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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！1d:Tbec,こんにちは！受験勉強お疲れ様です👍
諦めたくなくて沼に入ってしまう気持ちや途中の問題がわからなくて不安になる気持ちすごく分かります。

まず、覚えておいて欲しいのは解く順番、時間配分というのは実力を発揮するための戦略です。人それぞれ自分に合った戦略があるので、焦る気持ちは分かりますが、噂などを聞いて模試直前にやり方を変更するのはやめた方が良いです。問題演習で自分なりの戦略を立てて、模試や本番では自分のやり方を信じて貫きましょう！

では、分からない問題に拘り過ぎて時間が足りなくなることの解決方法を挙げていきます。

①問題１つごとの時間を決めて次に進む。

東大の方が言っていたこのやり方も解決方法の一つです。ただし、大問１つごとの時間を決めるだけでなく、各小問の大体の時間も最初に決めてしまう、というのも大切です。
例えば、大問1に20分かけると決めたとします。その後、小問の字数指定や解答欄の大きさなどから、20分のうちの何分をその問題に割り当てるかを大体決め(マークの場合は全問同じ時間を割り当て)、問題番号の上に書いておきます。
小問に割り当てられる時間を把握していない場合、大問の最初の問題で沼に入ってしまうとその大問のほとんどを飛ばさざる終えなくなります。時間配分を細かくして、飛ばす量を極力減らすというのがこのやり方のメリットです。

②わからない時点で大問を変える

これは実際に私が採用していたやり方なのですが、国語の場合、文章の読み取りができず焦ってしまう事があると思います。その時に一旦大問を変える事で焦りをなくし、頭の中をリセットできるようなやり方です。
具体的には、回答を書いたり、選んだりする際1分止まってしまったらすぐ次の大問に移り別の文章を読み始めるということを繰り返していました。
このやり方のメリットとしては、各大問にやはり難易度の差があるので点が取りやすい大問に時間をかけれるという事にあります。

以上ふたつが時間が足りなくなることの解決策です。ぜひ試してみてください。
また、もし時間に余裕があるのであれば問題演習を通して、自分なりのやり方を開拓してみるのもおすすめです。実際に私も2週間色々なやり方を試す期間を作り、そこで自分に合ったやり方を見つける事ができました。
得点にならなくても実力がついているということは良くあります。ぜひ自分に合ったやり方を見つけて実力を得点に繋げられるように頑張ってください！応援しています！！1e:Tc25,まずはどの科目にも言えることですが、基礎をしっかり理解し、解けるようにしてください。

基本問題を解き、わからないところは教科書や参考書に立ち返り復習する癖をつけましょう。
そして解法パターンを身につければ、応用問題も怖くありません。

数学はとにかく問題を解けばいい、と思っていませんか？
実はわたしもそう思っていました。
なので理論もわからず、とにかく問題集（私は青チャートを使っていました）を解き、間違える日々。

しかしこの勉強法は間違っている、と浪人してからやっと気付きました。

数学には定型パターンがあります。
高校数学を難しく感じるのは、そのパターンが非常に多いためです。
なので、まずはお決まりのパターンをしっかり覚えるようにしてください。

こういう問題がきたら、この公式だな、ってすぐに思いつくレベルまでもっていくのです。

以下、具体的な方法です。

私は青チャートを使っていたので、青チャートをイメージしてお答えしますが、ご自身の使っている問題集に置き換えて参考にしてみてください。

1.まずは一通り例題を解き、公式の使いどころを覚える。（基本問題）
→数学には解法パターンがあります。こういう問題が来たら、こういう方法で解く、というのが反射的にわかる、身につく、というところまでもっていきます。
この時、公式がわからない、理解できないときは教科書を開いて理解するようにしましょう。

2.例題の下にある問題を解く（標準問題）
→わからなくてもすぐに答えなどみずに、10分は考えるようにしましょう。この時色々な公式や解法が頭に浮かべば、知識は身についている証拠です。
逆に標準問題で手も足も出ないなら、教科書に立ち返りましょう。
ここまでできれば、定期テストや模試である程度の得点は見込めます。（青チャートなら国立大やマーチレベル）

3.章末問題を解く（応用、発展問題）
→数学を得点源にしたい人、難関国立大や早慶を狙う人は最終的に解けるようにしましょう。
このレベルだとさまざまな公式を合わせて使う、複合タイプの問題になります。
この問題をやるときは、「自分がどこまでわかっていて、どこからがわからないのか」をしっかり把握するようにしてください。復習するときはできないところの例題などを見返し、できるようにしましょう。
これが解ければ模試の大問もほぼ完投できます。


このように、大事なことはとにかく、
理論を理解する
ことです。
闇雲にやって量をこなすのではなく、丁寧に時間をかけて勉強してください。
2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=rM6H4ofSPumj8haa","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"生かして解く"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",1,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"8/26 18:41"}]]}],["$","div",null,{"className":"coach-mark 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"文系数学の勉強法について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"慶應経済のものです。\n自分も数学受験ですのでお答えさせていただきますね。\n\nさていきなりですが、問題を解くときどのように解いていますか？もし、解く→答えを見る→採点する。これだけで終わっているなら伸びるわけがありません。『高校数学は暗記だ』などと言ってる人をたまに見かけますが、基本的に数学は理論です。解くだけではなく理解して初めて身につく力となる学問です。ですから解いて答えを見て採点した後に、じっくりと解説を読んでください。そしてじっくりと読んだ後、解説を見ずにもう一度問題を解いて、解説の解き方を再現できるようにしてください。この一手間を加えるだけでかなり理解度が変わってきます。\n\nそんなのもうやってる！って場合は、焦らないでください。もしこのやり方がきちんと出来ているならば身につかないはずがありません。それはただ問題の練習量がちょっと足りないだけです。でも今の時期からやれば必ず間に合います。だからこそ焦らないでください。精神的な話になってしまいますが、自分はできる、と思い続けることはかなり重要です。もしすぐに点が伸びなくて悩んでしまっても、『きちんとしたやり方でやってるから大丈夫。もう少し頑張れば必ず点は伸びる』と自分を信じてください。焦りや不安は自己嫌悪につながり大変よろしくないです。是非自分を信じてあげてください。\n\n最後に具体的なことになりますが、夏休みには一度自分の志望校の過去問を見ておくといいと思います。自分と志望校の距離が掴めますし、練習とは違った生の問題、本当の試験としての問題を見ておくことは今後の勉強のモチベーションに関しても学力向上に関しても重要です。また、志望校が早慶であるならば、日東駒専あたりの同じ学部、あるいは問題の出題範囲が似ている大学の過去問を解いて行くといいです。難易度が下がりますので志望校よりも簡単に解けるはずです。是非とも頑張ってください。\n\n心から応援しています"}],["$","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":[["$","div",null,{"className":"mb-1","children":"たくさん問題集を解くのはあり？"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！\n\n自分も同じような問題に悩んでいました…。問題を解くスピードが少ない人間なので、質を極めたり色々試行錯誤をしていました。\nあまり参考意見が少ないのも難点ですよね…。\nその経験と、自分の友人の経験など様々な観点から答えます！\n\n最初に質問に答えていき、次に背景的な理由（時間なかったら飛ばしても大丈夫です）を答えます！\n\n結論から言えば\n解く量は多いに越したことはないが、解く問題は厳選した方がいい！ですね。\n具体的には、例えば、センター・共通テスト対策であれば、1に過去問、2に（個人的には）駿台の予想問題を、完璧に解けるようになるまで周回するのが良いですね〜\n\n他の質問にも答えていきます。\n・できない原因を見つけて参考書に戻るプロセスは適切か？\n→その通りです。できる範囲でそのプロセスを維持していただきたいですね〜\n・順調ですか？\n→順調ですよ！センター系は後期に延びることが多いので、大丈夫です！\n\n基本は、そのプロセスを自分のできる範囲でやる！ということです。多くの人の場合（自分も含め）そのプロセスを大量の問題でするのが難しいので、参考書は絞ってやれ！と教えられているのです。なので、できる！と思うのであればやるべきですよ！\n\n＜理由＞\n基本的に、受験勉強は「具体例の積み重ね」にあります。なので、問題をたくさん解けば、解いた問題と似たような問題が試験に出る確率がUPします！ガチャと同じように引けば引くほど当たる確率はUPするんですね。\n\nところが、人間、受験勉強に使える時間は限られています。だから人は「受験によく出る問題」を求めるようになります。それを良く「良質な問題」と呼びます。\n「大学がよく出す問題＝大学側がわかって欲しい内容」（自明です）なので、学問的にも質がいい問題が厳選されますね。著名な問題集はそうした問題を多く取り扱っています。\n\n特に注意しておきたいのは、最高に良質な問題＝過去問になります。過去問は、色々な予備校の先生の口を揃えて言いますが、「繰り返し」がおきます。大学側が求めているのですから必然です。\n\nなので、たくさん問題を解く時に注意して欲しいのが、この「質」という部分なのです。そういうところに注意しつつ受験勉強頑張ってください！！"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"難問との向き合い方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"その感じよくわかります。\n\n私の経験からお伝えするならば、あなたがお考えのようにたくさん問題を解くことと、さらに付け足すならば、制限時間を決めて難問と向き合うことが打開のカギになります。\n\n\n1つ目のたくさん問題を解くことには大きく3つの目的があります。\n\n①典型問題の典型的な解法を身につけること。\n②問題の捉え方の視野を広げること。\n③計算ミスや勘違いを防ぐ注意力を高めること。\n\n①においては、いわゆる標準レベルの問題に相当しまして、問題集などでは例題として取り上げられていることが多いです。この手の問題は考え方を理解した上で動きをパターン化させてしまうのもアリだと思います。\n\n②については発想力です。よく問題を解いていて「こういう風に考えれば良かったのか」とか「着目する場所が違った」と思った経験はございませんか？いわゆるこの発想力を高めるには演習の経験値を積んで、問題の見方や捉え方を知っていくしかないと思います。\n\n③はおそらく最後まで悩むものです。このようなミスで本番減点されないためにも演習量は確保しなければなりません。\n\n無意識的にこの目的が達成されますので、ひたすら問題を解く効果は実感しにくいですが、大変重要なものです。\n\n2つ目のきちんと難問と向き合うことについては、上述した②に近いものがあります。つまり、難問は一見問題文を読んだだけでは解法が見えてきません。\n\nそれを打破するには、とにかく問題文から分かることを書き出してみる、その書き出されたものから他に分かること、ヒントはないかと悩み、少しずつ紡いでいくことで解法が見えてくることが多いです。\n\n長い時間粘っていても効率が悪いですので、きちんと時間を決めて、その間はひたすらあれこれ考えて解法の糸口を見つける経験を日頃から積んでいると、自力で解ける問題が増えてくると思います！\n\n\nおそらく入試本番でも悩むような難問は出てきます。\nそこで自力で解法を見出せるかどうかは、やはりたくさん問題を解く経験値と日頃から難問と向き合ってきたかの2つがキーになると思います！\n\n"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"解法が浮かばない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"思考を形に残すのです！\nまず京大の解答用紙はa3で、右半分が計算スペースとなっています。\nダメな人は頭の中で全て考えてごちゃごちゃと計算用紙に計算していますが、少しでも詰まると何もわからなくなり、思考停止してしまいます。\nこれは、人間の脳の特性による物です。人間は英単語などの外部に存在する物事を覚えるのは得意ですが、思考自体を記憶することができないと言う物です。\nあなたも10秒前に頭の中に考えてたことを完璧に紙に書き起こすことはできないでしょう。\n思考を残すために、最初から回答欄に解き進めると良いでしょう。\n計算のみ右の計算スペースに残すのです。\nさて、その解き進める解放についてですが、まず問題を見れば幾らかの解放が選択肢としてあると思います。\n整数ならMODや積の形にしたり連続関数のグラフで考えたり、、、、などですそのそれぞれの解法について、その問題にはどれが適しているか妥当性を吟味する癖をつけましょう。\n解けない方法で無理に考えても、何も生まれません。\n解法を絞ることができたら、解答欄で解き進めましょう。\nどんな感じかのイメージですが、YouTubeで東大理科三類のルシファーさんが数学実況をしている感じでやりましょう。\n解答欄に書きながら計算だけ違うスペースでします。\nすでにその解放に絞られているので、行き詰まった場合はその原因は計算ミス以外にありませんので計算を再度やり直すだけで解決します。\n\nこの方法は最初は1ヶ月ぐらい慣れるのにかかりましたが、慣れると5完半は余裕です。\n正直6完も行けるようになりますが、計算ミスが怖いので僕は5完半で止めて計算見直してました。2020年の過去問でも5完半ですし、今年の2024の本番でもそうでした。\n本当に安定します。\nさて、ここからの勉強の話です。\n解法をまず知ると言うことと、その解放を使いこなす必要があります。\nその二つとも同時にカバーできるのが、駿台の実践過去問集の青い本です。\nメルカリで古いものを探すなどして、2000年前後の物まで全て150分測って取りかかりましょう。\n駿台の実践模試は解放を使いこなすことができたら容易に回答できる、使いこなせないなら全く回答ができないという感じですので本当に力がつきました。\nそれが終われば京大の過去問、そして余裕があれば東大の過去問をやりましょう。\n\n後輩になってくれるのを心より楽しみにしています！"}],["$","div",null,{"className":"flex 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