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1a:Tf28,ある程度の数学の基礎は身についていると思うのでその先の勉強方法について話したいと思います。
数学の難しい問題というのは解き方の展望が見えてこないものが多くあります。なので、正確に文章を読んで、文章の中からヒントを拾ったり、式の形をみて、使えそうな公式や、定石となる解き方を考えてみることが必要になります。おそらくランボさんはこのようにして、いくつか選択肢に上がった解法の中に正解となる解法があったのにそれが使えなかった、ということだと思います。しかし解き方を思いついてから最終的な解答方針まで見えてくることはほとんどないと思います。難しい問題はイメージとしては壁が2〜3段階あるという感じです。最初の足がかりとなる解き方をして出てきた式が解けない。そして再び考える。それに対して解き方を考えまたやる。問題を解く時はこれの繰り返しになってきます。
難しめの問題のイメージを話したので、次は勉強方法について書いていきたいと思います。数学は多くの問題集に手を出すより、一冊完璧に、とよく言いますが、その通りだと思います。なぜなら、結局一冊の中に大方必要になってくる解法は全て入っているからです。そして例えばプラチカであればその単元ごとにまとめて学習していくことをお勧めします。その時に確率であれば、P型、C型、漸化式型、円や数珠順列、条件付き確率、じゃんけんや、勝敗を決めるパターン、etcがあると思うので、そのパターンを「漏れなく、だぶりなく」身に付けるとともに、どのパターンの問題はどうゆうような問題文になっているのかを自分なりに考察することが大切です。例えば、簡単な例ですが、組み合わせの時に同じようなものを区別するかしないかで解き方が変わると思います。このように問題文や式を観察して、どのときにどのパターンを使うことが多いか分類すると良いでしょう。このとき、「漏れ」がないことで、どれかのパターンに帰着し、「だぶり」がないことで、実は同じ解法なのに出題形式が違うから両方覚えてしまって、どっち使うか迷うような手間が省けます。そこを意識して勉強するのがいいと思います。
最後に過去問についてですが、過去問はあくまで出題形式、傾向や、時間などを確認して実践するものだと思っています。なので直近6年のものは残しておくべきでしょう。またマスターって言葉の定義は曖昧です。マスターが過去問の解き方を覚えるだけであるなら無駄だと思います。問題を見て、なんでこの解法をしたのか考え、そして始めてその問題を見たと仮定したとき、その問題文からどんなキーワードを拾ったら、自分がその解法にたどり着くかというところまで考え、身に付けることができて、始めてマスターしたと言えます。それなら過去問のマスターはかなり有用だと思います。数学は初見で考え、解いて、解答をみて、終わる人が多く、初見で考えることが重要だと思われがちですが、それを可能にするには解答をみた後の上記の考察がもっとも重要になると思います。
試験本番までまだあと4ヶ月あります。十分に身に付けるだけの時間はあると思うので最後まで頑張ってください。応援しています。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=pkuai3QBTqPwDZPumFdh","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"難問との向き合い方"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",11,") コメント(",0,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"9/14 16:53"}]]}],["$","div",null,{"className":"coach-mark 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mb-2","children":"回答"}],["$","div",null,{"className":"mb-4","children":["$","$L15",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_848B2C6F7616431286F3331746FA0D8C.jpg?alt=media&token=f9d40ca0-4f9f-4031-a0cd-73b6b73abed2","adviserName":"まー","adviserDepartment":"東北大学教育学部","adviceId":"pkuai3QBTqPwDZPumFdh"}]}],["$","div",null,{"className":"coach-mark mb-4","children":"すべての回答者は、学生証などを使用してUniLinkによって審査された東大・京大・慶應・早稲田・一橋・東工大・旧帝大のいずれかに所属する現役難関大生です。加えて、実際の回答をUniLinkが確認して一定の水準をクリアした合格者だけが登録できる仕組みとなっています。"}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap mb-4","children":[["$","div","advice-part-0",{"children":[null,"その感じよくわかります。\n\n私の経験からお伝えするならば、あなたがお考えのようにたくさん問題を解くことと、さらに付け足すならば、制限時間を決めて難問と向き合うことが打開のカギになります。\n\n\n1つ目のたくさん問題を解くことには大きく3つの目的があります。\n\n①典型問題の典型的な解法を身につけること。\n②問題の捉え方の視野を広げること。\n③計算ミスや勘違いを防ぐ注意力を高めること。\n\n①においては、いわゆる標準レベルの問題に相当しまして、問題集などでは例題として取り上げられていることが多いです。この手の問題は考え方を理解した上で動きをパターン化させてしまうのもアリだと思います。\n\n②については発想力です。よく問題を解いていて「こういう風に考えれば良かったのか」とか「着目する場所が違った」と思った経験はございませんか？いわゆるこの発想力を高めるには演習の経験値を積んで、問題の見方や捉え方を知っていくしかないと思います。\n\n③はおそらく最後まで悩むものです。このようなミスで本番減点されないためにも演習量は確保しなければなりません。\n\n無意識的にこの目的が達成されますので、ひたすら問題を解く効果は実感しにくいですが、大変重要なものです。\n\n2つ目のきちんと難問と向き合うことについては、上述した②に近いものがあります。つまり、難問は一見問題文を読んだだけでは解法が見えてきません。\n\nそれを打破するには、とにかく問題文から分かることを書き出してみる、その書き出されたものから他に分かること、ヒントはないかと悩み、少しずつ紡いでいくことで解法が見えてくることが多いです。\n\n長い時間粘っていても効率が悪いですので、きちんと時間を決めて、その間はひたすらあれこれ考えて解法の糸口を見つける経験を日頃から積んでいると、自力で解ける問題が増えてくると思います！\n\n\nおそらく入試本番でも悩むような難問は出てきます。\nそこで自力で解法を見出せるかどうかは、やはりたくさん問題を解く経験値と日頃から難問と向き合ってきたかの2つがキーになると思います！"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_848B2C6F7616431286F3331746FA0D8C.jpg?alt=media&token=f9d40ca0-4f9f-4031-a0cd-73b6b73abed2","adviserName":"まー","adviserDepartment":"東北大学教育学部","adviceId":"pkuai3QBTqPwDZPumFdh","numberOfFan":71,"clipsAvg":10.023952095808383,"adviceRateAvg":4.6875,"profile":"東北大学　教育学部在学中。\n\n\n浪人経験あり。\n受験で酸いも甘いも経験していることが売りです。\n成功と失敗の両方を経験しているからこそ、伝えられることがたくさんああります。\n\n\n受験科目は英語、国語、数学ⅠA、数学ⅡB、日本史B、倫理、政治・経済、生物基礎、地学基礎\n\n得意科目は英語と日本史\n苦手科目は理科基礎\n\n【合格した大学】\n東北大学　教育学部\n慶應義塾大学　文学部\n明治大学　政治経済学部(7科目センター利用)、法学部\n立教大学　法学部\n学習院大学　法学部\n法政大学　法学部、経営学部(7科目センター利用)\n立命館大学　法学部(7科目センター利用)\n成城大学　法学部\n\n\n国立組にしては私大も数多く受けている方なので、国立との両立や国立志望からみた私大の問題のイメージ等をお伝えできるかと思います！\n\n\nもちろん、オンラインで学習指導や勉強計画等の指導も行なっております。\n\n塾講師でアルバイトしていた経験もございますので、是非そちらもご検討ください！\n\n\n皆さんからのご質問には、懇切丁寧にお答えするようにしております。それから、なるべく現実をお伝えするように意識しております。是非ご気軽にご連絡ください！\n\n　　　　　\n\n皆さんのお力に少しでもなれればなと思っております！\n本気で頑張る受験生を応援しています！\nよろしくお願いします！\n\n\n\n\n"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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mb-1","children":"こんにちは！\n\n早稲田の理系志望ということで、おそらく悩みは数学か理科だと思うので、どちらも対応できるよう回答させていただきます。\n\n・数学\n\n数学ですが、解答を見れば理解できるということで、基礎的な問題の解き方は抑えられているのだと思います。\n\n応用問題は基本的には基礎問題の組み合わせでできていますので、「今まで解いた問題の中でこの問題に似た問題はなかったか」「問題文のこの部分を数式に訳すとどうなるか」という多方向の視点からまずは問題を見るようにしましょう。それだけでも変わるはずです！\n\nそして、この視点からの考え方の見につけ方ですが、やはり問題演習の量が必要です。また、1つの問題に対してじっくり考え、多方向の視点から見ることができるような耐久力と思考力が必要になります。基本的な問題は覚えるのにそこまで時間はかからなかったかもしませんが、ここは時間をかけていきましょう。\n\n1度考えた問題については、あまりに変な問題でない限り考え方を覚えた方がいいです。応用問題にありがちな考え方などもありますし、似た問題が出る可能性もあるからです。\n\nまた、知っているかもしれませんが、僕自身はYouTubeの「PASSLABO」というチャンネルの数学の動画をよく見ていました。1つの問題だけではなく、ほかの問題に繋がる思考のポイント(特に整数など)を効率よく学べるので、疲れた時に見るのがかなりオススメです。\n\n・理科\n\n理科は数学とは違い、思考力のようなところを鍛える必要は数学ほどありません。それよりはとにかく問題演習量を積みましょう。\n\n理科は問題演習をすればするほど伸びる科目と言われます。それは、発展的な問題がそのまま問題文違いや数字違いで出ることが多いからです。これは、理科が数学ほど計算メインの科目ではなく、知識と計算が半々で重要であることに起因します。\n\nですので、もちろん過去問演習などの時には1問1問じっくり考えて、今までやった問題で似たものは無かったかなど考えるのは大事ですが、問題集で全く分からなかったものは潔く解答を見て理解することが大事です。同じような問題を別の問題集でまた解いてみる方が懸命でしょう。"}],["$","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":"英語長文"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"凄く気持ちはわかります。僕も全く同じでした！きっと本当に頭の良い人は、1回読んだだけで全部理解して内容も覚えていて解けるんでしょうね、、、😂でも僕みたいな凡人はそんなことできません。じゃあ凡人は凡人なりに工夫してやってみましょう。\n\nということで僕がやっていた方法を紹介します。といっても大したことではないです。僕はまず先に問題と選択肢を読んで選択肢に丸をつけたりしました（固有名詞など）。それから問題文を読んでいって、あれこれなんかさっき選択肢で見たぞみたいなやつがあったら問題と見比べて考えてやったりしていました。問題の解き方に正解はないとおもいます。またこの方法が質問者さんに合うかは分かりません。もしやってみて合うのであればやってみてください！"}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"過去問の解き方、復習の仕方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"過去問を解くときに、完全に内容を理解しながら解ける人はなかなかいません。\n内容なんか全然わかんないけど、なんとなくぼや〜とイメージが湧いて、なぜか問題は解けているというのが大抵の人の場合で、それで大丈夫です。\n\n今あなたがされているように復習の際にしっかりと時間をかけて問題を理解しようとすることが大切です。\n時間はかかりますが、いかにきちんと復習をしているのかであなたの点数の伸び方は違ってきます。\n\n以前に長文の読み方について他の方の質問に答えているので、解き方についてはそちらを読んでみてください。参考になるかもしれません。\n\nもう１つの長文についての質問にも書いているのですが、問題中に出てきた単語で知らないものはその都度、解いている時に印をつけるなどして、復習の際に調べるなどして知識を増やすことが大切です。ただ、あまりにも片っ端から調べて、注釈のついているものまでまとめる必要はありません。\n \n時間をかけることは大事ですが、ほどほどに。\n\n応援しています。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"長文読解"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"あー、めっちゃ分かります。自分もそれで英語伸び悩んでました。10月までずっとです。自分の場合は、10月からやり方をガラッと変えました。それまでは、その長文をしっかり理解することを意識してたんですが、過去問解いていくうちにこれじゃダメだと思い、問題を解くための読み方にシフトしました。\nそれをやっただけで、だいぶ正答率も問題解く速さも変わりました。\n\n具体的には、\nまずは、先に設問文を読むこと。\n設問文にキーワードがあることがあります。本文読んでて、そのキーワードがでてきたらその付近での集中力は高めてください。\nあとは、英語の基本的な読み方として、\n速度で一気によみ、複雑でよく分からないところは精読するっていう感覚が大事ですかね。この使い分けがうまく出来るようになったことが、自分の中では1番大きかったです。\n\n他にも色々あったんですが…まあ、うまく説明できません笑笑\n長文はほぼ毎日触れると思うんですが、その中で自分なりに「点を取るための読み方」を編み出してください。この意識があるだけで、だいぶ違いますよ。\n"}],["$","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",[["$","path","0",{"fill":"none","d":"M0 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"全く手が出なかった問題の復習"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"おっしゃる通り、まずはとりあえず、理解できるまで読み込むことが大切です。そのうえで、実際に解答を書き写す時は、そっくりそのまま写すのではなく、自分なりにまとめながら確認していくことをお勧めします。こうすることで思考停止にならずに済むし、次に解いた時に思い出しやすくなるからです。数学や英語など教科によって間違えるポイントは違うと思いますが、復習に取り組む姿勢は同じです。\n\nまた、先述した通り、わからない問題を復習するときはどうしても、頭の中が動きにくいです。あれ？どこがわからなかったんだっけ…ということもあり得ます。そのため、一つ一つを頭の中で言葉にしながら、解答を確認していくと良いでしょう。例えば「この英語和訳の問題、こういう意味だと思ってたけど、ここが熟語だったんだ。そしたらここまでが修飾語になって名詞に係るから、こういう日本語訳になるわけね！」といった具合です。\n\n解き終わったら、質問者さんもおっしゃる通り、自分で解けるようになりたいところです。付箋を貼ったりチェックを付けたりして、次の日問題を解き始める前などに確認するようにしましょう！\n\n少しでもお役に立てたらうれしいです。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 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 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