ここは一旦落ち着いて考えるべきです。なんでその模試でうまく点がとれなかったのかを考えてみましょう。\n\n自分の場合は、得意だった数学を過信していたのですが、その模試では思うように解法が出てこず、数学でそこまで、点を稼げなかったということ、あと理科の物理、化学の範囲をきちんと網羅しきれていなかったことが原因でした。そこから、出てきた対策というのは、まず物理、化学の勉強してない範囲を一刻も早く終わらせる(もう秋だったので)というのと、数学に頼りすぎない→勉強時間を英語や理科にもっと割くということでした。\n\nあなたの場合だと、高3になって模試の成績が落ちたというのは、もしかしたら、理科や数3が模試の範囲に追加されて、そこで点を落としているのかもしれません。(もちろん、他の理由も考えられます) 原因を考えて、そこから次にどういう風に勉強すればいいのかを考えることが大事です。あと、模試の復習はした方がいいです。難しい問題が多いと思うけど、復習すれば、A判定もE判定も一緒です。\n\n悪かった原因を考えて、それを次に生かすなんて理想的なことを書きましたが、やっぱり模試で悪い判定を取ると落ち込んでしまいますよね。自分はそういう時、「程よく」落ち込んでいました。しばらくしてくると、段々立ち直ってきて、また勉強しようという気になれました。悪い判定を取ったとしても、めげずに勉強してれば絶対に合格できると信じて自分は勉強してました。もちろんそんなわけないとは分かっていましたが、そう強く信じていたことで、心が支えられていました。大丈夫です、最後まで、しっかり勉強すれば、きっと合格できます。頑張ってください！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"成績が下がりつづけています"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"模試の復習はしましたか？\n間違っている問題はどのような間違いだったのでしょうか。\nその穴埋めをとにかく始めることからだと思います。\n私はずっと数学が得意で英語が苦手だという感覚を持っていたのですが、いつも模試では数学でケアレスミスを連発してしまい、数学より英語がいいという結果に陥っていました。でも実際、入試の時に出来たのは英語ではなく数学でした。\nもし、単純なミスとかで間違ったりしているのなら、らあまり気に病むことはありません。\nもし単純なミスじゃないミスをしているのなら、穴がわかってラッキー！と思いながらしっかり復習をしましょう。\n\n大事なのは、今の成績じゃなく、自分の問題を解いた時の感覚、です。\n\n現役生にしか伸びしろがない、なんていうのは嘘で、今からいくらでも伸びると思いますよ。\n自分の頑張ってきたことをちゃんと信じて、ラストスパートかけてみてください。\n心から応援してます！！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"不安 模試結果 東京外国語大学志望"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"どうしてもこの時期の判定が悪いと不安ですよね。\nどうしたらいいのか、このままでいいのか。\nでもどうしてもあの大学に行きたい。\nその思い、諦めてはダメです。\n苦しい現実から逃げて後から後悔しませんか。過去には戻れません。僕は高3浪人と2年受験生をすごして、何度も苦しい逃げたいと思いました。でも逃げずに頑張れたから、今、楽しい大学生活を過ごせています。\nとにかくもがきながら、なにくそ、負けてたまるか、と諦めずに頑張ってください。\n\n模試の受け方としてはいいかんじです。根拠を考えて解かず、フィーリングで解いているなら、本番点をとれるかどうかは運に任せることになります。\n\nまた、なぜ点を取れなかったのなら、どうして間違えたのか、どこが間違えていたのか考え直しましょう。\nちなみに模擬試験は予備校の先生なりが作ります。やはり質は大学の先生が作るものにはかないません。(予備校の先生が言ってました)センターでの演習を忘れないでください。模擬試験はあくまで模擬。本番が全部。根拠を持って回答し、間違えばなぜか、合えば根拠は間違えていないかを見直しましょう。また時間もしっかり考えてください。\n\nとにかく頑張ってください。不安な日々ですが、いつかは解放されます。今しかできないことを全力で！応援してます。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs","children":["京都大学薬学部"," ","ちぇるゆう"]}]]}],["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"flex","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 6v11.5c0 2.21-1.79 4-4 4s-4-1.79-4-4V5a2.5 2.5 0 0 1 5 0v10.5c0 .55-.45 1-1 1s-1-.45-1-1V6H10v9.5a2.5 2.5 0 0 0 5 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